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The diffusive limit of two velocity models: The porous medium equation

 

作者: V. Comincioli,   G. Naldi,   G. Toscani,  

 

期刊: Transport Theory and Statistical Physics  (Taylor Available online 1997)
卷期: Volume 26, issue 1-2  

页码: 49-63

 

ISSN:0041-1450

 

年代: 1997

 

DOI:10.1080/00411459708221774

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

It has been shown recently that the equation of diffusion in a porous medium can be obtained in a suitable scaling limit by a two velocity model of the Boltzmann equation. Here, the macroscopic equations induced by this model are investigated numerically for small values of the scaling parameter. This leads to an approximation of the solution to the porous media equation which is completely different from the usual ones. Comparison with previous numerical experiments is included.

 

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