2015 / December Volume 10 No.4
Scalar Viscous Conservation Laws in $R^2$
| Published Date |
2015 / December
|
|---|---|
| Title | Scalar Viscous Conservation Laws in $R^2$ |
| Author | |
| Keyword | |
| Download | |
| Pagination | 553-574 |
| Abstract | In this paper, we follow the framework of construction of Green's function for Boltzmann equation
in [12] to establish the pointwise structure for the stability of shock profile for scalar viscous conservation law in
$R^2$. We treat the 2-D viscous conservation law like a kinetic equation, and introduce the shock front-remainder
decomposition to separate the effect coming from shock front. Based on this decomposition, we construct the
Green's function and get the pointwise structure of shock front.
|
| AMS Subject Classification |
82C40.
|
| Received |
2015-06-10
|
| Accepted |
2015-06-10
|