# Almost global solutions for the capillarity wave equation...

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 Title Almost global solutions for the capillarity wave equation... Title of Series Trimestre Ondes Non Linéaires - May conference Part Number 8 Number of Parts 21 Author Delort, Jean Marc License CC Attribution 3.0 Unported:You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. DOI 10.5446/20765 Publisher Institut des Hautes Études Scientifiques (IHÉS) Release Date 2016 Language English

 Subject Area Mathematics Abstract Almost global solutions for the capillarity wave equation with small periodic data We prove that the capillarity waves equation in one dimension and finite depth has solutions over time intervals of length c N\epsion^ for any N, if the Cauchy data are of small size \epsilon and space periodic, and if the gravity, or the surface tension, is taken outside a subset of zero measure. The proof relies on normal forms and on the use of the reversibility of the equation. This is joint work with Massimiliano Berti
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Game theory

### Timings

  608 ms - page object


### Version

AV-Portal 3.8.0 (dec2fe8b0ce2e718d55d6f23ab68f0b2424a1f3f)