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2011
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21. On a phase field model for solid-liquid phase transitions, To appear in Discrete and Continuous Dynamical System-A, S. Benzoni-Gavage, L. Chupin, D. Jamet, J. Vovelle
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20. Diffusion limit for a stochastic kinetic problem, To appear in Communications on Pure and Applied Analysis, A. Debussche, J. Vovelle
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2010
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19. Existence and regularity of extremal solutions for a mean-curvature equation, J. Differential Equations 249 (2010), 37-75,
A. Mellet, J. Vovelle
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18. Scalar conservation laws with stochastic forcing, J. Funct.
Anal. (2010), doi:10.1016/j.jfa.2010.02.016, A. Debussche, J. Vovelle
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17. A BGK approximation to scalar
conservation laws with discontinuous flux, To appear in Proceedings A of the Royal Society of Edinburgh, F. Berthelin, J. Vovelle
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2009
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16. Long-time behavior in scalar conservation laws, Differential and Integral Equations, 22 (2009), no. 3-4, 225-238, A. Debussche, J. Vovelle
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2008
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15. Convergence of the Finite Volume Method for scalar conservation laws with discontinuous flux function, M2AN Math. Model. Numer. Anal. 42 (2008), no. 5, 699--727, S. Martin, J. Vovelle
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2007
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14. About Global Existence for Quadratic Systems of Reaction-Diffusion, Advanced Nonlinear Studies, 7 (2007), no. 3, 491--511, L. Desvillettes, K. Fellner, M. Pierre, J. Vovelle
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13. Large-time behaviour of the entropy
solution of a scalar conservation law with boundary conditions, Quart. J. of Mech. and Appl. Maths., 65 (2007), no. 3, 425--450, S. Martin, J. Vovelle
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12. Occurence and non-appearance of shocks in fractal Burgers equations, Journal of Hyperbolic Differential Equations, 4 (2007), no. 3, 479--499, N. Alibaud, J. Droniou, J. Vovelle
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11. Error estimate for the finite volume
scheme applied to the advection equation, Numerische Mathematik 106 (2007), no. 1, 129--155, B. Merlet, J. Vovelle
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2006
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10. Existence and uniqueness of entropy solution
of scalar conservation laws with a flux function involving discontinuous
coefficients, Comm. Partial Differential Equations, 31 (2006),
pp.~371--395, F. Bachmann, J. Vovelle |
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9. Error estimates for the approximation of
non-linear conservation laws on bounded domains by the finite
volume method, Math. Comp., 75 (2006), pp.~113--150, M. Ohlberger, J. Vovelle |
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2004
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8. An error estimate for the parabolic approximation of
multidimensional scalar conservation laws with boundary,
Ann. Inst. H. Poincaré Anal. Non Linéaire
21 (2004), no.~5, 689--714, J. Droniou, C. Imbert, J. Vovelle |
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7. Kinetic formulation for multidimensional scalar conservation laws
with boundary conditions and applications,
SIAM J.
Math. Anal. 36 (2004), no.~1, 214--232, C. Imbert, J. Vovelle |
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2003
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6. Limit boundary conditions for finite volume approximations of some
physical problems, Journal of Computational and Applied Mathematics
(2003), Vol 161, pp 349-369, R. Eymard, T. Gallouet, J. Vovelle |
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5. Global solution and smoothing effect for a non-local regularization of an
hyperbolic equation, Journal of Evolution
Equations, Vol. P. Bénilan (2003) vol 3, no 3, pp 499-521, J. Droniou, T. Gallouet, J. Vovelle |
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4. Entropy Formulation for Parabolic Degenerate
Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV
Methods , SIAM Journal of numerical analysis, (2003), vol 41, no 6, pp 2262-2293, A. Michel, J. Vovelle |
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3. Analysis and approximation of a scalar conservation law with a flux
function with discontinuous coefficient,
M3AS, 13 (2003), no 2, pp 221-257, N. Seguin, J. Vovelle |
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2. L1 solutions to first order hyperbolic
equations in bounded domains, CPDE, 28 (2003), 1&2, pp 381-408, A. Porretta, J. Vovelle |
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2002
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1. Convergence of Finite Volume Scheme
for Conservation Law on Bounded Domain, Numerische Mathematik 90 (2002),
no. 3, 563-596. J. Vovelle |
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