The geometric structure of interfaces and free boundaries (Q2076016)
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scientific article; zbMATH DE number 7475687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The geometric structure of interfaces and free boundaries |
scientific article; zbMATH DE number 7475687 |
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The geometric structure of interfaces and free boundaries (English)
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17 February 2022
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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.
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nonlinear elliptic equation
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minimal surface
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phase transition
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Allen-Cahn equation
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binary fluid
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Peierls-Nabarro equation
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obstacle problem
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Stefan problem
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regularity
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