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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/18699

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/18699

Title:	Propagation of Singularities in the Solutions to the Boltzmann Equation near Equilibrium
Authors:	段任軍 DUAN, RENJUN 李明融 LI, MENG-RONG 楊彤 YANG, TONG
Keywords:	Boltzmann equation;singularity;Maxwellian
Date:	2008-07
Issue Date:	2008-12-24 13:29:56 (UTC+8)
Abstract:	This paper is about the propagation of the singularities in the solutions to the Cauchy problem of the spatially inhomogeneous Boltzmann equation with angular cutoff assumption. It is motivated by the work of Boudin–Desvillettes on the propagation of singularities in solutions near vacuum. It shows that for the solution near a global Maxwellian, singularities in the initial data propagate like the free transportation. Precisely, the solution is the sum of two parts in which one keeps the singularities of the initial data and the other one is regular with locally bounded derivatives of fractional order in some Sobolev space. In addition, the dependence of the regularity on the cross-section is also given.
Relation:	Mathematical Models and Methods in Applied Sciences, 18(7), 1093-1114
Data Type:	article
DOI link:	http://dx.doi.org/10.1142/S0218202508002966
DOI:	10.1142/S0218202508002966
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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