|
|
| |
| Applications of the Kinetic Formulation for Scalar Conservation Laws with a Zero-Flux Type Boundary Condition |
| |
Citation： |
Zhigang WANG,Yachun LI.Applications of the Kinetic Formulation for Scalar Conservation Laws with a Zero-Flux Type Boundary Condition[J].Chinese Annals of Mathematics B,2012,33(3):351~366 |
| Page view： 1963
Net amount： 1549 |
Authors： |
Zhigang WANG; Yachun LI; |
Foundation： |
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) and the Quality Project Fund of Fuyang Teachers College (No.\, 2010JPKC07). |
|
|
| Abstract： |
The authors are concerned with a zero-flux type initial boundary value problem for scalar conservation laws. Firstly, a kinetic formulation of entropy solutions is established. Secondly, by using the kinetic formulation and kinetic techniques, the uniqueness of entropy solutions is obtained. Finally, the parabolic approximation is studied and an error estimate of order $\eta^{\frac{1}{3}}$ between the entropy solution and the viscous approximate solutions is established by using kinetic techniques, where $\eta$ is the size of artificial viscosity. |
Keywords： |
Scalar conservation laws, Entropy solutions, Kinetic formulation,Uniqueness, Error estimate |
Classification： |
35B40,35A05,76Y05,35B35,35L65,85A05 |
|
|
Download PDF Full-Text
|
|
|
|
