Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls
Analysis of PDEs
2021-12-21 v1
Abstract
Using a variational method, we prove the existence of heteroclinic solutions for a 6dimensional system of ordinary differential equations. We derive this system from the classical B{\'e}nard-Rayleigh problem near the convective instability threshold. The constructed heteroclinic solutions provide first order approximations for domain walls between two orthogonal convective rolls.
Keywords
Cite
@article{arxiv.2112.10546,
title = {Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls},
author = {Boris Buffoni and Mariana Haragus and Gérard Iooss},
journal= {arXiv preprint arXiv:2112.10546},
year = {2021}
}