Transition layer solutions of a higher order equation in an infinite tube

DOI10.1080/03605309608821180zbMath0904.35019OpenAlexW2051393293MaRDI QIDQ4872523

Peter W. Bates, Xiaofeng Ren

Publication date: 3 January 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821180

zbMATH Keywords

existencebinary mixturephase transitionnonconvex problemphase field

Mathematics Subject Classification ID

Variational inequalities (49J40) Thermodynamics in solid mechanics (74A15) Multiphase and multicomponent flows (76T99) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items (6)

Layered solutions to the vector Allen-Cahn equation in \(\mathbb{R}^2\). Minimizers and heteroclinic connections ⋮ Young measures in a nonlocal phase transition problem ⋮ A maximum principle for systems with variational structure and an application to standing waves ⋮ Slow motion in higher-order systems and \(\Gamma\)-convergence in one space dimension ⋮ On the loss of compactness in the vectorial heteroclinic connection problem ⋮ Multiple layered solutions of the nonlocal bistable equation

Cites Work

• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Unnamed Item

This page was built for publication: Transition layer solutions of a higher order equation in an infinite tube