ON AXISYMMETRIC TRAVELING WAVES AND RADIAL SOLUTIONS OF SEMI-LINEAR ELLIPTIC EQUATIONS

DOI10.1111/J.1939-7445.2000.TB00039.XzbMath1002.34020OpenAlexW2130108714MaRDI QIDQ2745393

K. Ono, Tasso J. Kaper, Thomas P. Witelski

Publication date: 14 February 2002

Published in: Natural Resource Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1939-7445.2000.tb00039.x

zbMATH Keywords

semilinear elliptic equationsradial solutionsgeometric modelsaxisymmetric traveling waves

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (2)

Lattice-free models of cell invasion: discrete simulations and travelling waves ⋮ On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spherically symmetric solutions of a reaction-diffusion equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
• Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit
• Corrections to: ``Phase field models and sharp interface limits: Some differences in subtle situations
• Multidimensional nonlinear diffusion arising in population genetics
• Conditional stability of front solutions
• Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation
• Linking anisotropic sharp and diffuse surface motion laws via gradient flows
• Multiple scale and singular perturbation methods
• Nucleation theory for a model bistable chemical reaction.
• The existence of similar solutions for some laminar boundary layer problems
• The Dynamics of Nucleation for the Cahn–Hilliard Equation
• Front migration in the nonlinear Cahn-Hilliard equation
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• Nonlocal reaction—diffusion equations and nucleation
• The Structure of Internal Layers for Unstable Nonlinear Diffusion Equations
• Critical wave speeds for a family of scalar reaction-diffusion equations

This page was built for publication: ON AXISYMMETRIC TRAVELING WAVES AND RADIAL SOLUTIONS OF SEMI-LINEAR ELLIPTIC EQUATIONS