Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix

DOI10.1137/21M1455917zbMath1502.35064arXiv2110.14851OpenAlexW3208154167MaRDI QIDQ5092877

Stephanie Dodson, Björn Sandstede

Publication date: 26 July 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14851

zbMATH Keywords

continuous spectrumreaction-diffusion systemrank-deficient diffusion matrix

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) Second-order parabolic systems (35K40) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36)

Cites Work

• Unnamed Item
• Unnamed Item
• Absolute and convective instabilities of waves on unbounded and large bounded domains
• Spectral and dynamical stability of nonlinear waves
• Computing absolute and essential spectra using continuation
• Spiral breakup in model equations of action potential propagation in cardiac tissue
• Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation
• Computation of Spiral Spectra

This page was built for publication: Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix