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Article type: Research Article
Authors: Zheng, Minling; | Yang, Xiaoping
Affiliations: School of Science, Nanjing University of Science & Technology, Nanjing 210094, Jiangsu, P.R. China E-mail: mlzheng@yahoo.com.cn | School of Science, Huzhou Teacher College, Huzhou 313000, Zhejiang, P.R. China E-mail: xpyang@mail.njust.edu.cn
Abstract: In this paper we study the existence and uniqueness of the solution to the viscosity equation ∂tf=δΔf+Q(f,f) with collision kernel B(|v−v*|,ω)=|v−v*|γb(cos θ) and δ>0 small enough; especially show that the solution f can approach the one of unperturbed equation in Lk1-norm while δ goes to 0. Our method mainly relies on the interpolation inequalities and the decomposition of Q+.
Keywords: weak solution, viscosity Boltzmann equation, dispersion coefficients, collision kernel
Journal: Asymptotic Analysis, vol. 53, no. 1-2, pp. 13-28, 2007
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