Applications of the Kinetic Formulation for Scalar Conservation Laws with a Zero-Flux Type Boundary Condition

作     者：Zhigang WANG Yachun LI 

作者机构：Department of MathematicsShanghai Jiao Tong UniversityShanghai 200240China Department of MathematicsFuyang Teachers CollegeFuyang 236029AnhuiChina Department of MathematicsShanghai Jiao Tong UniversityShanghai 200240China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2012年第33卷第3期

页      面：351-366页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (No. 10971135) the Program for New Century Excellent Talents of the Ministry of Education of China (No. NCET-07-0546) the University Young Teacher Sciences Foundation of Anhui Province (No. 2010SQRL145) Shanghai Jiao Tong University Innovation Fund for Postgraduates (No. AE071202) the Quality Project Fund of Fuyang Teachers College (No. 2010JPKC07) 

主　　题：Scalar conservation laws Entropy solutions Kinetic formulation Uniaueness Error estimate 

摘      要：The authors are concerned with a zero-flux type initial boundary value problem for scalar conservation ***,a kinetic formulation of entropy solutions is ***,by using the kinetic formulation and kinetic techniques,the uniqueness of entropy solutions is ***,the parabolic approximation is studied and an error estimate of order η 1/3 between the entropy solution and the viscous approximate solutions is established by using kinetic techniques,where η is the size of artificial viscosity.