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Water Waves with or Without Surface Tension

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Author

Listed:
  • Diego Córdoba

    (Consejo Superior de Investigaciones Científicas, Instituto de Ciencias Matemáticas)

  • Charles Fefferman

    (Princeton University, Department of Mathematics)

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 short-time existence of smooth solutions; other results establish existence of smooth solutions for all time; still other results assert that singularities form in finite time.

Suggested Citation

  • Diego Córdoba & Charles Fefferman, 2018. "Water Waves with or Without Surface Tension," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 27, pages 1329-1349, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_30
    DOI: 10.1007/978-3-319-13344-7_30
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