Non-minimizing connecting orbits for multi-well systems

Ramon, Oliver-Bonafoux,

doi:10.1007/s00526-021-02167-3

Calc. Var.

2022

DOI: 10.1007/s00526-021-02167-3

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Non-minimizing connecting orbits for multi-well systems

Oliver-Bonafoux, Ramon

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2024

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Asymptotics for vectorial Allen–Cahn type problems

Bethuel

2024

Journées Équations Aux Dérivées Partielles

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These notes present some recent results concerning the convergence of solutions to the elliptic vectorial Allen-Cahn equation in dimension two as the parameter ε tends to zero, and its connections to minimal surface theory in the weak sense of stationary varifolds. We first describe the results obtained so far in the scalar theory, which can be considered as quite satisfactory, and provide some ideas about the proofs and their main steps. We then present some adaptations necessary to handle the vectorial case in dimension two.

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Asymptotics for vectorial Allen–Cahn type problems

Bethuel

2024

Journées Équations Aux Dérivées Partielles

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show abstract

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Non-minimizing connecting orbits for multi-well systems

Cited by 1 publication

References 25 publications

Asymptotics for vectorial Allen–Cahn type problems

Asymptotics for vectorial Allen–Cahn type problems

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