Mildly dissipative nonlinear Timoshenko systems - Global existence and exponential stability

Journal of Mathematical Analysis and Applications

Volumn 276, Issue 1, 2002, Pages 248-278

  Muñoz Rivera, Jaime E ^a,c   Racke, Reinhard ^b  

^a LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^b UNIVERSITY OF KONSTANZ   (Germany)

^c FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036957759     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00436-5     Document Type: Article

References (8)

1. F. Ammar Khodja, A. Bader, A. Benabdallah, Dynamic stabilization of systems via decoupling techniques, ESAIM: Control Optim. Calc. Var. 4 (1999) 577-593.
2. F. Ammar Khodja, A. Benabdallah, J.E. Muñoz Rivera, R. Racke, Energy decay for Timoshenko systems of memory type, Konstanzer Schr. Math. Inf. 131 (2000).
3. S. Chen, K. Liu, Z. Liu, Spectrum and stability for elastic systems with global or local Kelvin-Voigt damping, SIAM J. Appl. Math. 59 (1998) 651-668.
4. S. Jiang, R. Racke, Evolution Equations in Thermoelasticity, in: Pitman Monogr. Surveys Pure Appl. Math., Vol. 112, Chapman and Hall, Boca Raton, 2000.
5. Z. Liu, S. Zheng, Semigroups Associated with Dissipative Systems, in: Pitman Research Notes Math., Vol. 398, Chapman and Hall, Boca Raton, 1999.
6. A.F. Neves, H. de Souza Ribeiro, O. Lopes, On the spectrum of evolution operators generated by hyperbolic systems, J. Funct. Anal. 67 (1986) 320-344.
7. R. Racke, Lectures on Nonlinear Evolution Equations. Initial Value Problems, in: Aspects of Math., Vol. E19, Vieweg and Sohn, Braunschweig, 1992.
8. A. Soulyane, Stabilisation de la poutre de Timoshenko, C. R. Acad. Sci. Paris Sér 1 328 (1999) 731-734.