Antoine Mellet - Publications

Affiliations: 
Mathematics University of Maryland, College Park, College Park, MD 

50 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Cucchi A, Mellet A, Meunier N. A Cahn--Hilliard Model for Cell Motility Siam Journal On Mathematical Analysis. 52: 3843-3880. DOI: 10.1137/19M1267969  0.302
2020 Maier M, Margetis D, Mellet A. Homogenization of time-harmonic Maxwell’s equations in nonhomogeneous plasmonic structures Journal of Computational and Applied Mathematics. 377: 112909. DOI: 10.1016/J.Cam.2020.112909  0.366
2020 Cesbron L, Mellet A, Puel M. Fractional Diffusion Limit of a Kinetic Equation with Diffusive Boundary Conditions in the Upper-Half Space Archive For Rational Mechanics and Analysis. 235: 1245-1288. DOI: 10.1007/S00205-019-01442-0  0.491
2017 Aceves-Sanchez P, Mellet A. Anomalous diffusion limit for a linear Boltzmann equation with external force field Mathematical Models and Methods in Applied Sciences. 27: 845-878. DOI: 10.1142/S021820251750018X  0.483
2017 Mellet A, Perthame B, Quirós F. A Hele–Shaw problem for tumor growth Journal of Functional Analysis. 273: 3061-3093. DOI: 10.1016/J.Jfa.2017.08.009  0.365
2016 Carrillo JA, Delgadino MG, Mellet A. Regularity of Local Minimizers of the Interaction Energy Via Obstacle Problems Communications in Mathematical Physics. 1-35. DOI: 10.1007/S00220-016-2598-7  0.301
2015 Karper TK, Mellet A, Trivisa K. Hydrodynamic limit of the kinetic Cucker-Smale flocking model Mathematical Models and Methods in Applied Sciences. 25: 131-163. DOI: 10.1142/S0218202515500050  0.39
2015 Mellet A. The Thin Film Equation with Non-Zero Contact Angle: A Singular Perturbation Approach Communications in Partial Differential Equations. 40: 1-39. DOI: 10.1080/03605302.2014.895380  0.428
2015 Mellet A, Merino-Aceituno S. Anomalous energy transport in FPU-β chain Journal of Statistical Physics. 160: 583-621. DOI: 10.1007/S10955-015-1273-2  0.466
2015 Imbert C, Mellet A. Self-Similar Solutions for a Fractional Thin Film Equation Governing Hydraulic Fractures Communications in Mathematical Physics. 340: 1187-1229. DOI: 10.1007/S00220-015-2459-9  0.375
2014 Kim I, Mellet A. Liquid drops sliding down an inclined plane Transactions of the American Mathematical Society. 366: 6119-6150. DOI: 10.1090/S0002-9947-2014-06236-3  0.354
2013 Mellet A, Roquejoffre JM, Sire Y. Existence and asymptotics of fronts in non local combustion models Communications in Mathematical Sciences. 12: 1-11. DOI: 10.4310/Cms.2014.V12.N1.A1  0.363
2013 Karper TK, Mellet A, Trivisa K. Existence of weak solutions to kinetic flocking models Siam Journal On Mathematical Analysis. 45: 215-243. DOI: 10.1137/120866828  0.482
2012 Imbert C, Mellet A. Electrified thin films: Global existence of non-negative solutions Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 29: 413-433. DOI: 10.1016/J.Anihpc.2012.01.003  0.41
2012 Cesbron L, Mellet A, Trivisa K. Anomalous transport of particles in plasma physics Applied Mathematics Letters. 25: 2344-2348. DOI: 10.1016/J.Aml.2012.06.029  0.473
2012 Caffarelli L, Mellet A, Sire Y. Traveling waves for a boundary reaction-diffusion equation Advances in Mathematics. 230: 433-457. DOI: 10.1016/J.Aim.2012.01.020  0.62
2011 Abdallah NB, Mellet A, Puel M. Fractional diffusion limit for collisional kinetic equations: A Hilbert expansion approach Kinetic and Related Models. 4: 873-900. DOI: 10.3934/Krm.2011.4.873  0.693
2011 Abdallah NB, Mellet A, Puel M. Anomalous diffusion limit for kinetic equations with degenerate collision frequency Mathematical Models and Methods in Applied Sciences. 21: 2249-2262. DOI: 10.1142/S0218202511005738  0.698
2011 Imbert C, Mellet A. Existence of solutions for a higher order non-local equation appearing in crack dynamics Nonlinearity. 24: 3487-3514. DOI: 10.1088/0951-7715/24/12/008  0.474
2011 Mellet A, Mischler S, Mouhot C. Fractional Diffusion Limit for Collisional Kinetic Equations Archive For Rational Mechanics and Analysis. 199: 493-525. DOI: 10.1007/S00205-010-0354-2  0.49
2010 Mellet A, Roquejoffre JM, Latp YS. Generalized fronts for one-dimensional reaction-diffusion equations Discrete and Continuous Dynamical Systems. 26: 303-312. DOI: 10.3934/Dcds.2010.26.303  0.462
2010 Mellet A. Fractional diffusion limit for collisional kinetic equations: A moments method Indiana University Mathematics Journal. 59: 1333-1360. DOI: 10.1512/Iumj.2010.59.4128  0.5
2010 Kim IC, Mellet A. Homogenization of one-phase Stefan-type problems in periodic and random media Transactions of the American Mathematical Society. 362: 4161-4190. DOI: 10.1090/S0002-9947-10-04945-7  0.396
2010 Mellet A, Vovelle J. Existence and regularity of extremal solutions for a mean-curvature equation Journal of Differential Equations. 249: 37-75. DOI: 10.1016/J.Jde.2010.03.026  0.417
2009 Mellet A, Nolen J, Roquejoffre JM, Ryzhik L. Stability of generalized transition fronts Communications in Partial Differential Equations. 34: 521-552. DOI: 10.1080/03605300902768677  0.379
2009 Mellet A, Vasseur A. Lp estimates for quantities advected by a compressible flow Journal of Mathematical Analysis and Applications. 355: 548-563. DOI: 10.1016/J.Jmaa.2009.01.073  0.446
2009 Caffarelli LA, Mellet A. Random homogenization of an obstacle problem Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 26: 375-395. DOI: 10.1016/J.Anihpc.2007.09.001  0.528
2009 Mellet A, Vasseur A. A bound from below for the temperature in compressible Navier-Stokes equations Monatshefte Fur Mathematik. 157: 143-161. DOI: 10.1007/S00605-008-0021-Y  0.395
2009 Kim IC, Mellet A. Homogenization of a Hele-Shaw problem in periodic and random media Archive For Rational Mechanics and Analysis. 194: 507-530. DOI: 10.1007/S00205-008-0161-1  0.347
2008 Caffarelli L, Mellet A. Random homogenization of fractional obstacle problems Networks and Heterogeneous Media. 3: 523-554. DOI: 10.3934/Nhm.2008.3.523  0.594
2008 Mellet A, Vasseur A. Asymptotic analysis for a Vlasov-Fokker-Planck/ compressible Navier-Stokes system of equations Communications in Mathematical Physics. 281: 573-596. DOI: 10.1007/S00220-008-0523-4  0.465
2007 Mellet A, Vasseur A. Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations Mathematical Models and Methods in Applied Sciences. 17: 1039-1063. DOI: 10.1142/S0218202507002194  0.473
2007 Caffarelli LA, Lee KA, Mellet A. Flame propagation in one-dimensional stationary ergodic media Mathematical Models and Methods in Applied Sciences. 17: 155-169. DOI: 10.1142/S0218202507001863  0.574
2007 Mellet A, Vasseur A. Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations Siam Journal On Mathematical Analysis. 39: 1344-1365. DOI: 10.1137/060658199  0.454
2007 Mellet A, Vasseur A. On the barotropic compressible Navier-Stokes equations Communications in Partial Differential Equations. 32: 431-452. DOI: 10.1080/03605300600857079  0.429
2007 Caffarelli LA, Mellet A. Capillary drops: Contact angle hysteresis and sticking drops Calculus of Variations and Partial Differential Equations. 29: 141-160. DOI: 10.1007/S00526-006-0036-Y  0.528
2007 Mellet A, Vasseur A. Homogenization of a nonlinear transport equation Asymptotic Analysis. 51: 157-166.  0.331
2006 Caffarelli LA, Lee KA, Mellet A. Homogenization and flame propagation in periodic excitable media: The asymptotic speed of propagation Communications On Pure and Applied Mathematics. 59: 0501-0525. DOI: 10.1002/Cpa.20094  0.518
2004 Bourgade JP, Mellet A, Mieussens L. Numerical comparison between two spherical harmonics expansion models and a kinetic equation Mathematical and Computer Modelling. 40: 777-795. DOI: 10.1016/J.Mcm.2004.10.009  0.456
2004 Mellet A, Mischler S. Uniqueness and semigroup for the vlasov equation with elastic-diffusive reflexion boundary conditions Applied Mathematics Letters. 17: 827-832. DOI: 10.1016/J.Aml.2004.06.013  0.467
2004 Caffarelli LA, Lee KA, Mellet A. Singular limit and homogenization for flame propagation in periodic excitable media Archive For Rational Mechanics and Analysis. 172: 153-190. DOI: 10.1007/S00205-003-0299-9  0.562
2003 Ben Abdallah N, Degond P, Mellet A, Poupaud P. Electron transport in semiconductor superlattices Quarterly of Applied Mathematics. 61: 161-192. DOI: 10.1090/Qam/1955228  0.46
2003 Goudon T, Mellet A. Homogenization and diffusion asymptotics of the linear Boltzmann equation Esaim - Control, Optimisation and Calculus of Variations. 371-398. DOI: 10.1051/Cocv:2003018  0.493
2003 Goudon T, Mellet A. On fluid limit for the semiconductors Boltzmann equation Journal of Differential Equations. 189: 17-45. DOI: 10.1016/S0022-0396(02)00096-7  0.506
2003 Mellet A. Macroscopic model for coupled surface and volume collisions in semiconductor superlattices Asymptotic Analysis. 33: 337-361.  0.327
2002 Degond P, Latocha V, Mancini S, Mellet A. Diffusion dynamics of an electron gas confined between two plates Methods and Applications of Analysis. 9: 127-150. DOI: 10.4310/Maa.2002.V9.N1.A5  0.531
2002 Goudon T, Mellet A. Discrete version of the SHE asymptotics: Multigroup neutron transport equations Journal of Mathematical Physics. 43: 3232-3260. DOI: 10.1063/1.1475346  0.493
2002 Mellet A, Perthame B. L1 contraction property for a Boltzmann equation with Pauli statistics Comptes Rendus Mathematique. 335: 337-340. DOI: 10.1016/S1631-073X(02)02495-0  0.409
2002 Mellet A. Diffusion limit of a non-linear kinetic model without the detailed balance principle Monatshefte Fur Mathematik. 134: 305-329. DOI: 10.1007/S605-002-8265-1  0.429
2001 Goudon T, Mellet A. Diffusion approximation in heterogeneous media Asymptotic Analysis. 28: 331-358.  0.431
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