Article
Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay
Author/s | Liu, Linfang
Caraballo Garrido, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() Fu, Xianlong |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017 |
Deposit Date | 2018-09-12 |
Published in |
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Abstract | We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method. Actually, we also ... We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method. Actually, we also prove the uniqueness of solution as well as the continuous dependence on the initial value. Then we analyze the long time behavior of the dynamical system associated to the incompressible non-Newtonian fluid. Finally, we establish the existence of pullback attractors for the non-autonomous dynamical system associated to the problem. |
Project ID. | MTM2015-63723-P
![]() P12-FQM1492 ![]() 11671142 ![]() 11371087 ![]() 13dz2260400 ![]() B407 ![]() |
Citation | Liu, L., Caraballo Garrido, T. y Fu, X. (2017). Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay. Dynamics of Partial Differential Equations, 14 (4), 375-402. |
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