Singular perturbation problems arising from the anisotropy of crystalline grain boundaries

DOI10.1007/s10884-007-9078-xzbMath1145.34018OpenAlexW2166047695MaRDI QIDQ2467199

Christos Sourdis, Nicholas D. Alikakos, Giorgio Fusco, Paul C. Fife

Publication date: 21 January 2008

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-007-9078-x

zbMATH Keywords

singular perturbationstravelling wave solutionsheteroclinicsgeometric theorycrystalline interphase boundaries

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (4)

Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation ⋮ Heteroclinic orbits in slow-fast Hamiltonian systems with slow manifold bifurcations ⋮ Mixed weak-perturbative solution method for Maxwell's equations of diffusion with Müller's partial stress tensor in the low velocity limit ⋮ On the weak separation limit of a two-component Bose-Einstein condensate

Cites Work

• Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries
• Existence of heteroclinic orbits for a corner layer problem in anisotropic interfaces
• Geometric singular perturbation theory for ordinary differential equations
• Analysis of a corner layer problem in anisotropic interfaces
• Analysis of a Singularly Perturbed Traveling Wave Problem
• Anisotropy of interfaces in an ordered alloy: a multiple–order–parameter model
• Invariant manifolds in singular perturbation problems for ordinary differential equations
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