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Journal Articles Communications in Mathematical Physics Year : 2009

Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich's Type Data

Marius Paicu
  • Function : Author

Abstract

The present paper is dedicated to the study of the global existence for the inviscid two-dimensional Boussinesq system. We focus on finite energy data with bounded vorticity and we find out that, under quite a natural additional assumption on the initial temperature, there exists a global unique solution. No smallness conditions are imposed on the data. The global existence issues for infinite energy initial velocity, and for the B,nard system are also discussed.

Dates and versions

hal-00693129 , version 1 (01-05-2012)

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Raphaël Danchin, Marius Paicu. Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich's Type Data. Communications in Mathematical Physics, 2009, 290 (1), pp.1--14. ⟨10.1007/s00220-009-0821-5⟩. ⟨hal-00693129⟩
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