메뉴 건너뛰기




Volumn 13, Issue 1, 1999, Pages 71-76

Nonlinear boundary stabilization of an inhomogeneous and anisotropic thermoelasticity system

Author keywords

Energy decay; Perturbed energy functional; Thermoelasticity system

Indexed keywords


EID: 0010569336     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00147-0     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 0347169677 scopus 로고    scopus 로고
    • Stability in inhomogeneous and anisotropic thermoelasticity
    • J.E. Muñoz Rivera and M.L. Oliveira, Stability in inhomogeneous and anisotropic thermoelasticity, Bolletino U.M.I. 7 (11-A), 115-127, (1997).
    • (1997) Bolletino U.M.I. , vol.7 , Issue.11 A , pp. 115-127
    • Muñoz Rivera, J.E.1    Oliveira, M.L.2
  • 2
    • 0001885577 scopus 로고
    • A direct method for the boundary stabilization of the wave equation
    • V. Komornik and E. Zuazua, A direct method for the boundary stabilization of the wave equation, J. Math. Pures et Appl. 69, 33-54, (1990).
    • (1990) J. Math. Pures et Appl. , vol.69 , pp. 33-54
    • Komornik, V.1    Zuazua, E.2
  • 3
    • 0000673777 scopus 로고
    • On the existence and the asymptotic stability of solution to the equation of linear thermoelasticity
    • C.M. Dafermos, On the existence and the asymptotic stability of solution to the equation of linear thermoelasticity, Arch. Rational Mech. Anal. 29, 241-271, (1968).
    • (1968) Arch. Rational Mech. Anal. , vol.29 , pp. 241-271
    • Dafermos, C.M.1
  • 4
    • 0031150097 scopus 로고    scopus 로고
    • Boundary control of a linear thermoelastic beam
    • S.W. Hansen and B.Y. Zhang, Boundary control of a linear thermoelastic beam, J. Math. Anal. Appl. 210, 182-205, (1997).
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 182-205
    • Hansen, S.W.1    Zhang, B.Y.2
  • 6
    • 0000698319 scopus 로고
    • On the energy decay of a linear thermoelastic bar and plate
    • J.U. Kim, On the energy decay of a linear thermoelastic bar and plate, SIAM J. Math. Anal. 33, 889-899, (1992).
    • (1992) SIAM J. Math. Anal. , vol.33 , pp. 889-899
    • Kim, J.U.1
  • 7
    • 0002764065 scopus 로고
    • Energy decay rates in linear thermoelasticity
    • J.E. Muñoz Rivera, Energy decay rates in linear thermoelasticity, Funkcial. Ekva. 35, 19-30, (1992).
    • (1992) Funkcial. Ekva. , vol.35 , pp. 19-30
    • Muñoz Rivera, J.E.1
  • 8
    • 0001314893 scopus 로고
    • Smoothing properties, decay, and global existence of solutions to nonlinear coupled systems of thermoelastic type
    • J.E. Muñoz Rivera and R. Racke, Smoothing properties, decay, and global existence of solutions to nonlinear coupled systems of thermoelastic type, SIAM J. Math. Anal. 26, 1547-1563, (1995).
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1547-1563
    • Muñoz Rivera, J.E.1    Racke, R.2
  • 9
    • 0032141799 scopus 로고    scopus 로고
    • Multidimensional contact problems in thermoelasticity
    • J.E. Muñoz Rivera and R. Racke, Multidimensional contact problems in thermoelasticity, SIAM J. Appl. Math. 58, 1307-1337, (1998).
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1307-1337
    • Muñoz Rivera, J.E.1    Racke, R.2
  • 10
    • 84975953951 scopus 로고
    • On the time asymptotic behaviour of solution in thermoelasticity
    • R. Racke, On the time asymptotic behaviour of solution in thermoelasticity, Proc. Royal Soc. Edinburgh 107 (A), 289-298, (1989).
    • (1989) Proc. Royal Soc. Edinburgh , vol.107 , Issue.A , pp. 289-298
    • Racke, R.1
  • 11
    • 0019664632 scopus 로고
    • Global existence, uniqueness and asymptotic stability of classical smooth solutions in one dimensional nonlinear thermoelasticity
    • M. Slemrod, Global existence, uniqueness and asymptotic stability of classical smooth solutions in one dimensional nonlinear thermoelasticity, Arch. Ratio. Math. Mech. 76, 97-133, (1981).
    • (1981) Arch. Ratio. Math. Mech. , vol.76 , pp. 97-133
    • Slemrod, M.1
  • 12
    • 0000326783 scopus 로고
    • Contrôlabilité exacte des solutions de l'équation des ondes en présence des singularités
    • P. Grisvard, Contrôlabilité exacte des solutions de l'équation des ondes en présence des singularités, J. Math. Pures et Appl. 68, 215-259, (1989).
    • (1989) J. Math. Pures et Appl. , vol.68 , pp. 215-259
    • Grisvard, P.1
  • 13
    • 85037519092 scopus 로고    scopus 로고
    • private communication
    • M. Moussaoui, private communication.
    • Moussaoui, M.1
  • 14
    • 84972506618 scopus 로고
    • Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping
    • I. Lasiecka and D. Tataru, Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping, Differential Integral Equations 6, 507-533, (1993).
    • (1993) Differential Integral Equations , vol.6 , pp. 507-533
    • Lasiecka, I.1    Tataru, D.2
  • 15
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary
    • C. Bardos, G. Lebeau and J. Rauch, Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Control Optim. 30, 1024-1065, (1992).
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.