The geometric structure of interfaces and free boundaries

  • Joaquim Serra

    ETH Zürich, Switzerland
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Abstract

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.

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Joaquim Serra, The geometric structure of interfaces and free boundaries. Eur. Math. Soc. Mag. 120 (2021), pp. 8–15

DOI 10.4171/MAG/17