Artículo
Attractors for The Stochastic 3D Navier-Stokes Equations
Autor/es | Marín Rubio, Pedro
Robinson, James C. |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2003 |
Fecha de depósito | 2015-06-23 |
Publicado en |
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Resumen | In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not known to possess) the property of uniqueness. In particular he used this to show that the 3D Navier–Stokes ... In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not known to possess) the property of uniqueness. In particular he used this to show that the 3D Navier–Stokes equations have a global attractor provided that all weak solutions are continuous from (0, ∞) into L2. In this paper we adapt his framework to treat stochastic equations: we introduce a notion of a stochastic generalised semiflow, and then show a similar result to Ball's concerning the attractor of the stochastic 3D Navier–Stokes equations with additive white noise. |
Cita | Marín Rubio, P. y Robinson, J.C. (2003). Attractors for The Stochastic 3D Navier-Stokes Equations. Stochastics and Dynamics, 3 (3), 279-297. |
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