The geometric structure of interfaces and free boundaries
type: Item
instance of: scholarly article
title: The geometric structure of interfaces and free boundaries
zbMATH Open document ID: 1504.76094
DOI: 10.4171/MAG-17
author: Joaquim Serra
published in: European Mathematical Society Magazine
publication date: 2022-02-17T00:00:00Z
review text: Summary: Interfaces are surfaces that separate two regions of space with different physical properties: molecule A/molecule B, ice/water, charges/void, etc. The understanding of their geometric structure has boosted the development of Nonlinear Elliptic PDEs during the second half of the 20th century, and continues to do so at the beginning of the 21st.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49Q05
zbMATH DE Number: 7475687
zbMATH Keywords: nonlinear elliptic equation
zbMATH Keywords: minimal surface
zbMATH Keywords: phase transition
zbMATH Keywords: Allen-Cahn equation
zbMATH Keywords: binary fluid
zbMATH Keywords: Peierls-Nabarro equation
zbMATH Keywords: obstacle problem
zbMATH Keywords: Stefan problem
zbMATH Keywords: regularity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7475687