CORDIS Project
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This project focuses on developing minimal solutions for complex nonlinear systems of partial differential equations. It aims to explore their qualitative properties, particularly in relation to phase transitions and integrable systems, with applications in liquid crystals and other fields.
The aim of this proposal is to provide a systematic study of minimal solutions for a large class of nonlinear systems of PDE.
Namely we will construct minimal solutions with predefined characteristics and investigate their qualitative properties, addressing the fundamental challenges that appear in the case of systems and which cannot be tackled with tools from the scalar case.The first part focuses on phase transition problems described by the Allen-Cahn system.
This is a hot and difficult topi…
BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS
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