Water waves with or without surface tension

Diego Córdoba, Charles Fefferman

Research output: Chapter in Book/Report/Conference proceedingChapter


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 languageEnglish (US)
Title of host publicationHandbook of Mathematical Analysis in Mechanics of Viscous Fluids
PublisherSpringer International Publishing
Number of pages21
ISBN (Electronic)9783319133447
ISBN (Print)9783319133430
StatePublished - Apr 19 2018

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Physics and Astronomy
  • General Engineering


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