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Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules

 

作者: Laurent Desvillettes,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1997）
卷期: Volume 26, issue 3  

页码: 341-357

 

ISSN:0041-1450

 

年代: 1997

 

DOI:10.1080/00411459708020291

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We prove in this work that the solution of the two-dimensional spatially homogeneous Boltzmann equation with Maxwellian molecules lies “almost” inH1(in the velocity variable) as soon as the initial datum has finite mass, energy and entropy. No assumption of radial symmetry of the solution is made in this paper.

 

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