Stability of Front Solutions of the Bidomain Equation

DOI10.1002/cpa.21634zbMath1354.35171OpenAlexW2313608470MaRDI QIDQ2834861

Hiroshi Matano, Yoichiro Mori

Publication date: 24 November 2016

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.21634

zbMATH Keywords

bidomain Allen-Cahn equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Biophysics (92C05) Physiology (general) (92C30)

Related Items (9)

Asymptotic Behavior of Fronts and Pulses of the Bidomain Model ⋮ On the bidomain problem with FitzHugh-Nagumo transport ⋮ On a resolvent estimate for bidomain operators and its applications ⋮ On the bidomain equations driven by stochastic forces ⋮ Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip ⋮ Bounded \(H^\infty\)-calculus for a class of nonlocal operators: the bidomain operator in the \(L_q\)-setting ⋮ The periodic version of the Da Prato-Grisvard theorem and applications to the bidomain equations with FitzHugh-Nagumo transport ⋮ Strong time-periodic solutions to the bidomain equations with arbitrary large forces ⋮ The mathematics of mechanobiology and cell signaling. Abstracts from the workshop held February 25--March 3, 2018

Cites Work

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