Communications in Mathematical Sciences
Volume 14 (2016)
Zero relaxation limit to rarefaction waves for general $2 \times 2$ hyperbolic systems with relaxation
Pages: 443 – 462
For the general $2 \times 2$ hyperbolic conservation laws with relaxation, the convergence to the rarefaction wave of the equilibrium equation as the relaxation parameter tends to zero is proved, and the convergence rate is given.
hyperbolic systems with relaxation, zero relaxation limit, rarefaction waves
2010 Mathematics Subject Classification