Non null controllability of Stokes equations with memory

In this paper, we consider the null controllability problem for the Stokes equations with a memory term. For any positive final time T > 0, we construct initial conditions such that the null controllability does not hold even if the controls act on the whole boundary. We also prove that this nega...

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Detalles Bibliográficos
Autores: Fernández Cara, Enrique, F. Machado, José Lucas, Araujo de Souza, Diego
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/139216
Acceso en línea:https://hdl.handle.net/11441/139216
https://doi.org/10.1051/cocv/2019067
Access Level:acceso abierto
Palabra clave:Stokes equations with memory
lack of null controllability
observability inequality
Descripción
Sumario:In this paper, we consider the null controllability problem for the Stokes equations with a memory term. For any positive final time T > 0, we construct initial conditions such that the null controllability does not hold even if the controls act on the whole boundary. We also prove that this negative result holds for distributed controls.