Asymptotic Behavior of Solutions of Quasilinear Hyperbolic Equations with Linear Damping

Journal of Differential Equations

Volumn 137, Issue 2, 1997, Pages 384-395

  Nishihara, Kenji ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001092706     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3268     Document Type: Article

References (8)

1. Hsiao L., Liu T.-P. Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping. Comm. Math. Phys. 143:1992;599-605.
2. Hsiao L., Liu T.-P. Nonlinear diffusion phenomena of nonlinear hyperbolic system. Chinese Ann. Math. Ser. B. 14:1993;465-480.
3. Li, Ta-tsien, Nonlinear heat conduction with finite speed of propagation, Proceedings of the China-Japan Symposium on Reaction-Diffusion Equations and Their Applications and Computational Aspects.
4. Matsumura A. Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation. Publ. Res. Inst. Math. Sci. 13:1977;349-379.
5. T. Mizumachi, preprint, Time decay of solutions to degenerate Kirchhoff type equation.
6. Nishida T. Nonlinear hyperbolic equations and related topics in fluid dynamics. Publ. Math. 1978.
7. Nishihara K. Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping. J. Differential Equations. 131:1996;171-188.
8. Nishihara K., Ono K. Asymptotic behaviors of solutions of some nonlinear oscillation equations with strong damping. Adv. Math. Sci. Appl. 4:1994;285-295.