抄録
We consider the initial-boundary value problem for a 2-speed system of first order semilinear hyperbolic equations. We establish the existence of global weak solutions in L1 by the theory of nonlinear contraction semigroups. Using the monotone method and the div-curl lemma, we investigate the hydrodynamical limits of the solutions of the hyperbolic systems and show that the limits verify the doubly nonlinear parabolic equations.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 351-382 |
| ページ数 | 32 |
| ジャーナル | Funkcialaj Ekvacioj |
| 巻 | 59 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 2016 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology