Article
Existence and regularity of the pressure for the stochastic Navier-Stokes equations
Author/s | Langa Rosado, José Antonio
![]() ![]() ![]() ![]() ![]() ![]() ![]() Real Anguas, José Simon, Jacques |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2003-10 |
Deposit Date | 2016-10-07 |
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Abstract | We prove, on one hand, that for a convenient body force with values in the distribution space (H−1(D))d, where D is the geometric domain of the fluid, there exist a velocity u and a pressure p solution of the stochastic ... We prove, on one hand, that for a convenient body force with values in the distribution space (H−1(D))d, where D is the geometric domain of the fluid, there exist a velocity u and a pressure p solution of the stochastic Navier-Stokes equation in dimension 2, 3 or 4. On the other hand, we prove that, for a body force with values in the dual space V0 of the divergence free subspace V of (H1 0(D))d, in general it is not possible to solve the stochastic Navier-Stokes equations. More precisely, although such body forces have been considered, there is no topological space in which Navier-Stokes equations could be meaningful for them. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | BFM2002-03068
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Citation | Langa Rosado, J.A., Real Anguas, J. y Simon, J. (2003). Existence and regularity of the pressure for the stochastic Navier-Stokes equations. Applied Mathematics and Optimization, 48 (3), 195-210. |
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