| Title | 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 | 1 |
| SJR Quartile | 1 |
| 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 |
| Universidad Loyola members |