Translator Disclaimer
2019 Two-dimensional gravity water waves with constant vorticity, I: Cubic lifespan
Mihaela Ifrim, Daniel Tataru
Anal. PDE 12(4): 903-967 (2019). DOI: 10.2140/apde.2019.12.903

Abstract

This article is concerned with the incompressible, infinite-depth water wave equation in two space dimensions, with gravity and constant vorticity but with no surface tension. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove local well-posedness for large data, as well as cubic lifespan bounds for small-data solutions.

Citation

Download Citation

Mihaela Ifrim. Daniel Tataru. "Two-dimensional gravity water waves with constant vorticity, I: Cubic lifespan." Anal. PDE 12 (4) 903 - 967, 2019. https://doi.org/10.2140/apde.2019.12.903

Information

Received: 17 February 2017; Revised: 22 May 2018; Accepted: 14 July 2018; Published: 2019
First available in Project Euclid: 30 October 2018

zbMATH: 06991222
MathSciNet: MR3869381
Digital Object Identifier: 10.2140/apde.2019.12.903

Subjects:
Primary: 35Q35
Secondary: 42B37, 76B15

Rights: Copyright © 2019 Mathematical Sciences Publishers

JOURNAL ARTICLE
65 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.12 • No. 4 • 2019
MSP
Back to Top