Abstract
In this survey article, we present results from the last several decades on several systems of PDE that model water waves. Some of those results provide shorttime existence of smooth solutions; other results establish existence of smooth solutions for all time; still other results assert that singularities form in finite time.
Original language | English (US) |
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Title of host publication | Handbook of Mathematical Analysis in Mechanics of Viscous Fluids |
Publisher | Springer International Publishing |
Pages | 1329-1349 |
Number of pages | 21 |
ISBN (Electronic) | 9783319133447 |
ISBN (Print) | 9783319133430 |
DOIs | |
State | Published - Apr 19 2018 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Physics and Astronomy
- General Engineering