Existence of weak positive solutions to a nonlinear PDE system around a triple phase boundary, coupling domain and boundary variables
Copyright policy )Existence of weak positive solutions to a nonlinear PDE system around a triple phase boundary, coupling domain and boundary variables
The authors show the existence of a positive, bounded weak solution for a system of partial differential equations having a physical origin. The specific character of this system is the coupling of a variable satisfying a partial differential equation in the domain with a variable satisfying a differential equation on the boundary. The proof relies on the Leray-Schauder fixed point theorem.
- University of Ottawa Canada
Applied Mathematics, Variational problems, Triple phase boundary, Existence problems for PDEs: global existence, local existence, non-existence, PDEs in connection with fluid mechanics, differential equation on the boundary, PEM fuel cells, surface and bulk diffusions, Leray-Schauder fixed point theorem, Surface and bulk diffusions, Free boundary problems for PDEs, PDEs, Weak solutions to PDEs, Analysis
Applied Mathematics, Variational problems, Triple phase boundary, Existence problems for PDEs: global existence, local existence, non-existence, PDEs in connection with fluid mechanics, differential equation on the boundary, PEM fuel cells, surface and bulk diffusions, Leray-Schauder fixed point theorem, Surface and bulk diffusions, Free boundary problems for PDEs, PDEs, Weak solutions to PDEs, Analysis
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