General stabilization for the full von Karman system with a thermo-viscoelastic damping and a frictional damping

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참고문헌 (26)

1. F. D. Araruna, "Asymptotics and stabilization for dynamic models of nonlinear beams", Proc. Estonian Acad. Sci, 59(2), pp.150~155 (2010)
2. Bisognin E., "On exponential stability for Von Karman equations in the presence of thermal e ects", ~ (1996)
3. A. Benabdallah, "Exponential decay rates for a full von K´arm´an system of dynamic thermoelasticity", J. Diff. Eqns, 160, pp.51~93 (2000)
4. Racke. R, "Existence and regularity of solutions to nonlinear thermoelastic systems", Proceedings of the Workshop on qualitative aspects and applications of nonlinear evolution eqns (1996)
5. A. Favini, "Global existence, uniqueness and regularity of solutions to a von K´arm´an system with nonlinear boundary dissipatio", Diff. Integ. Eqns, 9, pp.267~294 (1996)
6. Dafermos C, "On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity", Arch, Rational Mech. Anal, 29, pp.241~271 (1968)
7. A. Djebabla, "Exponential stabilization of the full von K´arm´an beam by a thermal effect and a frictional damping", Georgian Math. J, 20, pp.427438~ (2013)
8. A. Djebabla, "Exponential stabilization of the Timoshenko system by a thermal effect with an oscillating kernel", Math. Comput. Modelling, 54(1-2), pp.301314~ (2011)
9. Gibson J. S., "Approximation in control of thermoelasticity systems", SIAM J. Control and Optimization, 30(4), pp.1163~1189 (1992)
10. A. E. Green, "A re-examination of the basic postulates of thermodynamics", Proc. Royal Soc. London, A, 432, pp.171~194 (1991)
11. A. E. Green, "On undamped heat waves in an elastic solid", J. Thermal Stresses, 15, pp.253~264 (1992)
12. A. E. Green, "Thermoelasticity without energy dissipation", J. Elasticity, 31, pp.189~208 (1993)
13. A. E. Green, "A unified procedure for construction of theories of deformable media. I. Classical continuum physics. II. Generalized continua. III. Mixtures of interacting continua", Proc. Royal Soc. London, A, 448, pp.335~356 (1995)
14. M. A. Horn, "Uniform decay of weak solutions to a von K´arm´an plate with nonlinear dissipation", Differential Integral Equations, 7, pp.885~908 (1994)
15. M. A. Horn, "Global stabilization of a dynamic von K´arm´an plate with nonlinear boundary feedback", Appl. Math. Optim, 31, pp.57~84 (1995)
16. Boundary stabilization of thin plates, "J. Lagnese", SIAM Studies in Applied Mathematics, ~ (1989)
17. J. Lagnese, "Uniform asymptotic energy estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary", Nonlinear Anal., 16, pp.35~54 (1991)
18. J. Lagnese, "Modelling and stabiliztion of nonlinear plates", International Ser. Num. Math, 100, pp.247~264 (1991)
19. J. E. Lagnese, "Uniform stabilization of a nonlinear beam by nonlinear boundary feedback", J. Diff. Eqns, 91, pp.355~388 (1991)
20. J. E. Lagnese, "Modelling Analysis and Control of Thin Plates" (1988), RMA
21. I. Lasiecka, "Uniform stabilizability of a full von K´arm´an system with nonlinear boundary feedback", SIAM J. Control Optim, 36(4), pp.1376~1422 (1998)
22. I. Lasiecka, "Uniform decay rates for a full von K´arm´an system of dynamics thermoelasticity with free boundary conditions and partial boundary dissipation", Comm. in Partial Diff. Eqns, 24(9-10), pp.1801~1847 (1999)
23. G. Perla Menzala, "Stabilization of Berger-Timoshenko’s equation as limit of the uniform stabilization of the von K´arm´an system of beams and plates", ESAIM, Mathematical Modelling and Numerical Analysis, 36(4), pp.657~691 (2002)
24. G. Perla Menzala, "Explicit exponential decay rates for solutions of von K´arm´an’s system of thermoelastic plates", C. R. Acad. Sci. Paris, 324, pp.49~54 (1997)
25. G. Perla Menzala, "Timoshenko beam equation as limit of a nonlinear one-dimensional von K´arm´an system", Proc. Roy. Soc. Edinburg Sect. A, 130, pp.855~875 (2000)
26. J. Puel, "Boundary stabilization for the von K´arm´an equations", SIAM J. Control Optim, 33, pp.255~273 (1995)

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