Abstract
In this paper, we prove the equivalence of kinetic solutions and entropy solutions for the initialboundary value problem with a non-homogeneous boundary condition for a multi-dimensional scalar first-order conservation law with a multiplicative noise. We somewhat generalized the definitions of kinetic solutions and of entropy solutions given in Kobayasi and Noboriguchi [8] and Bauzet, Vallet and Wittobolt [1], respectively.
| Original language | English |
|---|---|
| Pages (from-to) | 575-587 |
| Number of pages | 13 |
| Journal | Tokyo Journal of Mathematics |
| Volume | 38 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2015 Dec |
Keywords
- Conservation laws
- Entropy solution
- Kinetic solution
ASJC Scopus subject areas
- Mathematics(all)