Some results on the Gierer-Meinhardt model with critical exponent \(p - 1 = r\)

DOI10.1016/j.aml.2020.106348zbMath1442.35192OpenAlexW3013345407MaRDI QIDQ2178683

Xianfa Song

Publication date: 11 May 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106348

zbMATH Keywords

global existencefinite-time blow upGierer-Meinhardt system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model

Cites Work

• Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system
• Global-in-time behavior of the solution to a Gierer-Meinhardt system
• On global existence for the Gierer-Meinhardt system
• On the global existence and asymptotic behavior of solutions of reaction- diffusion equations
• Global solutions of reaction-diffusion systems
• Global existence of solutions of an activator-inhibitor system
• On the global existence and finite time blow-up of shadow systems
• Boundedness and blow up for the general activator-inhibitor model
• Some properties for the solutions of a general activator-inhibitor model
• Finite-time blow-up and blow-up rates for the Gierer–Meinhardt system
• Reaction-diffusion systems in the Gierer-Meinhardt theory of biological pattern formation
• Identification of Space-Time Distributed Parameters in the Gierer--Meinhardt Reaction-Diffusion System

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