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Pressureless gas equations with viscosity and nonlinear diffusion
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-6608-0715
2001 (English)In: Comptes rendus de l'Académie des sciences. Série 1, Mathématique, ISSN 0764-4442, E-ISSN 1778-3577, Vol. 332, no 8, 745-750 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
probabilistic-interpretation
Identifiers
URN: urn:nbn:se:kth:diva-20694ISI: 000169144200013OAI: oai:DiVA.org:kth-20694DiVA: diva2:339390
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Djehiche, Boualem

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