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AuthorTitleYearJournal/ProceedingsReftypeDOI/URL
Guelmame, B. and Vovelle, J. Global dissipative martingale solutions to the variational wave equation with stochastic forcing 2023   unpublished URL 
Leocata, M. and Vovelle, J. Supremum estimates for parabolic stochastic partial differential equations 2023   unpublished URL 
Leocata, M. and Vovelle, J. Global solutions to quadratic systems of stochastic reaction-diffusion equations in space-dimension two 2023   unpublished URL 
Briant, M., Debussche, A. and Vovelle, J. The Boltzmann equation with an external force on the torus: incompressible Navier-Stokes-Fourier hydrodynamical limit 2022 Pure Appl. Anal.
Vol. 4(4), pp. 597-628 
article DOI URL 
Caillerie, N. and Vovelle, J. Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process 2021 Ann. Appl. Probab.
Vol. 31(3), pp. 1299-1335 
article DOI URL 
Debussche, A., Rosello, A. and Vovelle, J. Diffusion-approximation for a kinetic spray-like system with random forcing 2021 Discrete Contin. Dyn. Syst. Ser. S
Vol. 14(8), pp. 2751-2803 
article DOI URL 
Debussche, A. and Vovelle, J. Diffusion-approximation in stochastically forced kinetic equations 2021 Tunis. J. Math.
Vol. 3(1), pp. 1-53 
article DOI URL 
Dotti, S. and Vovelle, J. Convergence of the finite volume method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation 2020 Stoch. Partial Differ. Equ. Anal. Comput.
Vol. 8(2), pp. 265-310 
article DOI URL 
Berthelin, F. and Vovelle, J. Stochastic isentropic Euler equations 2019 Ann. Sci. Éc. Norm. Supér. (4)
Vol. 52(1), pp. 181-254 
article URL 
De Moor, S., Rodrigues, L.M. and Vovelle, J. Invariant measures for a stochastic Fokker-Planck equation 2018 Kinet. Relat. Models
Vol. 11(2), pp. 357-395 
article URL 
Dotti, S. and Vovelle, J. Convergence of approximations to stochastic scalar conservation laws 2018 Arch. Ration. Mech. Anal.
Vol. 230(2), pp. 539-591 
article URL 
Fedrizzi, E., Flandoli, F., Priola, E. and Vovelle, J. Regularity of stochastic kinetic equations 2017 Electron. J. Probab.
Vol. 22, pp. Paper No. 48, 42 
article URL 
Debussche, A., De Moor, S. and Vovelle, J. Diffusion limit for the radiative transfer equation perturbed by a Markovian process 2016 Asymptot. Anal.
Vol. 98(1-2), pp. 31-58 
article URL 
Debussche, A., Hofmanová, M. and Vovelle, J. Degenerate parabolic stochastic partial differential equations: quasilinear case 2016 Ann. Probab.
Vol. 44(3), pp. 1916-1955 
article URL 
Debussche, A., De Moor, S. and Vovelle, J. Diffusion limit for the radiative transfer equation perturbed by a Wiener process 2015 Kinet. Relat. Models
Vol. 8(3), pp. 467-492 
article URL 
Debussche, A. and Vovelle, J. Invariant measure of scalar first-order conservation laws with stochastic forcing 2015 Probab. Theory Related Fields
Vol. 163(3-4), pp. 575-611 
article URL 
Debussche, A. and Vovelle, J. Scalar conservation laws with stochastic forcing (revised version) 2013 http://math.univ-lyon1.fr/ vovelle/DebusscheVovelleRevised.pdf  article  
Benzoni, S., Chupin, L., Jamet, D. and Vovelle, J. On a phase field model for solid-liquid phase transitions 2012 Discrete Contin. Dyn. Syst.
Vol. 32(6), pp. 1997-2025 
article URL 
Debussche, A. and Vovelle, J. Diffusion limit for a stochastic kinetic problem 2012 Commun. Pure Appl. Anal
Vol. 11(6), pp. 2305-2326 
article  
Pierre, M. and Vovelle, J. A kinetic approach in nonlinear parabolic problems with Lsp 1-data 2012 Z. Anal. Anwend.
Vol. 31(3), pp. 307-334 
article  
Berthelin, F. and Vovelle, J. A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux 2010 Proc. Roy. Soc. Edinburgh Sect. A
Vol. 140(5), pp. 953-972 
article URL 
Debussche, A. and Vovelle, J. Scalar conservation laws with stochastic forcing 2010 J. Funct. Anal.
Vol. 259(4), pp. 1014-1042 
article  
Mellet, A. and Vovelle, J. Existence and regularity of extremal solutions for a mean-curvature equation 2010 J. Differential Equations
Vol. 249(1), pp. 37-75 
article URL 
Debussche, A. and Vovelle, J. Long-time behavior in scalar conservation laws 2009 Differential Integral Equations
Vol. 22(3-4), pp. 225-238 
article URL 
Martin, S. and Vovelle, J. Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function 2008 M2AN Math. Model. Numer. Anal.
Vol. 42(5), pp. 699-727 
article  
Alibaud, N., Droniou, J. and Vovelle, J. Occurence and non-appearance of shocks in fractal Burgers equations 2007 JHDE
Vol. 4(3), pp. 479-499 
article  
Desvillettes, L., Fellner, K., Pierre, M. and Vovelle, J. Global existence for quadratic systems of reaction-diffusion 2007 Adv. Nonlinear Stud.
Vol. 7(3), pp. 491-511 
article  
Martin, S. and Vovelle, J. Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions 2007 Quart. Appl. Math.
Vol. 65(3), pp. 425-450 
article  
Merlet, B. and Vovelle, J. Error estimate for the Finite Volume Scheme applied to the advection equation 2007 Num. Math.
Vol. 106(1), pp. 129-155 
article URL 
Bachmann, F. and Vovelle, J. Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients 2006 Comm. Partial Differential Equations
Vol. 31(1-3), pp. 371-395 
article  
Ohlberger, M. and Vovelle, J. Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method 2006 Math. Comp.
Vol. 75(253), pp. 113-150 (electronic) 
article  
Droniou, J., Imbert, C. and Vovelle, J. An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions 2004 Ann. Inst. H. Poincaré Anal. Non Linéaire
Vol. 21(5), pp. 689-714 
article  
Imbert, C. and Vovelle, J. A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications 2004 SIAM J. Math. Anal.
Vol. 36(1), pp. 214-232 (electronic) 
article  
Droniou, J., Gallouet, T. and Vovelle, J. Global solution and smoothing effect for a non-local regularization of a hyperbolic equation 2003 J. Evol. Equ.
Vol. 3(3), pp. 499-521 
article  
Eymard, R., Gallouët, T. and Vovelle, J. Limit boundary conditions for finite volume approximations of some physical problems 2003 J. Comput. Appl. Math.
Vol. 161(2), pp. 349-369 
article  
Michel, A. and Vovelle, J. Entropy formulation for parabolic degenerate equations with general Dirichlet boundary conditions and application to the convergence of FV methods 2003 SIAM J. Numer. Anal.
Vol. 41(6), pp. 2262-2293 (electronic) 
article  
Porretta, A. and Vovelle, J. Lsp 1 solutions to first order hyperbolic equations in bounded domains 2003 Comm. Partial Differential Equations
Vol. 28(1-2), pp. 381-408 
article  
Seguin, N. and Vovelle, J. Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients 2003 Math. Models Methods Appl. Sci.
Vol. 13(2), pp. 221-257 
article  
Seguin, N. and Vovelle, J. Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients 2002 Finite volumes for complex applications, III (Porquerolles, 2002), pp. 415-422 (electronic)  incollection  
Vovelle, J. Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains 2002 Num. Math.
Vol. 90(3), pp. 563-596 
article