Exponential stability of an incompressible non-Newtonian fluid with delay
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 i...
| Autores: | , , |
|---|---|
| Tipo de documento: | artigo |
| Estado: | Versión enviada para evaluación y publicación |
| Data de publicação: | 2018 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/88961 |
| Acesso em linha: | https://hdl.handle.net/11441/88961 https://doi.org/10.3934/dcdsb.2018138 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Exponential stability Stationary solution Non-Newtonian fluids Delay |
| Resumo: | 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. |
|---|