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Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3

Authors

Fernández-Cara E. , Límaco J. , MARÍN GAYTE, IRENE

External publication

Si

Means

J Franklin Inst

Scope

Article

Nature

Científica

JCR Quartile

✓

SJR Quartile

✓

JCR Impact

4.246

SJR Impact

1.238

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85100996806&doi=10.1016%2fj.jfranklin.2021.01.031&partnerID=40&md5=63a6507b15b1bd03feae129f19bb09bd

Publication date

01/01/2021

Scopus Id

2-s2.0-85100996806

DOI

10.1016/j.jfranklin.2021.01.031

Abstract

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. © 2021 The Franklin Institute

Keywords

Iterative methods; Partial differential equations; Convergence results; Inverse functions; Iterative algorithm; Local controllability; Null control; Null controllability; Numerical experiments; Quasi-linear parabolic equations; Controllability

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