Well-posedness of the free boundary problem for incompressible elastodynamics (Q1733216)
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scientific article; zbMATH DE number 7104399
- Well-posedness of the free boundary problem in incompressible elastodynamics
| Language | Label | Description | Also known as |
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| English | Well-posedness of the free boundary problem for incompressible elastodynamics |
scientific article; zbMATH DE number 7104399 |
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Well-posedness of the free boundary problem for incompressible elastodynamics (English)
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Well-posedness of the free boundary problem in incompressible elastodynamics (English)
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21 March 2019
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12 September 2019
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The authors consider the free boundary problem for the three dimensional incompressible elastodynamics system under the Rayleigh-Taylor sign condition. The local-in-time existence of a unique smooth solution is proved using a geometric argument in the spirit of \textit{H. Lindblad}'s seminal work [Ann. Math. (2) 162, No. 1, 109--194 (2005; Zbl 1095.35021)].
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incompressible
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elastodynamics
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free boundary problem
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