On 2x2 conservation laws with large data |
| |
Authors: | Email author" target="_blank">Rinaldo?M?ColomboEmail author Andrea?Corli |
| |
Institution: | (1) Department of Mathematics, University of Brescia, Via Valotti 9, 25133 Brescia, Italy;(2) Department of Mathematics, University of Bari, Via E. Orabona 4, 70125 Bari, Italy;(3) Current address:, Department of Mathematics, University of Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy |
| |
Abstract: | We deal with a strictly hyperbolic system of two conservation laws in one spatial dimension.
One of the eigenvalues of the system is of Temple type (rarefaction and shock curves coincide), the
other eigenvalue is only required to be genuinely nonlinear.We consider the initial value problem
for data of the following kind: the total variation of the Temple component is bounded, possibly
large, while the total variation of the other component is small. For such data we prove global
existence, uniqueness and L⊃-Lipschitz
continuous dependence of solutions.AMS Subject Classification: Primary 35L65; Secondary 35D05, 35L45. |
| |
Keywords: | Conservation laws Global existence Temple eigenvalues |
本文献已被 SpringerLink 等数据库收录! |
|