GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT

DOI10.11948/20190306zbMath1466.60125arXiv1907.10122OpenAlexW2962805059MaRDI QIDQ5858058

Kwadwo Antwi-Fordjour, Seonguk Kim, Marius Nkashama

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10122

zbMATH Keywords

global existencemultiplicative noiseshadow Gierer-Meinhardt systemlinear Robin-Neumann boundary conditions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Applications of stochastic analysis (to PDEs, etc.) (60H30) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on global existence of solutions of shadow systems
• On a stochastic reaction-diffusion system modeling pattern formation on seashells
• Global existence for a singular Gierer-Meinhardt system
• 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
• The dynamics of the stochastic shadow Gierer-Meinhardt system
• Finite time blowup of the stochastic shadow Gierer-Meinhardt system
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions
• Multiple solutions for an elliptic system with indefinite Robin boundary conditions
• Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions
• Reaction-diffusion systems in the Gierer-Meinhardt theory of biological pattern formation
• Activators and Inhibitors in Pattern Formation
• The chemical basis of morphogenesis
• Probability

This page was built for publication: GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT