Convergence to Equilibrium for the Relaxation Approximations of Conservation
Laws Roberto Natalini
Abstract: We study the Cauchy problem for 2X2
semilinear and quasilinear hyperbolic systems with a singular relaxation term.
Special comparison and compactness properties are established by assuming the
subcharacteristic condition. Therefore we can prove the convergence to
equilibrium of the solutions of these problems as the singular perturbation
parameter tends to zero. This research was strongly motivated by the recent
numerical investigations of S. Jin and Z. Xin on the relaxation schemes for
- Available as PostScript
- Convergence to Equilibrium for the Relaxation Approximations of
- Roberto Natalini, mailto:email@example.com
- Publishing information:
- Quaderno IAC n. 9, Maggio 1995; to appear in Comm. Pure Appl. Math.
- Submitted by:
July 2 1996.
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