Distributional Solutions of the Boltzmann Equation--《Acta Analysis Functionalis Applicata》2009年01期

《Acta Analysis Functionalis Applicata》 2009-01

Distributional Solutions of the Boltzmann Equation

HE Qin1, WEI Ziqing2, TIAN Yong3 1. School of Mathematical Sciences, Xuchang University, Xuchang 461000, China 2. Department of Public Teaching, BlueSky University, Nanchang 330098, China 3. Department of Mathematics, Jiangxi Agricutural University, Nanchang 330045, China

We discuss the Cauchy problem of the Kac equation. we proved that, the Kac equation has an unique global distributional solution. And proved that this solution can be controlled by the initial value, with a new linearization-method.

【CateGory Index】： O175

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Chinese Journal Full-text Database

3 Hits

1	JIN Shou-bo1, XIAO Zhi-tao2, ZHANG Guang-hui1 (1. Mathematical Department,Suzhou College,Suzhou 234000,China; 2. Basic Department,Huali College Guangdong University of Technology,Guangdong Guangzhou 511325,China);The Asymptotic Properties of the Generalized Kac Equation[J];College Mathematics;2010-04
2	Shoubo Jin, Panfeng Chen (School of Math. and Statistics, Suzhou University, Suzhou 234000, Anhui);STABILITY OF DISSIPATIVE BOLTZMANN EQUATION FOR ONE-DIMENSIONAL GRANULAR GASES[J];微分方程年刊(英文版);2011-02
3	JIN Shoubo,CHEN Panfeng(Mathematical Department,Suzhou University,Suzhou234000,China);L~1 Asymptotic Stability of Kinetic Model for Rarefied Gases Subject to Dissipative Collisions[J];Mathematica Applicata;2011-03

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