Sharp interface limit of a multi-phase transitions model under nonisothermal conditions
2021 ◽
Vol 60
(4)
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Keyword(s):
AbstractA vectorial Modica–Mortola functional is considered and the convergence to a sharp interface model is studied. The novelty of the paper is that the wells of the potential are not constant, but depend on the spatial position in the domain $$\Omega $$ Ω . The mass constrained minimization problem and the case of Dirichlet boundary conditions are also treated. The proofs rely on the precise understanding of minimizing geodesics for the degenerate metric induced by the potential.
2014 ◽
Vol 262
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pp. 131-152
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Keyword(s):
2018 ◽
Vol 116
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pp. 30-49
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Keyword(s):
Keyword(s):
Existence of weak solutions for a sharp interface model for phase separation on biological membranes
2021 ◽
Vol 14
(1)
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pp. 331-351
2016 ◽
Vol 27
(3)
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pp. 847-872
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Keyword(s):
1995 ◽
Vol 32
(2)
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pp. A58
2020 ◽
Vol 229
(19-20)
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pp. 2899-2909
Keyword(s):
2004 ◽
Vol 28
(1)
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pp. 59-76
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Keyword(s):
Keyword(s):