Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3
This paper is devoted to the theoretical and numerical analysis of the null controllability of a quasi-linear parabolic equation. First, we establish a local controllability result. The proof relies on an appropriate inverse function argument. Then, we formulate an iterative algorithm for the comput...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/167725 |
| Acesso em linha: | https://hdl.handle.net/11441/167725 https://doi.org/10.1016/j.jfranklin.2021.01.031 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Quasi-linear parabolic PDEs Null controllability Iterative algorithms for control problems |
| Resumo: | This paper is devoted to the theoretical and numerical analysis of the null controllability of a quasi-linear parabolic equation. First, we establish a local controllability result. The proof relies on an appropriate inverse function argument. Then, we formulate an iterative algorithm for the computation of the null control and we prove a convergence result. Finally, we illustrate the analysis with some numerical experiments. |
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