Heteroclinic orbits for a system of amplitude equations for orthogonal\n domain walls

2021/12/20 by Boris Buffoni, Buffoni, Boris, Mariana Hărăguş +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Fluid Dynamics and Thin Films

paper · pdf · doi:10.48550/arxiv.2112.10546

openalex publication_date 2021/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a variational method, we prove the existence of heteroclinic solutions\nfor a 6dimensional system of ordinary differential equations. We derive this\nsystem from the classical B 'enard-Rayleigh problem near the convective\ninstability threshold. The constructed heteroclinic solutions provide first\norder approximations for domain walls between two orthogonal convective rolls.\n

Related

• Existence of orthogonal domain walls in Bénard-Rayleigh convection
• Heteroclinic for a 6-dimensional reversible system occuring in orthogonal domain walls in convection
• Connecting orbits in Hilbert spaces and applications to P.D.E
• Computer assisted proofs for transverse heteroclinics by the parameterization method
• On the Loss of Compactness in the Vectorial Heteroclinic Connection\n Problem