Advances in Differential Equations

On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity

Taoufik Hmidi and Sahbi Keraani

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Abstract

In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity, for rough initial data.

Article information

Source
Adv. Differential Equations, Volume 12, Number 4 (2007), 461-480.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867459

Mathematical Reviews number (MathSciNet)
MR2305876

Zentralblatt MATH identifier
1154.35073

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 76D03: Existence, uniqueness, and regularity theory [See also 35Q30]

Citation

Hmidi, Taoufik; Keraani, Sahbi. On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity. Adv. Differential Equations 12 (2007), no. 4, 461--480. https://projecteuclid.org/euclid.ade/1355867459


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