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# Communications in Mathematical Sciences

## Volume 14 (2016)

### Number 2

### Zero relaxation limit to rarefaction waves for general $2 \times 2$ hyperbolic systems with relaxation

Pages: 443 – 462

DOI: http://dx.doi.org/10.4310/CMS.2016.v14.n2.a6

#### Authors

#### Abstract

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.

#### Keywords

hyperbolic systems with relaxation, zero relaxation limit, rarefaction waves

#### 2010 Mathematics Subject Classification

35B25, 35L60