On global existence for the Gierer-Meinhardt system
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Publication:479999
DOI10.3934/dcds.2015.35.583zbMath1432.35119OpenAlexW2333043781MaRDI QIDQ479999
Publication date: 8 December 2014
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2015.35.583
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (11)
Steady state solutions for a general activator-inhibitor model ⋮ Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model ⋮ Bifurcation and Turing patterns of reaction-diffusion activator-inhibitor model ⋮ Finite-time blowup of solutions to some activator-inhibitor systems ⋮ Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system ⋮ Finite-time blow-up and blow-up rates for the Gierer–Meinhardt system ⋮ Some results on the Gierer-Meinhardt model with critical exponent \(p - 1 = r\) ⋮ Global existence and blowup solutions for the Gierer-Meinhardt system ⋮ Global existence for a singular Gierer-Meinhardt system ⋮ Pattern Dynamics in a Diffusive Gierer–Meinhardt Model ⋮ Blow-up of positive solutions to a singular Gierer-Meinhardt system
Cites Work
- Global solutions of reaction-diffusion systems
- Global existence of solutions of an activator-inhibitor system
- The dynamics of a kinetic activator -- inhibitor system
- 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
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