Work

Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model

Year: 2011

Type: preprint

Abstract: This paper is devoted to the analysis of the uniform null controllability for a family of nonlinear reaction-diffusion systems approximating a parabolic-elliptic system which models the electrical activity of the heart. The uniform, with respect to the degenerating parameter, null controllability of the approximating system by means of a single control is shown. The proof is based on the combination of Carleman estimates and weighted energy inequalities.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1106.1788

Authors: Bendahmane, Mostafa, Chaves-Silva, Felipe Wallison

Institutions: Centre National de la Recherche Scientifique, Laboratoire Jean-Alexandre Dieudonné, Université Nice Sophia Antipolis, Institut de Mathématiques de Bordeaux, Université Bordeaux Segalen

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Eusko Jaurlaritza, Ministerio de Ciencia e Innovación, Basque Center for Applied Mathematics, European Social Fund

OpenAlex ID: W2951095545

Cites: 17

Cited by: 2

Related to: 20