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Volumn 341, Issue 2, 2008, Pages 1253-1270

On a structural acoustic model which incorporates shear and thermal effects in the structural component

Author keywords

Feedback boundary controls; Reissner Mindlin plate equations; Structural acoustic model; Thermal effects; Uniform stabilization

Indexed keywords


EID: 38949192489     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.10.073     Document Type: Article
Times cited : (28)

References (26)
  • 1
    • 0000276432 scopus 로고    scopus 로고
    • The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics
    • Avalos G. The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics. Abstr. Appl. Anal. 1 2 (1996) 203-217
    • (1996) Abstr. Appl. Anal. , vol.1 , Issue.2 , pp. 203-217
    • Avalos, G.1
  • 2
    • 0041382720 scopus 로고    scopus 로고
    • Exact controllability of structural acoustic interactions
    • Avalos G., and Lasiecka I. Exact controllability of structural acoustic interactions. J. Math. Pures Appl. 82 (2003) 1047-1073
    • (2003) J. Math. Pures Appl. , vol.82 , pp. 1047-1073
    • Avalos, G.1    Lasiecka, I.2
  • 6
    • 33646099145 scopus 로고    scopus 로고
    • On a structural acoustic model with interface a Reissner-Mindlin plate or a Timoshenko beam
    • Grobbelaar-Van Dalsen M. On a structural acoustic model with interface a Reissner-Mindlin plate or a Timoshenko beam. J. Math. Anal. Appl. 320 (2006) 121-144
    • (2006) J. Math. Anal. Appl. , vol.320 , pp. 121-144
    • Grobbelaar-Van Dalsen, M.1
  • 7
    • 33748881451 scopus 로고    scopus 로고
    • Uniform stabilization of a nonlinear structural acoustic model with a Timoshenko beam interface
    • Grobbelaar-Van Dalsen M. Uniform stabilization of a nonlinear structural acoustic model with a Timoshenko beam interface. Math. Methods Appl. Sci. 29 (2006) 1749-1766
    • (2006) Math. Methods Appl. Sci. , vol.29 , pp. 1749-1766
    • Grobbelaar-Van Dalsen, M.1
  • 9
    • 0031677324 scopus 로고    scopus 로고
    • Sharp trace regularity for the solutions of the equations of dynamic elasticity
    • Horn M.A. Sharp trace regularity for the solutions of the equations of dynamic elasticity. J. Math. Systems, Estim. Control 8 2 (1998) 217-219
    • (1998) J. Math. Systems, Estim. Control , vol.8 , Issue.2 , pp. 217-219
    • Horn, M.A.1
  • 10
    • 0001460023 scopus 로고    scopus 로고
    • Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity
    • Horn M.A. Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity. J. Math. Anal. Appl. 223 (1998) 126-150
    • (1998) J. Math. Anal. Appl. , vol.223 , pp. 126-150
    • Horn, M.A.1
  • 14
    • 0000688307 scopus 로고
    • Exact controllability of the wave equation with Neumann boundary control
    • Lasiecka I., and Triggiani R. Exact controllability of the wave equation with Neumann boundary control. Appl. Math. Optim. 19 (1989) 243-290
    • (1989) Appl. Math. Optim. , vol.19 , pp. 243-290
    • Lasiecka, I.1    Triggiani, R.2
  • 15
    • 0026838533 scopus 로고
    • Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
    • Lasiecka I., and Triggiani R. Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions. Appl. Math. Optim. 25 (1992) 189-224
    • (1992) Appl. Math. Optim. , vol.25 , pp. 189-224
    • Lasiecka, I.1    Triggiani, R.2
  • 16
    • 84972506618 scopus 로고
    • Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping
    • Lasiecka I., and Tataru D. Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping. Differential Integral Equations 6 (1993) 507-533
    • (1993) Differential Integral Equations , vol.6 , pp. 507-533
    • Lasiecka, I.1    Tataru, D.2
  • 17
    • 0032338703 scopus 로고    scopus 로고
    • Mathematical control theory in structural acoustic problems
    • Lasiecka I. Mathematical control theory in structural acoustic problems. Math. Models Methods Appl. Sci. 8 7 (1998) 1119-1153
    • (1998) Math. Models Methods Appl. Sci. , vol.8 , Issue.7 , pp. 1119-1153
    • Lasiecka, I.1
  • 18
    • 0033074721 scopus 로고    scopus 로고
    • Boundary stabilization of a 3-dimensional structural acoustic model
    • Lasiecka I. Boundary stabilization of a 3-dimensional structural acoustic model. J. Math. Pures Appl. 78 (1999) 203-232
    • (1999) J. Math. Pures Appl. , vol.78 , pp. 203-232
    • Lasiecka, I.1
  • 19
    • 0033473913 scopus 로고    scopus 로고
    • Uniform decay rates for full Von Karman system of dynamic thermoelasicity with free boundary conditions and partial boundary dissipation
    • Lasiecka I. Uniform decay rates for full Von Karman system of dynamic thermoelasicity with free boundary conditions and partial boundary dissipation. Comm. Partial Differential Equations 24 9-10 (1999) 1801-1847
    • (1999) Comm. Partial Differential Equations , vol.24 , Issue.9-10 , pp. 1801-1847
    • Lasiecka, I.1
  • 21
    • 0034262502 scopus 로고    scopus 로고
    • Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface
    • Lasiecka I., and Lebiedzik C. Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface. Appl. Math. Optim. 42 (2000) 127-167
    • (2000) Appl. Math. Optim. , vol.42 , pp. 127-167
    • Lasiecka, I.1    Lebiedzik, C.2
  • 22
    • 0036568076 scopus 로고    scopus 로고
    • Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects
    • Lasiecka I., and Lebiedzik C. Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects. Nonlinear Anal. 49 (2002) 703-735
    • (2002) Nonlinear Anal. , vol.49 , pp. 703-735
    • Lasiecka, I.1    Lebiedzik, C.2
  • 23
    • 0036184704 scopus 로고    scopus 로고
    • Mathematical Control Theory of Coupled PDE's
    • SIAM, Philadelphia
    • Lasiecka I. Mathematical Control Theory of Coupled PDE's. NSF-CBMS Lecture Notes (2002), SIAM, Philadelphia
    • (2002) NSF-CBMS Lecture Notes
    • Lasiecka, I.1


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