Applied Mathematics

Volume 1, Issue 6 (December 2010)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

C0 Approximation on the Spatially Homogeneous Boltzmann Equation for Maxwellian Molecules

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DOI: 10.4236/am.2010.16066    6,082 Downloads   9,872 Views  
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ABSTRACT

In this paper we study the viscosity analysis of the spatially homogeneous Boltzmann equation for Maxwellian molecules. We first show that the global existence in time of the mild solution of the viscosity equation . We then study the asymptotic behaviour of the mild solution as the coefficients , and an estimate on is derived.

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M. Zheng, "C0 Approximation on the Spatially Homogeneous Boltzmann Equation for Maxwellian Molecules," Applied Mathematics, Vol. 1 No. 6, 2010, pp. 504-509. doi: 10.4236/am.2010.16066.

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