Propagation of chaos for pressureless gas equations with viscosity;Propagation du chaos pour un système de gaz sans pressions avec viscosité

Comptes Rendus Mathematique

Volumn 335, Issue 11, 2002, Pages 935-940

  Dermoune, Azzouz ^a  

^a UNIV LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038729473     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02602-X     Document Type: Article

References (8)

1. M.T. Barlow, M. Yor, Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times, J. Funct. Anal. 49 (1982) 198-229.
2. A. Dermoune, B. Djehiche, Global solution of pressureless gas equation with viscosity, Phys. D 163 (2002) 184-190.
3. A. Dermoune, B. Djehiche, Pressureless gas equations with viscosity and nonlinear diffusion, C. R. Acad. Sci. Paris, Série I 332 (2001) 741-750.
4. K. Oelshläger, A law of large numbers for moderately interacting diffusion processes, Z. Wahrscheinlichkeitstheor. Verw. Gebiete 69 (1985) 279-322.
5. D.W. Stroock, S.R.S. Varadhan, Mutidimensional Diffusion Processes, Springer, New York, 1979.
6. A.S. Sznitman, A propagation of chaos results for Burgers' equation, Probab. Theory Related. Fields 71 (1986) 581-613.
7. A.S. Sznitman, Topics in propagation of chaos, École d'Été de Probabilités de Saint-Flours XIX, 1989.
8. A.S. Sznitman, Equations de type Boltzmann spatialement homogènes, Z. Wahrscheinlichkeitstheor. Verw. Gebiete 66 (1984) 559-592.