The Existence of Travelling Wave Solutions of a Generalized Phase-Field Model
From MaRDI portal
Publication:3125349
DOI10.1137/S0036141095283820zbMath0867.35041OpenAlexW1967349224MaRDI QIDQ3125349
Peter W. Bates, Christopher K. R. T. Jones, Paul C. Fife, Robert A. Gardner
Publication date: 18 March 1997
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141095283820
Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items
Almost periodic traveling waves of nonlocal evolution equations, Approximate solution of space and time fractional higher order phase field equation, The existence and multiplicity of positive solutions of nonlinear sixth-order boundary value problem with three variable coefficients, On the existence of high Lewis number combustion fronts, The existence of positive solutions for a nonlinear sixth-order boundary value problem, Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness, Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence, Young measures in a nonlocal phase transition problem, Approximative dichotomy and persistence of nonuniformly normally hyperbolic invariant manifolds in Banach spaces, Nontrivial periodic solutions to some semilinear sixth-order difference equations, Construction and asymptotic stability of structurally stable internal layer solutions, Phase field models for hypercooled solidification, Traveling waves in a nonlocal dispersal population model with age-structure, Dual fronts in a phase field model, Periodic and homoclinic solutions of some semilinear sixth-order differential equations, Multiple layered solutions of the nonlocal bistable equation, The stability of traveling waves for Allen–Cahn equations with fractional Laplacian, Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen--Cahn equation.
