Davoli, E., & Tasso, E. (2023, September 20). Sharp-interface limit for non-isothermal and nonlocal Modica-Mortola functionals [Conference Presentation]. Variational Models for Material Failure 2023, Erlangen, Germany.
nonlocal non homogeneous phase transitions; optimal profiles; sharp-interface limit
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Abstract:
In this talk, we analyze a non-isothermal and nonlocal variant of the Modica-Mortola diffuse model for phase transitions. Here the classical gradient penalization is replaced by a nonlocal singular perturbation and the double-well potential is space-dependent. Our main result is the identification of the sharp-interface limit as the width of the transition layers converges to zero. This is joint work with Emanuele Tasso.
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Research Areas:
Modeling and Simulation: 50% Fundamental Mathematics Research: 50%
