Artículo
Exponential stability of an incompressible non-Newtonian fluid with delay
Autor/es | Liu, Linfang
Caraballo Garrido, Tomás Fu, Xianlong |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2018-12 |
Fecha de depósito | 2019-09-05 |
Publicado en |
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Resumen | 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. |
Identificador del proyecto | MTM2015-63723-P
P12-FQM-1492 11671142 11371087 13dz2260400 B407 |
Cita | 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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