Pressureless gas equations with viscosity and nonlinear diffusion
2001 (English)In: Comptes rendus de l'Académie des sciences. Série 1, Mathématique, ISSN 0764-4442, Vol. 332, no 8, 745-750 p.Article in journal (Refereed) Published
Under some regularity conditions on P-0 and u(0), we derive a unique local strong solution of the following system of pressureless gas equations with viscosity: [GRAPHICS] P-t-->P-0, uP(t) --> u(0)P(0), weakly, as t --> 0(+), by constructing a nonlinear diffusion process as solution to the following SDE: [GRAPHICS] We show then that Pt is the probability density of X-t while the velocity field admits the Following stochastic representation: u(t,X) = E [u(0)(X-0) \ X-t = x].
Place, publisher, year, edition, pages
2001. Vol. 332, no 8, 745-750 p.
IdentifiersURN: urn:nbn:se:kth:diva-20694ISI: 000169144200013OAI: oai:DiVA.org:kth-20694DiVA: diva2:339390
QC 201005252010-08-102010-08-10Bibliographically approved