C0 Approximation on the Spatially Homogeneous Boltzmann Equation for Maxwellian Molecules

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DOI: 10.4236/am.2010.16066    6,075 Downloads   9,852 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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