Global existence for a singular Gierer-Meinhardt system

DOI10.1016/j.jde.2016.11.022zbMath1365.35070OpenAlexW2551602864MaRDI QIDQ729973

Yurij Salmaniw, Shaohua Chen, Run-Zhang Xu

Publication date: 22 December 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.11.022

zbMATH Keywords

Dirichlet boundary conditionsglobal existenceactivator-inhibitor modelsingular Gierer-Meinhardt systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Positive solutions to PDEs (35B09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Steady state solutions for the Gierer-Meinhardt system in the whole space ⋮ Uniformly bounded weak and classical solutions to a singular parabolic system and applications ⋮ Global existence and blowup solutions for the Gierer-Meinhardt system ⋮ The explicit solution to the initial-boundary value problem of Gierer-Meinhardt model ⋮ Existence, nonexistence and uniqueness of positive stationary solutions of a singular Gierer-Meinhardt system ⋮ Bounded solutions to a singular parabolic system ⋮ Global and blow-up solutions for compressible Euler equations with time-dependent damping ⋮ Blow-up of positive solutions to a singular Gierer-Meinhardt system ⋮ GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT

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