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A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications

 Cyril Imbert , Julien Vovelle
SIAM Journal on Mathematical Analysis, 2004, 36 (1), pp.214-232
Article dans une revue hal-00176541v1
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Approximation by PDEs

 Julien Vovelle
Master. France. 2020
Cours hal-02460703v2
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Convergence of Finite Volume Scheme for Conservation Law on Bounded Domain

 Julien Vovelle
Numerische Mathematik, 2002, 90 (3), pp.563-596. ⟨10.1007/s002110100307⟩
Article dans une revue istex hal-01376527v1
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Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods

 Anthony Michel , Julien Vovelle
SIAM Journal on Numerical Analysis, 2003, 41 (6), pp.2262-2293. ⟨10.1137/S0036142902406612⟩
Article dans une revue hal-01376539v1
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Global solutions to quadratic systems of stochastic reaction-diffusion equations in space-dimension two

 Marta Leocata , Julien Vovelle
2023
Pré-publication, Document de travail hal-04283612v2
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Supremum estimates for parabolic stochastic partial differential equations

 Marta Leocata , Julien Vovelle
2023
Pré-publication, Document de travail hal-04283613v1
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Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process

 Nils Caillerie , Julien Vovelle
2020
Pré-publication, Document de travail hal-01672879v2
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Convergence of the Finite Volume Method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation

 Sylvain Dotti , Julien Vovelle
Stochastics and Partial Differential Equations: Analysis and Computations, In press
Article dans une revue hal-01391073v4
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Existence and regularity of extremal solutions for a mean-curvature equation

 Antoine Mellet , Julien Vovelle
Journal of Differential Equations, 2010, 249 (1), pp.37-75. ⟨10.1016/j.jde.2010.03.026⟩
Article dans une revue hal-00951465v1
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Global dissipative martingale solutions to the variational wave equation with stochastic forcing

 Billel Guelmame , Julien Vovelle
2023
Pré-publication, Document de travail hal-04282928v1
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Convergence of the Finite Volume Method for scalar conservation laws with discontinuous flux function

 Sébastien Martin , Julien Vovelle
ESAIM: Mathematical Modelling and Numerical Analysis, 2008, 42 (5), pp.699-727. ⟨10.1051/m2an:2008023⟩
Article dans une revue hal-00149007v2
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Occurence and non-appearance of shocks in fractal Burgers equations

 Nathaël Alibaud , Jerome Droniou , Julien Vovelle
Journal of Hyperbolic Differential Equations, 2007, 4 (3), pp.479-499. ⟨10.1142/S0219891607001227⟩
Article dans une revue hal-00089709v1

Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients

 Florencce Bachmann , Julien Vovelle
Communications in Partial Differential Equations, 2006, 31 (3), pp.371-395. ⟨10.1080/03605300500358095⟩
Article dans une revue hal-00447307v1
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Existence and regularity of extremal solutions for a mean-curvature equation

 Antoine Mellet , Julien Vovelle
2009
Pré-publication, Document de travail hal-00375846v1
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An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions

 Jerome Droniou , Cyril Imbert , Julien Vovelle
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2004, 21 (5), pp.689-714. ⟨10.1016/j.anihpc.2003.11.001⟩
Article dans une revue hal-00018746v1

L1 solutions to first order hyperbolic equations in bounded domains

 Alessio Porretta , Julien Vovelle
Communications in Partial Differential Equations, 2003, 28 (1-2), pp.381-408. ⟨10.1081/PDE-120019387⟩
Article dans une revue hal-01376530v1
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A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux

 Florent Berthelin , Julien Vovelle
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2010, 140 (5), pp.953 -- 972. ⟨10.1017/S030821050900105X⟩
Article dans une revue hal-00951469v1

Global existence for quadratic systems of reaction-diffusion

 Laurent Desvillettes , Klemens Fellner , Michel Pierre , Julien Vovelle
Advanced Nonlinear Studies, 2007, 7 (3), pp.491-511. ⟨10.1515/ans-2007-0309⟩
Article dans une revue hal-00364787v1
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A BGK approximation to scalar conservation laws with discontinuous flux

 Florent Berthelin , Julien Vovelle
2010
Pré-publication, Document de travail hal-00462033v1
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Diffusion limit for a stochastic kinetic problem

 Arnaud Debussche , Julien Vovelle
Communications on Pure and Applied Mathematics, 2012, 11 (6), pp.2305-2326. ⟨10.3934/cpaa.2012.11.2305⟩
Article dans une revue hal-00576610v3
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Convergence of approximations to stochastic scalar conservation laws

 Sylvain Dotti , Julien Vovelle
Archive for Rational Mechanics and Analysis, 2018, 230 (2), pp.539-591. ⟨10.1007/s00205-018-1252-2⟩
Article dans une revue hal-01391069v5
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Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case

 Arnaud Debussche , Martina Hofmanova , Julien Vovelle
Annals of Probability, 2016, 44 (3), pp.1916-1955. ⟨10.1214/15-AOP1013⟩
Article dans une revue hal-00863829v2
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Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients

 Nicolas Seguin , Julien Vovelle
Mathematical Models and Methods in Applied Sciences, 2003, 13 (2), pp.221-257. ⟨10.1142/S0218202503002477⟩
Article dans une revue hal-01376535v1
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Error estimate for the Finite Volume Scheme

 Benoît Merlet , Julien Vovelle
Numerische Mathematik, 2007, 106 (1), pp.129-155. ⟨10.1007/s00211-006-0053-y⟩
Article dans une revue hal-00008660v3
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On a phase field model for solid-liquid phase transitions

 Sylvie Benzoni-Gavage , Laurent Chupin , Didier Jamet , Julien Vovelle
Discrete and Continuous Dynamical Systems - Series S, 2012, 32 (6), pp.1997-2025
Article dans une revue hal-00549828v2
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Global solution and smoothing effect for a non-local regularization of an hyperbolic equation

 Jerome Droniou , Thierry Gallouët , Julien Vovelle
Journal of Evolution Equations, 2003, 3 (3), pp.499-521. ⟨10.1007/s00028-003-0503-1⟩
Article dans une revue hal-00003438v1
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Regularity of stochastic kinetic equations

 Ennio Fedrizzi , Franco Flandoli , Enrico Priola , Julien Vovelle
Electronic Journal of Probability, 2017, 22 (48), ⟨10.1214/17-EJP65⟩
Article dans une revue hal-01327394v1
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On the strong convergence of the gradient in nonlinear parabolic equations

 Michel Pierre , Julien Vovelle
2011
Pré-publication, Document de travail hal-00154558v2

A kinetic approach in nonlinear parabolic problems with L1-data.

 Michel Pierre , Julien Vovelle
Zeitschrift für Analysis und ihre Anwendungen, 2012, 31 (3), pp.307-334. ⟨10.4171/ZAA/1462⟩
Article dans une revue hal-00776461v1
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Limit boundary conditions for finite volume approximations of some physical problems

 Robert Eymard , Thierry Gallouët , Julien Vovelle
Journal of Computational and Applied Mathematics, 2003, Vol. 161, pp. 349-369
Article dans une revue hal-00003443v1
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