Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
From MaRDI portal
Publication:2031210
DOI10.3934/dcds.2021026zbMath1465.35280OpenAlexW3123945562MaRDI QIDQ2031210
Yoshihisa Morita, Shuichi Jimbo
Publication date: 8 June 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2021026
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items
Standing Waves of Reaction-Diffusion Equations on an Unbounded Graph with Two Vertices, The dynamics of pulse solutions for reaction diffusion systems on a star shaped metric graph with the Kirchhoff's boundary condition, Front propagation in the bistable reaction-diffusion equation on tree-like graphs, Front propagation and blocking for the competition-diffusion system in a domain of half-lines with a junction, Multi-spike patterns for the Gierer-Meinhardt model with heterogeneity on \(Y\)-shaped metric graph, Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Entire solutions with merging fronts to reaction-diffusion equations
- Bistable transition fronts in \(\mathbb{R}^N\)
- Geometric theory of semilinear parabolic equations
- Travelling fronts in nonlinear diffusion equations
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- The behavior of solutions of some non-linear diffusion equations for large time
- Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations
- Existence and uniqueness of entire solutions for a reaction-diffusion equation
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Backward global solutions characterizing annihilation dynamics of travelling fronts
- The Fisher-KPP equation over simple graphs: varied persistence states in river networks
- On the mean speed of bistable transition fronts in unbounded domains
- Mathematical physiology. I: Cellular physiology
- Nagumo's equation
- Front blocking and propagation in cylinders with varying cross section
- Entire solutions to reaction-diffusion equations in multiple half-lines with a junction
- Bistable traveling waves around an obstacle
- Convergence of solutions of the Kolmogorov equation to travelling waves
- Entire solutions of the KPP equation
- Front Propagation in Heterogeneous Media
- Front propagation in periodic excitable media
- Dynamical systems and traveling waves in almost periodic structures
- Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)
