基于极大正则性的Boussinesq系统在临界空间中的适定性

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2020-12-03 DOI:10.5802/aif.3523

L. Brandolese, Sylvie Monniaux

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引用次数: 4

摘要

我们在时间连续的临界空间中，在整个三维空间中，建立了Boussinesq系统的存在性和唯一性，其值在3次方可积的空间函数中，速度和平方在时间上可积的值在空间上可积。

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Well-posedness for the Boussinesq system in critical spaces via maximal regularity

We establish the existence and the uniqueness for the Boussinesq system in the whole 3D space in the critical space of continuous in time with values in the power 3 integrable in space functions for the velocity and square integrable in time with values in the power 3/2 integrable in space.

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.