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

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.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693129
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Submitted on : Tuesday, May 1, 2012 - 9:40:13 PM
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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, Springer Verlag, 2009, 290 (1), pp.1--14. ⟨10.1007/s00220-009-0821-5⟩. ⟨hal-00693129⟩

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