Article
Exponential stability of an 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 | 2018-12 |
Deposit Date | 2019-09-05 |
Published in |
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Abstract | The existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The exponential stability of
steady-state solutions is then analyzed by means of four different approaches. ... The existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The exponential stability of steady-state solutions is then analyzed by means of four different approaches. The first is the classical Lyapunov function method, while the second one is based on a Razumikhin type argument. Then, a method relying on the construction of Lyapunov functionals and another one using a Gronwall-like lemma are also exploited to study the stability, respectively. Some comments concerning several open research directions about this model are also included. |
Project ID. | MTM2015-63723-P
![]() P12-FQM-1492 ![]() 11671142 ![]() 11371087 ![]() 13dz2260400 ![]() B407 ![]() |
Citation | Liu, L., Caraballo Garrido, T. y Fu, X. (2018). Exponential stability of an incompressible non-Newtonian fluid with delay. Discrete and Continuous Dynamical Systems - Series B, 23 (10), 4285-4303. |
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