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arXiv · 1106.1788

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

Mostafa Bendahmane·Felipe Wallison Chaves-Silva
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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.

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Mostafa Bendahmane, Felipe Wallison Chaves-Silva. 2011-06-09. Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model. https://arxiv.org/abs/1106.1788

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