Decay property of regularity-loss type for dissipative timoshenko system

Mathematical Models and Methods in Applied Sciences

Volumn 18, Issue 5, 2008, Pages 647-667

  Ide, Kentaro ^a   Haramoto, Kazuo ^b   Kawashima, Shuichi ^c  

^a NEC CORPORATION   (Japan)

^b Nissay Dowa General Insurance Co Ltd   (Japan)

^c KYUSHU UNIVERSITY   (Japan)

Author keywords

Asymptotic behavior; Decay property of regularity loss type; Dissipative Timoshenko system

Indexed keywords

ASYMPTOTIC ANALYSIS; FOURIER ANALYSIS; ONE DIMENSIONAL;

ASYMPTOTIC BEHAVIOR; DECAY PROPERTY; DISSIPATIVE TIMOSHENKO SYSTEM; REGULARITY-LOSS TYPE;

SYSTEMS ANALYSIS;

EID: 44349100974     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202508002802     Document Type: Article

References (9)

1. T. Hosono and S. Kawashima, Decay property of regularity-loss type and application to some nonlinear hyperbolic-elliptic system, Math. Mod. Meth. Appl. Sci. 16 (2006) 1839-1859.
2. T. Kato, Perturbation Theory for Linear Operators. 2nd ed. (Springer-Verlag, 1976),
3. S. Kawashima, Global existence and stability of solutions for discrete velocity models of the Boltzmann equation, in Recent Topics in Nonlinear PDE, eds. M. Mimura et al. Lecture Notes in Numer. Appl. Anal., Vol. 6 (Kinokuniya, 1983), pp. 59-85.
4. S. Kawashima and W.-A. Yong, Decay estimates for hyperbolic balance laws, preprint.
5. J. E. Mũoz Rivera and R. Racke, Global stability for damped Timoshenko systems, Discr. Cont. Dyn. Syst. 9 (2003) 1625-1639.
6. Y. Shizuta and S. Kawashima, Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation, Hokkaido Math. J. 14 (1985) 249-275.
7. S. Taylor, A smoothing property of a, hyperbolic system and boundary controllability, J. Comp. Appl. Math. 114 (2000) 23-40.
8. S. Taylor and S. Yau, Boundary control of a rotating Timoshenko beam, ANZIAM J. 44 (2003) 143-184.
9. T. Umeda, S. Kawashima and Y. Shizuta, On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics, Jpn J. Appl. Math. 1 (1984) 435-457.