hide Department of Mathematics
The University of Chicago
5734 S. University Ave. Chicago, IL 60637, USA
Telephone: (773) 702-7330
Fax: (888) 801-3837
Email: souganidis@math.uchicago.edu
Web: http://math.uchicago.edu/~souganidis/

hide Ph.D. University of Wisconsin-Madison, 1983
M.A. University of Wisconsin-Madison, 1981
B.A. National University of Athens, Greece, 1981

hide Partial Differential Equations

hide Academic Positions
Visiting Positions

hide Medal of College de France (2009) Charles H. Swift Distinguished Service Professor in Mathematics and the College, The University of Chicago (2008-present) R. L. Moore Chair, The University of Texas at Austin (2005-2008) Penzoil Company Regents Professor, The University of Texas at Austin (2003-2005) Asbel Smith Professor, The University of Texas at Austin (2001-2003) Bodossaki Foundation Academic Prize (1996) Villas Associate, University of Wisconsin-Madison (1996-1997) International Congress of Mathematicians (45 minute invited lecture) (1994) Alfred P. Sloan Fellow (1989) Presidential Young Investigator (1987)

hide American Mathematical Society
SIAM
AAAS

hide Communications in Partial Differential Equations, Co-Editor, 1992 - present
Editorial Boards Electronic Journal on Differential Equations, 1993 - present Anal. Institute H. Poincare Analyse Non Lineaire, 2001 - present Bulletin of the American Mathematical Society, 2001 - 2010 Encyclopedia of Applied and Computational Mathematics, 2007 - present Journal of Nonlinear Differential Equations and Applications, 2008 - present ESAIM: Control, Optimisation and Calculus of Variations, 2008-present Journal de Mathematiques, Pures et Appliques, 2009-present Stochastic Partial Differential Equations: Analysis and Computation, 2011-present Mathematical Models and Methods in Applied Sciences, Associate Editor, 2013--present Research in Mathematical Sciences, Associate Editor, 2014-present

hide Chair of the committee to select the new director of the IMA Board of Governors of the Institute for Mathematics and its Applications, 2010-2015 Council of the American Mathematical Society, Member at Large, 2009-2012 Scientific Advisory Board, Banff International Research Station
Conferences/Programs/Schools - Member of Scientific/Organizing Committees Workshop on ``Stochastic Homogenization'', June 2015, Banff, Canada Special semester on ``Homogenization and Random Phenomena'', Fall 2014, Mittag-Leffler Institute, Stockholm, Sweden Co-organizer of the Inaugural Analysis School, June 2014, Chicago Summer school on "Stochastic homogenization", The University of Chicago (2012) Tutorial program on "Viscosity solutions and mathematical biology", Hokaido University, Sapporo, Japan (2011) Workshop on "Stochastic Partial Differential Equations: Theory, numerics and applications", Isaac Newton Institute, Cambridge, UK (2010) Program on "Stochastic Partial Differential Equations", Isaac Newton Institute, Cambridge, UK (2010) Tutorial program on "Viscosity solutions and related topics", July 2010, Hokaido University, Sapporo, Japan (2010) Thematic summer program on Nonlinear PDE, PIMS, Vancouver, Canada (2009) Workshop on "Analysis of nonlinear PDEs and free boundary problems: Applications to homogenization", PIMS, Vancouver, Canada (2009) Conference on "Future directions in the theory of nonlinear pde", Austin (2008) Conference "Current Perspectives in Applied Mathematics", Courant Institute, New York University (2009) International Conference on "Contemporary Applied Mathematics", Shanghai, China (2009) Conference on "Future directions in the theory of nonlinear pde", University of Texas at Austin (2008) Workshop on "Numerical methods for degenerate elliptic equations", BIRS, Banff, Canada (2006) Conference on "Random homogenization", CIRM, Marseille, France, (2005) Workshop on "Recent developments in random homogenization", INDAM, Rome, Italy (2005) Workshop on "Front propagation and nonlinear stochastic pde's for combustion applications", CRM, Montreal, Canada (2005) Thematic year on "The mathematics of stochastic multiscale modelling", CRM, Montreal, Canada (2004-2005) European Training Network on "Hyperbolic and kinetic equations" (2000-2005) Thematic summer program on Nonlinear PDE, PIMS, Vancouver, Canada (2001) Workshop on "Viscosity methods in PDE", PIMS, Vancouver, Canada (2001) Conference on "Nonlinear analysis", University of California-Santa Barbara (2000) Program on "Geometrically based motions", IPAM, Los Angeles (2001) Workshop on "Moving interfaces and threshold dynamics", IPAM, Los Angeles (2001) Conference on "Turbulent reaction diffusion", Herakleion, Greece (1999) Euroconference on "Front propagation", Herakleion, Greece (1998) Summer program on "Conservation laws", Herakleion, Greece, (1998) Summer program on "Viscosity solutions", Herakleion, Greece (1998) Special session on "viscosity solutions", SIAM meeting on Control, Minneapolis (1992) Special on "front propagation", AMS meeting, Philadelphia (1991) Special session on "viscosity solutions and applications", 29th IEEE-CDC, Honolulu (1990) Conference on "Stochastic control and PDE", Brown University, Providence (1988) Special session on "applications of viscosity solutions", 25th IEEE-CDC meeting, Athens, Greece (1986)

hide National Science Foundation

hide O. Ley, University of Tours, France E. Texeiro, The University of Texas at Austin M. Tores, University of Texas at Austin L. Silvestre, The University of Texas at Austin J. Nolen, The University of Texas at Austin D. Moreira, The University of Texas at Austin C. Imbert, University of Paris 9, France A. Young, The University of Texas at Austin R. Alonso, The University of Texas at Austin C. Michoski, The University of Texas at Austin B. Orkan, The University of Texas at Austin N. Guillen, The University of Texas at Austin A. Ciomaga, Ecole Normale de Cachan, France S. Mirahimi, University of Paris 6, France N. Forcadel, University of Paris 9, France B. D. Froese, Simon Fraser University

hide Former
Current

hide P. Soravia A. Yip M. Arisawa A. Oberman N. Dirr M. Rudd Y. Yu S. Armstrong A. Ciomaga H. Tran B.  Gess W.  Jia

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1. Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations (with L.C. Evans), Indiana U. Math. J. 33 (1984), no. 5, 773-797.
2. Developments in the theory of nonlinear first-order partial differential equations (with M.G. Crandall), Differential Equations, Birmingham, Alabama, 1983, 131-142, North-Holland Math. Studies, 92, North-Holland, Amsterdam, 1984.
3. A PDE approach to some large deviations problems (with W. H. Fleming). Nonlinear systems of partial differential equations in applied mathematics, Part 1 (Santa Fe, N.M., 1984), 441-447, Lectures in Appl. Math. 23, Amer. Math. Soc., Providence, RI, 1986.
4. Existence of viscosity solutions of Hamilton-Jacobi equations, J. Differential Equations 56 (1985), no. 3, 345-390.
5. Approximation schemes for viscosity solutions of Hamilton-Jacobi equations, J. Differential Equations 59 (1985), no. 1, 1-43.
6. Max-min representations and product formulas for viscosity solutions of Hamilton-Jacobi equations with applications to differential games, Nonlinear Anal. 9 (1985), no. 3, 217-257.
7. Asymptotic series for solutions to the dynamic programming equation for diffusions with small noise (with W.H. Fleming), in Proceeding of 24th IEEE Conference on Decision and Control, December 1985.
8. Convergence of difference approximations of quasilinear evolution equations (with M.G. Crandall), Nonlinear Anal. 10 (1986), no. 5, 425-446.
9. A PDE approach to asymptotic estimates for optimal exit probabilities (with W. H. Fleming). Stochastic differential systems (Marseille-Luminy, 1984), 281-285, Lecture Notes in Control and Inform. Sci., 69, Springer, Berlin, 1985.
10. Differential games, optimal control and directional derivatives of viscosity solutions of Bellman's and Isaacs' equations (with P.-L. Lions), SIAM J. Control Optim. 23 (1985), no. 4, 566-583.
11. PDE-viscosity solution approach to some problems of large deviations (with W.H. Fleming), Ann. di Scuola Norm. Sup. Pisa Cl. Sci. (4) 13 (1986), no. 2, 171-192.
12. Differential games, optimal control and directional derivatives of viscosity solutions of Bellman's and Isaacs' equations, II (with P.-L. Lions), SIAM J. Control Optim. 24 (1986), no. 5, 1086-1089.
13. A remark about viscosity solutions on the boundary, Proc. Amer. Math. Soc. 96 (1986), no. 2, 323-330.
14. Recent developments in the theory of nonlinear scalar first and second-order partial differential equations. Dynamics of Infinite Dimensional Systems (Lisbon, 1986), 301-311, NATO Adv. Sci. Inst. Ser. F Comput. Systems Sci., 37, Springer, Berlin, 1987.
15. A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension (with R. Jensen), Trans. Amer. Math. Soc. 301 (1987), no. 1, 137-147.
16. Blow-up of solutions of Hamilton-Jacobi equations (with A. Friedman), Comm. Partial Differential Equations 11 (1986), no. 4, 397- 443.
17. Asymptotic series on the method of vanishing viscosity (with W.H. Fleming), Indiana Univ. Math. J. 35 (1986), no. 2, 425-448; Erratum: Indiana Univ. Math. J. 35 (1986), no. 4, 925.
18. Stability and instability of solitary waves of Korteweg-deVries type (with J.L. Bona and W.A. Strauss), Proc. Roy. Soc. Lond. Ser. A 411 (1987), no. 1841, 395-412.
19. The relation between the porous-medium and eikonal equations in several space dimensions (with P.- L. Lions and J.L. Vazquez), Rev. Mat. Iberoamericana 3 (1987), no. 3-4, 275-310.
20. Viscosity solutions of second-order equations, stochastic control and stochastic differential games (with P.-L. Lions). Stochastic differential systems, stochastic control theory and applications (Minneapolis, Minn., 1986), 293-309, IMA Vol. Math. Appl.,10, Springer, New York, 1988.
21. A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations (with R. Jensen and P.-L. Lions). Proc. Amer. Math. Soc. 102, (1988), no. 4, 975-978.
22. Two player, zero-sum stochastic differential games (with W.H. Fleming). Analyse mathematique et applications, 151-164, Gauthier-Villars, Montrouge, 1988.
23. Maximal solutions and universal bounds for some partial differential equations of evolution (with M.G. Crandall and P.-L. Lions). Arch. Rational Mech. Anal. 105 (1989), no. 2, 163-190.
24. On the existence of value functions of two player, zero-sum stochastic differential games (with W. H.  Fleming). Indiana Univ. Math. J. 38 (1989), no. 2, 293-314.
25. A PDE approach to geometric optics for certain reaction-diffusion equations (with
L. C. Evans), Indiana Univ. Math. J. 38 (1989), no. 1, 141-172.
26. A PDE approach to certain large deviations problem for systems of parabolic equations
(with L. C.  Evans). Analyse non lineaire (Perpignan, 1987). Ann. Inst. H. Poincare Anal. Non Lineaire 6 (1989), suppl., 229-258.
27. On nonlinear evolution equations (with M.G. Crandall). Nonlinear Anal. 13 (1989), no. 12, 1375-1392.
28. Wavefront propagation for reaction-diffusion systems of PDE (with G. Barles and L.C. Evans). Duke Math. J. 61 (1990), no. 3, 835-858.
29. Instability of a class of dispersive solitary waves (with W.A. Strauss). Proc. Roy. Soc. Edinburgh Sect. A 114 (1990), no. 3-4, 195-212.
30. Convergence of approximation schemes for fully nonlinear second-order equations (with G. Barles). Asymptotic Anal. 4 (1991), no. 3, 271-283.
31. Convergence of MUSCL type methods for scalar conservation laws (with P.-L. Lions). C.R. Acad. Sci. Paris Série I Math. 311 (1990), no. 5, 259-264.
32. Front propagation for reaction-diffusion equations of bistable type (with L. Bronsard and G. Barles). Ann. Inst. H. Poincaré Anal. Non Lineaire 9 (1992), no. 5, 479-496.
33. Phase transitions and generalized motion by mean curvature (with L.C. Evans and H.M. Soner). Comm. Pure Appl. Math. 45 (1992), no. 9, 1097-1123.
34. Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature (with H.M. Soner). Comm. Partial Differential Equations 18 (1993), no. 5-6, 859-894.
35. Front propagation and phase field theory (with G. Barles and H.M. Soner). SIAM J. Control Optim. 31 (1993), no. 2, 439-469.
36. Fully nonlinear second-order degenerate elliptic equations with large zeroth-order term (with P.-L. Lions). Indiana Univ. Math. J. 42 (1993), no. 4, 1525-1543.
37. Interacting particle systems and generalized evolution of fronts (with M. Katsoulakis). Arch. Rational Mech. Anal. 127 (1994), no. 2, 133-157.
38. Large-scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales (with A. Majda). Nonlinearity 7 (1994), no. 1, 1-30.
39. A remark on the asymptotic behavior of the solution of the KPP equation (with G. Barles). C.R. Acad. Sci. Paris, Sér. I Math. 319 (1994), no. 7, 679-684.
40. Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles (with M. Gurtin and H.M. Soner). J. Differential Equations 119 (1995), no. 1, 54-108.
41. Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi (with P.-L. Lions). Numer. Math. 69 (1995), no. 4, 441-470.
42. Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensors (with H. Ishii). Tohuko Math. J. (2) 47 (1995), no. 2, 227-250.
43. Phase field theory for a FitzHugh-Nagumo-type systems (with P. Soravia). SIAM J. Math. Anal. 42 (1996), no. 5, 1341-1359.
44. Generalized motion by mean curvature as a macroscopic limit for stochastic Ising models with long range interactions and Glauber dynamics (with M. Katsoulakis). Comm. Math. Physics 169 (1995), no. 1, 61-97.
45. Effective geometric front dynamics for premixed turbulent combustion with separated velocity scales (with P. Embid and A. Majda). Comb.\ Sci. Tech. 103 (1995) 85-115.
46. Comparison of turbulent flame speeds from complete averaging and the G-equation (with P. Embid and A. Majda). Phys. of Fluids 7 (1995), no. 8, 2052-2060.
47. Front propagation for reaction-diffusion arising in combustion theory (with G. Barles and C. Georgelin).  Asymptot. Anal. 14 (1997), no. 3, 277-292.
48. Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates (with P.-L. Lions and B. Perthame). Comm. Pure Appl. Math. 49 (1996), no. 6., 599-638.
49. Weak stability of isentropic gas dynamics system for γ = 5/3 (with P. -L. Lions and B. Perthame). Progress in elliptic and parabolic partial differential equation (Capri, 1994), 184-192, Pitman Res. Notes Math. Ser., 350, Longman, Harlow, 1996.
50. Interface dynamics in phase transitions. Proceedings of the International Congress of Mathematicians, Vol. 1,2 (Zurich, 1994), 1133-1144, Birkhäuser, Basel, (1995).
51. Bounds on enhanced turbulent flame speeds for combustion with fractal velocity fields (with A. Majda). J. Stat. Phys. 83 (1996) 933-954.
52. Front propagation: Theory and Applications. Viscosity solutions and applications (Montecatini Terme, 1995), Lecture Notes in Math., 1660, Springer, Berlin, 1997.
53. Stochastic Ising models and anisotropic front propagation (with M. Katsoulakis). J. Statist. Phys. 87 (1997), no. 1-2, 63-89.
54. A new approach to generalized front propagation problems: Theory and applications (with G. Barles). Arch. Rational Mech.\ Anal. 141 (1998), no. 3, 237-296.
55. Examples and counterexamples for Huygens principle in premixed combustion (with P. Embid and A. Majda), Combust. Sci. Tech. 120 (1996) 273-303.
56. Threshold dynamics type approximation schemes for propagating fronts (with H. Ishii and G. Pires). J. Math. Soc.\ Japan 51 (1999), no. 2, 267-308.
57. Two-player, zero sum differential games and viscosity solutions, Stochastic and differential games, 69-104, Ann. Internat. Soc. Dynam. Games, 4, Birkhäuser Boston, Boston, MA, 1999.
58. Fully nonlinear stochastic partial differential equations (with P.-L. Lions). C.R. Acad. Sci. Paris Ser. I Math 326 (1998), no. 9, 1085-1092.
59. A limiting case for velocity averaging (with B.\ Perthame). Ann. Sci. École. Norm. Sup. (4) 31, no. 4, (1998) 591-598.
60. Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations (with G. Barles and E. Rouy). Stochastic analysis, control, optimization and applications, 209-222, Systems Control Found. Appl., Birkhäuser, Boston, Boston, MA, 1999.
61. Un cas limite des lemmes de compacite en moyenne motive par la formulation cinetique de systemes hyperbolique (French) (with B. Perthame). Journees "Equations aux Derivees Partielles" (Saint Jean-de-Monts) (1997), Exp. No. XII, Ecole Polytech., Palaiseau, 1997.
62. Flame fronts in turbulent combustion models with fractal velocity fields (with A. J. Majda). Comm. Pure Appl. Math 51 (1998), no. 11-12, 1337-1348.
63. A limiting case for the averaging lemma motivated by the kinetic formulation of some classical systems in fluid mechanics (with B.  Perthame). Dynamical systems, plasma and gravitation (Orleans La Source. 1997) 55-61, Lect. Notes in Phys., 518, Springer, Berlin, 1999.
64. Finite volume schemes for Hamilton-Jacobi equations (with G. Kossioris and Ch. Makridakis). Numer. Math. 83 (1999), no. 3, 427-442.
65. Fully nonlinear stochastic partial differential equations: non-smooth equations and applications (with P.-L. Lions). C.R. Acad. Sci. Paris Ser. I 327 (1998), no. 8, 735-741.
66. The effect of turbulence on mixing in prototype reaction diffusion systems (with A. Majda). Comm. Pure Appl. Math. 53 (2000), no. 10, 1284-1304.
67. On the large time behavior of solutions Hamilton-Jacobi equations (with G. Barles). SIAM J. Math. Anal. 31 (2000), no. 4, 925-939.
68. Stochastic homogenization for Hamilton-Jacobi equations and applications, Asymptot. Anal. 20 (1999), no. 1, 1-11.
69. Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations (with P.-L. Lions). C. R. Acad. Paris Ser. I Math. 331 (2000), no. 10, 783-790.
70. Fully nonlinear stochastic partial differential equations with semilinear stochastic dependence (with P.-L. Lions). C. R. Acad. Paris Ser. I Math. 331 (2000), no. 8, 617-624.
71. Space-time periodic solutions and long-time behavior of solutions to quasilinear parabolic equations (with G. Barles). SIAM J. Math. Anal. 32 (2001), no. 6, 1311-1323.
72. Equations aux derivees partielles stochastiques nonlineaires et solutions de viscosite (with P. -L. Lions). Seminaire: Equations aux Derivees Partielles, 1998-1999, Exp. No. I, Semin. Equ. Deriv. Partielles, Ecole Polytech., Pallaiseau, 1999.
73. Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations (with G. Barles). C.R. Acad. Sci. Paris Ser. I Math 330 (2000), no. 11, 963-968.
74. Viscosity solutions of fully nonlinear stochastic partial differential equations, Viscosity solutions of differential equations and related topics (Japanese) Kyoto, 2001, Surikaisekikenky Kokyuroku 1287 (2002) 58-65.
75. Recent developments in the theory of front propagation and its applications, Modern methods in scientific computing and applications (Montreal, QC, 2001), 397-449, NATO Sci. Ser. II Math. Phys. Chem., 75, Kluwer Acad. Publ., Dordrecht, 2002.
76. Correctors for the homogenization theory of Hamilton-Jacobi equations (with P.-L.\ Lions). Comm. Pure Appl. Math. 56 (2003), no. 10, 1501-1524.
77. Uniqueness of motion by mean curvature perturbed by stochastic noise (with N.\ Yip). Ann. Inst. H. Poincare Anal. Non Lineaire 21 (2004), no. 1, 1-23.
78. Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws (with B.  Perthame). Arch. Ration. Mech. Anal. 170 (2003), no. 4, 359-370; Arch. Ration. Mech. Anal. 204 (2004), no. 3, 443-447.
79. Homogenization for fully nonlinear, second-order elliptic and parabolic partial differential equations in stationary ergodic media (with L. Caffarelli and L.\ Wang). Comm. Pure Appl. Math. 58 (2005), no. 3, 319-361.
80. Homogenization for "viscous" Hamilton-Jacobi equations in stationary, ergodic media (with P.-L. Lions). Comm. Partial Differential Equations 30 (2005), no. 1-3, 335-376.
81. Front propagation for a jump process arising in spatial ecology (with B. Perthame). Discrete Contin. Dyn. Syst. 13 (2005), no. 5, 1235-1246.
82. Large time behavior for viscous and non-viscous Hamilton-Jacobi equations forced by additive noise (with N. Dirr). SIAM J. Math. Anal. 37 (2005), no. 3, 777-796.
83. Homogenization of degenerate second-order pde in periodic and almost periodic environments and applications (with P.-L. Lions). Ann. Inst. H. Poincare Anal. Nonlineaire, 22 (2005), no. 5, 667-677.
84. Recent developments in the theory of homogenization for fully nonlinear first- and second-order pde in random environments. Boletin de la Sociedad Espanola de Matematica Aplicada 34 (2006), 81-90.
85. A rate of convergence for monotone finite difference approximations to fully nonlinear uniformly elliptic pde (with L. Caffarelli), Comm. Pure Appl. Math.LXI (2008), no. 1, 1-17.
86. Ergodic problems and periodic homogenization for fully nonlinear equations in half-space domains with Neumann boundary conditions (with G. Barles, F. Da Lio and P.-L. Lions), Indiana Univ. Math. Journal 57 (2008), no. 5, 2355-2376.
87. Asymptotic and numerical homogenization (with B. Engquist), Acta Numer. 17 (2008), 147-190.
88. Asymmetric potentials and motor effect: a large deviation approach (with B. Perthame), Arch. Ration. Mech. Anal. 193 (2009), no. 1, 153-169.
89. A discussion about the homogenization of moving fronts (with P. Cardaliaguet and P.-L. Lions), Journal Mathematiques Pure et Appliques 91 (2009), no. 4, 339-363.
90. Asymmetric potentials and motor effect: a homogenization approach (with B. Perthame), Ann. Inst. H. Poincare Anal. Nonlineaire 26 (2009), no. 6, 2055-2071.
91. Recent developments in the theory of stochastic homogenization of first- and second- order fully nonlinear pde and applications, in Proceedings of International Conference on the 25th Anniversary of Viscosity Solutions", GAKUTO International Series, Mathematical Sciences and Applications.
92. Convergence of nonlocal threshold dynamics approximations to front propagation (with L. Caffarelli), Arch. Ration. Mech. Anal. 195 (2010), no. 1, 1-23.
93. Stochastic homogenization for Hamilton-Jacobi and "viscous" Hamilton-Jacobi equations with convex nonlinearities-revisited (with P.-L. Lions), Comm. Mathematical Sciences 8 (2010), no. 2, 627-637.
94. The existence and uniqueness of weak solutions for precipitating fronts: A novel hyperbolic free boundary problem in several space dimensions (with A. J. Majda), Comm. Pure Appl. Math. 63 (2010), no. 10, 1351-1361.
95. Rates of convergence for the homogenization of uniformly elliptic pde in random media (with L. Caffarelli), Invent. Math. 180, no. 2, 301-360.
96. A homogenization approach to flashing ratchets (with B. Perthame), NODEA Nonlinear Differential Equations Appl. 18 (2011), no. 1, 45-38.
97. Homogenization and enhancement for the G-equation in periodic media (with
P. Cardaliaguet and J. Nolen), Arch. Ration. Mech. Anal. 199, no. 2, 527-561.
98. Singular Hamilton-Jacobi equation for the tail problem (with S. Mirrahimi, G. Barles and B. Perthame), SIAM J. Math. Analysis 44 2012, no. 6, 4297-4319.
99. Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments (with S. Armstrong), J. Math. Pure Appl. (9) 97 (2012), no. 5, 460-504.
100. A pde approach to small stochastic perturbations of Hamiltonian flows (with H. Ishii), J. Dif. Equations 252 (2012), no. 2, 1748-1775.
101. Homogenization of L^∞ variational problems (with S.  Armstrong), Adv. in Mathematics 229 (2012), 3508-3535.
102. Homogenization and enhancement of the G-equation in random environments (with P.  Cardaliaguet), Comm. Pure Appl. Math. 60 (2013), no. 10, 1582--1628.
103. A homogenization approach for the motion of motor proteins (with S.  Mirrahimi), NODEA Nonlinear Differential Equations Appl. 20 (2013), no. 1, 129Ð147.
104. Stochastic averaging lemmas for kinetic equations (with P.-L.  Lions and B. Perthame, Seminaire Equations Aux Derivee Partielles (Ecole Polytechnique) 2011-2012, no. 1.
105. Stochastic homogenization of level-set convex Hamilton-Jacobi equations (with S. Armstrong), Int. Math. Res. Not. 2013 (2013), no. 17, 3420--3449.
106. Scalar conservation laws with rough (stochastic) fluxes (with B.  Perthame and P.-L. Lions). Stochastic Partial Differential Equations: Analysis and Computations 1
107. Concentration phenomena for neutronic multigroup diffusion in random environments (with S.  Armstrong), Ann. Inst. H. Poincare Anal. Non Lineaire 30 (2013), no. 3., 419--439.
108. Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations (with S.  Armstrong and P.  Cardaliaguet), J. Amer. Math. Soc. 27}(2014), no. 2, 479--540.
109. Time fluctuations in a population model of adaptive dynamics (with S.  Mirrahimi and B. Perthame), Ann. Inst. H. Poincare Anal. Non Lineaire, to appear. arXiv:1306.0376.
110. Periodic approximations of the ergodic constants in the stochastic homogenization (with P.  Cardaliaguet), Ann. Inst. H. Poincare Anal. Non Lineaire, to appear. arXiv:1308.3313.
111. Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case (with B.  Perthame and P.-L. Lions). Stochastic Partial Differential Equations: Analysis and Computations, to appear. arXiv 1403.4424
112. Metastability properties for parabolic equations with drift: Part 1 (with H.  Ishii), Indiana Univ. Math. Journal, to appear. arXiv 1312.5504.
113. Stochastic homogenization of interfaces moving with changing sign normal velocity (with A.  Ciomaga and H.  Tran), J. Differential Equations, to appear. arXiv 1404.0364.
114. Scalar conservation laws with multiple rough fluxes (with B.  Gess), Communications in Mathematical Sciences, to appear. arXiv 1406.2978
115. Quantitative homogenization of elliptic pde with random oscillatory boundary data (with W.  Feldman and I.  Kim), J. Math. Pure Appl., to appear. arXiv:1408.0254
116. Large time average of reachable sets and applications to the homogenization of interfaces moving with oscillatory velocity (with W.  Jing and H.  Tran). arXiv:1408.2013.
117. Long-time behavior, invariant measures and regularizing effects for stochastic scalar conservation laws (with B.~Gess). arXiv:1411.3939.

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