Free boundary cluster with Robin condition on the transmission Interface
Serena Guarino Lo Bianco, Domenico Angelo La Manna, Bozhidar Velichkov
TL;DR
This paper investigates a variational two-phase free boundary problem with Robin boundary conditions at the interface, establishing existence and regularity of solutions specifically in two-dimensional settings.
Contribution
It introduces a novel formulation of a free boundary problem with Robin conditions and proves key existence and regularity results in two dimensions.
Findings
Existence of solutions to the problem.
Regularity of solutions in two dimensions.
Framework for free boundary problems with Robin conditions.
Abstract
We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension two
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Contact Mechanics and Variational Inequalities