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Diffusion limit for the radiative transfer equation perturbed by a Wiener process

Arnaud Debussche , Sylvain de Moor , Julien Vovelle
Kinetic and Related Models , 2015, 8 (3), pp.467-492. ⟨10.3934/krm.2015.8.467⟩
Article dans une revue hal-01044419v1
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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
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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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On the strong convergence of the gradient in nonlinear parabolic equations

Michel Pierre , Julien Vovelle
2011
Pré-publication, Document de travail hal-00154558v2
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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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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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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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La méthode des volumes finis appliquée aux lois de conservation d'ordre un

Julien Vovelle
Master. Université Rennes 1, France. 2012
Cours cel-01872732v1
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Stochastic isentropic Euler equations

Florent Berthelin , Julien Vovelle
Annales Scientifiques de l'École Normale Supérieure, 2019, 52 (1), pp.181-254. ⟨10.24033/asens.2386⟩
Article dans une revue hal-00878559v2
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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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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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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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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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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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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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Diffusion-approximation in stochastically forced kinetic equations

Arnaud Debussche , Julien Vovelle
Tunisian Journal of Mathematics, 2021, 3 (1), pp.1-53. ⟨10.2140/tunis.2021.3.1⟩
Article dans une revue hal-01567138v6

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

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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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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Invariant measures for a stochastic Fokker-Planck equation

Sylvain de Moor , Luis Miguel Miguel Rodrigues , Julien Vovelle
Kinetic and Related Models , 2018, 11 (2), pp.357--395. ⟨10.3934/krm.2018017⟩
Article dans une revue hal-01135504v2
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Supremum estimates for parabolic stochastic partial differential equations

Marta Leocata , Julien Vovelle
2023
Pré-publication, Document de travail hal-04283613v1

Diffusion limit for the radiative transfer equation perturbed by a Markovian process

Arnaud Debussche , Sylvain de Moor , Julien Vovelle
Asymptotic Analysis, 2016, 98 (1-2), pp.31-58. ⟨10.3233/ASY-161360⟩
Article dans une revue hal-01044426v1
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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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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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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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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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Introduction à la méthode des volumes finis

Julien Vovelle
Master. Université Rennes 1, France. 2012
Cours cel-01872725v1
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La méthode des volumes finis pour les équations paraboliques

Julien Vovelle
Master. Université Rennes 1, France. 2012
Cours cel-01872729v1

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