Variational and PDE Methods in Nonlinear Science (eBook, PDF)

Variational and PDE Methods in Nonlinear Science (eBook, PDF)

Cetraro, Italy 2023

Redaktion: Bethuel, Fabrice; Stroffolini, Bianca; Orlandi, Giandomenico
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This book presents three short courses on topics at the intersection of Calculus of Variations, PDEs and Material Science, based on lectures given at the CIME summer school "Variational and PDE Methods in Nonlinear Science", held in Cetraro (Italy), July 10-14, 2023.Fabrice Bethuel discusses aympototics for Allen-Cahn systems, providing an overview of classical methods and tools for the scalar case and further results for the two-dimensional vectorial case. An alternate monotonicity formula is described, and the still open parabolic vectorial case is considered. Angkana Rüland considers the m...

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