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Null controllability of a degenerated reaction–diffusion system in cardiac electro-physiology
- Source :
-
Comptes Rendus. Mathématique . Jun2012, Vol. 350 Issue 11/12, p587-590. 4p. - Publication Year :
- 2012
-
Abstract
- Abstract: This Note is devoted to the analysis of the null controllability of a nonlinear reaction–diffusion system, approximating a parabolic–elliptic system, modeling electrical activity in the heart. The uniform, with respect to the degenerating parameter, null controllability of the approximating system by a single control force acting on a subdomain is shown. The proof needs a precise estimate with respect to the degenerating parameter and it is done combining Carleman estimates and energy inequalities. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 1631073X
- Volume :
- 350
- Issue :
- 11/12
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 78280100
- Full Text :
- https://doi.org/10.1016/j.crma.2012.06.006