Nonexistence of Higher Dimensional Stable Turing Patterns in the Singular Limit

DOI10.1137/S0036141096313239zbMath0921.35014OpenAlexW2024691696MaRDI QIDQ4210234

Yasumasa Nishiura, Hiromasa Suzuki

Publication date: 21 September 1998

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

Full work available at URL: https://doi.org/10.1137/s0036141096313239

zbMATH Keywords

matched asymptotic expansioninterfacial patternstable stationary internal layered solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Free boundary problems for PDEs (35R35)

Related Items (5)

Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots ⋮ Standing pulse solutions for the FitzHugh-Nagumo equations ⋮ ON ISOCONCENTRATION SURFACES OF THREE-DIMENSIONAL TURING PATTERNS ⋮ Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion system ⋮ On stable nonconstant stationary solutions and mesoscopic patterns for FitzHugh-Nagumo equations in higher dimensions.

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