Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology

DOI10.1016/j.crma.2012.06.006zbMath1246.93018OpenAlexW2164798275MaRDI QIDQ447884

Mostafa Bendahmane, Felipe Wallison Chaves-Silva

Publication date: 30 August 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.06.006

zbMATH Keywords

Carleman estimatesnull controllabilityenergy inequalities.nonlinear reaction--diffusion systemparabolic--elliptic system

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Classical flows, reactions, etc. in chemistry (92E20) Series solutions to PDEs (35C10) PDEs in connection with control and optimization (35Q93)

Related Items (3)

Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model ⋮ Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology ⋮ Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control

Cites Work

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• Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology
• Null and approximate controllability for weakly blowing up semilinear heat equations
• Null-controllability of some reaction-diffusion systems with one control force
• Singular Optimal Control for a Transport-Diffusion Equation
• Null Controllability of Some Systems of Two Parabolic Equations with One Control Force
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points

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