Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

R. Cristoferi - G. Gravina

Sharp interface limit of a multi-phase transitions model under nonisothermal conditions

created by cristoferi on 19 Jan 2020
modified on 24 Feb 2020

[BibTeX]

Submitted Paper

Inserted: 19 jan 2020
Last Updated: 24 feb 2020

Year: 2020

Abstract:

A 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 $\Omega$. 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.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1