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research article
Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls
February 1, 2023
Using a variational method, we prove the existence of heteroclinic solutions for a 6-dimensional system of ordinary differential equations. We derive this system from the classical Benard-Rayleigh problem near the convective instability threshold. The constructed heteroclinic solutions provide first order approximations for domain walls between two orthogonal convective rolls.(c) 2023 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
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Type
research article
Web of Science ID
WOS:000968998400001
Authors
Publication date
2023-02-01
Publisher
Published in
Volume
355
Start page
193
End page
218
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 8, 2023