Edit Profile (opens in new tab) Vovelle, Julien Co-Author Distance Author ID: vovelle.julien Published as: Vovelle, Julien; Vovelle, J.; Vovelle, Jullien more...less Homepage: http://math.univ-lyon1.fr/homes-www/vovelle/cv_Vovelle.pdf External Links: MGP · dblp Documents Indexed: 38 Publications since 2002, including 1 Additional arXiv Preprint Co-Authors: 32 Co-Authors with 37 Joint Publications 946 Co-Co-Authors all top 5 Co-Authors 1 single-authored 10 Debussche, Arnaud 3 De Moor, Sylvain 3 Droniou, Jérôme 3 Martin, Sébastien 2 Berthelin, Florent 2 Dotti, Sylvain 2 Gallouët, Thierry 2 Imbert, Cyril 2 Pierre, Michel 2 Seguin, Nicolas 1 Alibaud, Nathaël 1 Bachmann, Florence 1 Benzoni-Gavage, Sylvie 1 Briant, Marc 1 Caillerie, Nils 1 Chupin, Laurent 1 Desvillettes, Laurent 1 Eymard, Robert 1 Fedrizzi, Ennio 1 Fellner, Klemens 1 Flandoli, Franco 1 Guelmame, Billel 1 Hofmanová, Martina 1 Jamet, Didier 1 Mellet, Antoine 1 Merlet, Benoît 1 Michel, Anthony 1 Ohlberger, Mario 1 Porretta, Alessio 1 Priola, Enrico 1 Rodrigues, Luis Miguel 1 Rosello, Angelo all top 5 Serials 2 Numerische Mathematik 2 Communications in Partial Differential Equations 2 Kinetic and Related Models 1 Archive for Rational Mechanics and Analysis 1 Mathematics of Computation 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Asymptotic Analysis 1 Differential and Integral Equations 1 The Annals of Applied Probability 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Journal of Evolution Equations 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Tunisian Journal of Mathematics 1 Pure and Applied Analysis all top 5 Fields 35 Partial differential equations (35-XX) 14 Probability theory and stochastic processes (60-XX) 11 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 690 times in 489 Documents Cited by ▼ Year ▼ Scalar conservation laws with stochastic forcing. Zbl 1200.60050 Debussche, A.; Vovelle, J. 93 2010 Degenerate parabolic stochastic partial differential equations: quasilinear case. Zbl 1346.60094 Debussche, Arnaud; Hofmanová, Martina; Vovelle, Julien 59 2016 Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211 Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien 56 2007 Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123 Droniou, J.; Gallouët, T.; Vovelle, J. 55 2003 Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients. Zbl 1078.35011 Seguin, Nicolas; Vovelle, Julien 49 2003 Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038 Alibaud, Nathaël; Droniou, Jéromé; Vovelle, Julien 48 2007 Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients. Zbl 1102.35064 Bachmann, Florence; Vovelle, Julien 40 2006 Entropy formulation for parabolic degenerate equations with general Dirichlet boundary conditions and application to the convergence of FV methods. Zbl 1058.35127 Michel, Anthony; Vovelle, Julien 37 2003 Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains. Zbl 1007.65066 Vovelle, Julien 36 2002 Invariant measure of scalar first-order conservation laws with stochastic forcing. Zbl 1331.60117 Debussche, A.; Vovelle, J. 32 2015 A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications. Zbl 1085.35099 Imbert, C.; Vovelle, J. 24 2004 Regularity of stochastic kinetic equations. Zbl 1371.35372 Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien 22 2017 Error estimate for finite volume scheme. Zbl 1116.35089 Merlet, Benoît; Vovelle, Julien 18 2007 Diffusion limit for a stochastic kinetic problem. Zbl 1267.35022 Debussche, Arnaud; Vovelle, Julien 12 2012 Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. Zbl 1082.65112 Ohlberger, Mario; Vovelle, Julien 11 2006 \(L^1\) solutions to first order hyperbolic equations in bounded domains. Zbl 1027.35066 Porretta, Alessio; Vovelle, Julien 11 2003 Convergence of approximations to stochastic scalar conservation laws. Zbl 1397.65016 Dotti, Sylvain; Vovelle, Julien 10 2018 Stochastic isentropic Euler equations. Zbl 1470.60177 Berthelin, Florent; Vovelle, Julien 9 2019 Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function. Zbl 1155.65071 Martin, Sébastien; Vovelle, Julien 8 2008 A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux. Zbl 1207.35217 Berthelin, F.; Vovelle, J. 7 2010 Diffusion-approximation in stochastically forced kinetic equations. Zbl 1442.35286 Debussche, Arnaud; Vovelle, Julien 6 2021 Existence and regularity of extremal solutions for a mean-curvature equation. Zbl 1194.53010 Mellet, Antoine; Vovelle, Julien 6 2010 Long-time behavior in scalar conservation laws. Zbl 1240.35352 Debussche, A.; Vovelle, J. 5 2009 An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. Zbl 1053.35015 Droniou, J.; Imbert, C.; Vovelle, J. 5 2004 Diffusion limit for the radiative transfer equation perturbed by a Wiener process. Zbl 1333.35295 Debussche, Arnaud; De Moor, Sylvain; Vovelle, Julien 5 2015 Diffusion limit for the radiative transfer equation perturbed by a Markovian process. Zbl 1344.35148 Debussche, A.; De Moor, S.; Vovelle, J. 5 2016 On a phase field model for solid-liquid phase transitions. Zbl 1247.80011 Benzoni-Gavage, Sylvie; Chupin, Laurent; Jamet, Didier; Vovelle, Julien 3 2012 Limit boundary conditions for finite volume approximations of some physical problems. Zbl 1107.76361 Eymard, Robert; Gallouët, Thierry; Vovelle, Jullien 3 2003 Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients. Zbl 1059.65514 Seguin, Nicolas; Vovelle, Julien 3 2002 Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process. Zbl 1476.35345 Caillerie, Nils; Vovelle, Julien 3 2021 Convergence of the finite volume method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation. Zbl 1446.65089 Dotti, Sylvain; Vovelle, Julien 3 2020 Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions. Zbl 1142.35512 Martin, S.; Vovelle, J. 2 2007 Diffusion-approximation for a kinetic spray-like system with random forcing. Zbl 1487.60121 Debussche, Arnaud; Rosello, Angelo; Vovelle, Julien 2 2021 Invariant measures for a stochastic Fokker-Planck equation. Zbl 1405.60089 De Moor, Sylvain; Rodrigues, Luis Miguel; Vovelle, Julien 2 2018 Diffusion-approximation in stochastically forced kinetic equations. Zbl 1442.35286 Debussche, Arnaud; Vovelle, Julien 6 2021 Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process. Zbl 1476.35345 Caillerie, Nils; Vovelle, Julien 3 2021 Diffusion-approximation for a kinetic spray-like system with random forcing. Zbl 1487.60121 Debussche, Arnaud; Rosello, Angelo; Vovelle, Julien 2 2021 Convergence of the finite volume method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation. Zbl 1446.65089 Dotti, Sylvain; Vovelle, Julien 3 2020 Stochastic isentropic Euler equations. Zbl 1470.60177 Berthelin, Florent; Vovelle, Julien 9 2019 Convergence of approximations to stochastic scalar conservation laws. Zbl 1397.65016 Dotti, Sylvain; Vovelle, Julien 10 2018 Invariant measures for a stochastic Fokker-Planck equation. Zbl 1405.60089 De Moor, Sylvain; Rodrigues, Luis Miguel; Vovelle, Julien 2 2018 Regularity of stochastic kinetic equations. Zbl 1371.35372 Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien 22 2017 Degenerate parabolic stochastic partial differential equations: quasilinear case. Zbl 1346.60094 Debussche, Arnaud; Hofmanová, Martina; Vovelle, Julien 59 2016 Diffusion limit for the radiative transfer equation perturbed by a Markovian process. Zbl 1344.35148 Debussche, A.; De Moor, S.; Vovelle, J. 5 2016 Invariant measure of scalar first-order conservation laws with stochastic forcing. Zbl 1331.60117 Debussche, A.; Vovelle, J. 32 2015 Diffusion limit for the radiative transfer equation perturbed by a Wiener process. Zbl 1333.35295 Debussche, Arnaud; De Moor, Sylvain; Vovelle, Julien 5 2015 Diffusion limit for a stochastic kinetic problem. Zbl 1267.35022 Debussche, Arnaud; Vovelle, Julien 12 2012 On a phase field model for solid-liquid phase transitions. Zbl 1247.80011 Benzoni-Gavage, Sylvie; Chupin, Laurent; Jamet, Didier; Vovelle, Julien 3 2012 Scalar conservation laws with stochastic forcing. Zbl 1200.60050 Debussche, A.; Vovelle, J. 93 2010 A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux. Zbl 1207.35217 Berthelin, F.; Vovelle, J. 7 2010 Existence and regularity of extremal solutions for a mean-curvature equation. Zbl 1194.53010 Mellet, Antoine; Vovelle, Julien 6 2010 Long-time behavior in scalar conservation laws. Zbl 1240.35352 Debussche, A.; Vovelle, J. 5 2009 Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function. Zbl 1155.65071 Martin, Sébastien; Vovelle, Julien 8 2008 Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211 Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien 56 2007 Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038 Alibaud, Nathaël; Droniou, Jéromé; Vovelle, Julien 48 2007 Error estimate for finite volume scheme. Zbl 1116.35089 Merlet, Benoît; Vovelle, Julien 18 2007 Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions. Zbl 1142.35512 Martin, S.; Vovelle, J. 2 2007 Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients. Zbl 1102.35064 Bachmann, Florence; Vovelle, Julien 40 2006 Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. Zbl 1082.65112 Ohlberger, Mario; Vovelle, Julien 11 2006 A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications. Zbl 1085.35099 Imbert, C.; Vovelle, J. 24 2004 An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. Zbl 1053.35015 Droniou, J.; Imbert, C.; Vovelle, J. 5 2004 Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123 Droniou, J.; Gallouët, T.; Vovelle, J. 55 2003 Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients. Zbl 1078.35011 Seguin, Nicolas; Vovelle, Julien 49 2003 Entropy formulation for parabolic degenerate equations with general Dirichlet boundary conditions and application to the convergence of FV methods. Zbl 1058.35127 Michel, Anthony; Vovelle, Julien 37 2003 \(L^1\) solutions to first order hyperbolic equations in bounded domains. Zbl 1027.35066 Porretta, Alessio; Vovelle, Julien 11 2003 Limit boundary conditions for finite volume approximations of some physical problems. Zbl 1107.76361 Eymard, Robert; Gallouët, Thierry; Vovelle, Jullien 3 2003 Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains. Zbl 1007.65066 Vovelle, Julien 36 2002 Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients. Zbl 1059.65514 Seguin, Nicolas; Vovelle, Julien 3 2002 all cited Publications top 5 cited Publications all top 5 Cited by 572 Authors 30 Karlsen, Kenneth Hvistendahl 19 Andreianov, Boris 18 Vovelle, Julien 13 Tang, Bao Quoc 12 Fellner, Klemens 12 Hofmanová, Martina 11 Bürger, Raimund 10 Gess, Benjamin 10 Pierre, Michel 9 Risebro, Nils Henrik 9 Vallet, Guy 8 Bauzet, Caroline 8 Frid, Hermano 8 Li, Yachun 8 Seguin, Nicolas 8 Zhan, Huashui 8 Zhang, Rangrang 7 Debussche, Arnaud 7 Lv, Guangying 7 Perthame, Benoît 7 Souganidis, Panagiotis E. 6 Cancès, Clément 6 Desvillettes, Laurent 6 Jakobsen, Espen Robstad 6 Jüngel, Ansgar 6 Koley, Ujjwal 6 Majee, Ananta K. 6 Marroquin, Daniel R. 6 Morgan, Jeff J. 6 Rossi, Elena 6 Towers, John D. 6 Wittbold, Petra 5 Alibaud, Nathaël 5 Bendahmane, Mostafa 5 Biswas, Imran H. 5 Chaudru De Raynal, Paul-Eric 5 Fischer, Julian 5 Gallouët, Thierry 5 Goudon, Thierry 5 Laamri, El Haj 5 Lagoutière, Frédéric 5 Menozzi, Stéphane 5 Pang, Peter H. C. 5 Suzuki, Takashi 5 Wang, Weike 5 Wu, Jianglun 5 Xie, Longjie 5 Zhang, Tusheng S. 5 Zhang, Xicheng 5 Zimmermann, Aleksandra 4 Ammar, Kaouther 4 Chen, Gui-Qiang G. 4 Cifani, Simone 4 Colombo, Rinaldo M. 4 De Moor, Sylvain 4 Dong, Zhao 4 Droniou, Jérôme 4 Duan, Jinqiao 4 Feng, Zhaosheng 4 Gao, Hongjun 4 Goatin, Paola 4 Hérard, Jean-Marc 4 Holden, Helge 4 Imbert, Cyril 4 Kobayasi, Kazuo 4 LeFloch, Philippe Gerard 4 Lions, Pierre-Louis 4 Mishra, Siddhartha 4 Mitrovic, Darko 4 Noboriguchi, Dai 4 Wei, Jinlong 3 Bouche, Daniel P. 3 Boutin, Benjamin 3 Breit, Dominic 3 Chalons, Christophe 3 Charrier, Julia 3 Coquel, Frédéric 3 Dareiotis, Konstantinos Anastasios 3 Delarue, François 3 Dhariwal, Gaurav 3 Dotti, Sylvain 3 Ghidaglia, Jean-Michel 3 Kühn, Christian 3 Labbé, Cyril 3 Martin, Sébastien 3 Nariyoshi, João F. C. 3 Neamţu, Alexandra 3 Ohlberger, Mario 3 Pascal, Frédéric P. 3 Raviart, Pierre-Arnaud 3 Rosini, Massimiliano Daniele 3 Schneider, Kai 3 Shen, Chun 3 Shen, Wen 3 Silvestre, Luis E. 3 Smith, Scott A. 3 Storrøsten, Erlend Briseid 3 Sun, Meina 3 Zeng, Zirong 3 Zhu, Xiang-Chan ...and 472 more Authors all top 5 Cited in 146 Serials 40 Journal of Differential Equations 17 SIAM Journal on Mathematical Analysis 17 Journal of Hyperbolic Differential Equations 15 Archive for Rational Mechanics and Analysis 15 Stochastic Processes and their Applications 15 Stochastic and Partial Differential Equations. Analysis and Computations 14 Journal of Mathematical Analysis and Applications 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Journal of Evolution Equations 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Mathematics of Computation 9 Journal of Functional Analysis 9 Numerische Mathematik 8 Journal of Computational Physics 8 Transactions of the American Mathematical Society 8 Discrete and Continuous Dynamical Systems 7 The Annals of Probability 7 Networks and Heterogeneous Media 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Communications in Partial Differential Equations 6 NoDEA. Nonlinear Differential Equations and Applications 5 Communications in Mathematical Physics 5 SIAM Journal on Numerical Analysis 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Potential Analysis 5 Discrete and Continuous Dynamical Systems. Series B 5 Kinetic and Related Models 4 Journal of Engineering Mathematics 4 Journal of Statistical Physics 4 Nonlinearity 4 Chinese Annals of Mathematics. Series B 4 Applied Numerical Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Electronic Journal of Probability 4 Nonlinear Analysis. Real World Applications 3 Computers & Mathematics with Applications 3 Journal of Computational and Applied Mathematics 3 Quarterly of Applied Mathematics 3 Probability Theory and Related Fields 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 The Annals of Applied Probability 3 Journal of Nonlinear Science 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 2 Computers and Fluids 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 BIT 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Stochastic Analysis and Applications 2 Acta Applicandae Mathematicae 2 Physica D 2 Numerical Methods for Partial Differential Equations 2 Mathematical and Computer Modelling 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Bulletin des Sciences Mathématiques 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computational Geosciences 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Analysis & PDE 2 International Journal of Differential Equations 2 Probability Surveys 2 International Journal on Finite Volumes 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Bulletin of Mathematical Biology 1 Acta Mathematica Vietnamica 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations ...and 46 more Serials all top 5 Cited in 35 Fields 428 Partial differential equations (35-XX) 157 Probability theory and stochastic processes (60-XX) 102 Numerical analysis (65-XX) 83 Fluid mechanics (76-XX) 33 Biology and other natural sciences (92-XX) 27 Statistical mechanics, structure of matter (82-XX) 15 Real functions (26-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Operations research, mathematical programming (90-XX) 12 Operator theory (47-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Geophysics (86-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 4 Astronomy and astrophysics (85-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year