Stability of planar diffusion wave for the quasilinear wave equation with nonlinear damping-Reference-Cited by-同舟云学术

Stability of planar diffusion wave for the quasilinear wave equation with nonlinear damping

Published:2015-01 Issue:1 Volume:31 Page:17-30
ISSN:0168-9673
Container-title:Acta Mathematicae Applicatae Sinica, English Series
language:en
Short-container-title:Acta Math. Appl. Sin. Engl. Ser.

Author:

Yong Yan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10255-011-0100-z.pdf

Reference21 articles.

1. Dafermos, C. A system of hyperbolic conservation laws with frictional damping. Z. Angew. Math. Phys., 46(Special Issue): 294–307 (1995)

2. He, C., Huang, F., Yong, Y. Stability of planar diffusion wave for nonlinear evolution equation. Preprint

3. Huang, F., Li, J., Matsmura, A. Stability of combination of viscous contact waves with rarefaction waves for 1-D compressible Navier-Stokes system. Arch. Rat. Mech. Anal., 2010, online DOI: 10.1007/s00205-009-0267-0

4. Hsiao, L., Liu, T. Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping. Commun. Math. Phys., 143: 599–605 (1992)

5. Hsiao, L., Liu, T. Nonlinear diffusion phenomena of nonlinear hyperbolic system. Chinese Ann. Math. Ser. B, 14: 465–480 (1993).

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