The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics.
Avalos, George (1996)
Abstract and Applied Analysis
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Displaying similar documents to “Uniform stabilization of a coupled structural acoustic system by boundary dissipation.”
The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics.
Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs.
Bucci, F., Lasiecka, I., Triggiani, R. (2002)
Abstract and Applied Analysis
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-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
Lasiecka, I., Triggiani, R. (2003)
Abstract and Applied Analysis
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Uniform stabilization of a viscous numerical approximation for a locally damped wave equation
Arnaud Münch, Ademir Fernando Pazoto (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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This work is devoted to the analysis of a viscous finite-difference space semi-discretization of a locally damped wave equation in a regular 2-D domain. The damping term is supported in a suitable subset of the domain, so that the energy of solutions of the damped continuous wave equation decays exponentially to zero as time goes to infinity. Using discrete multiplier techniques, we prove that adding a suitable vanishing numerical viscosity term leads to a uniform (with respect to the...
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Irena Lasiecka, Roberto Triggiani (2008)
Control and Cybernetics
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Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation.
Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
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Transmission problem in thermoelasticity.
Alves, Margareth S., Rivera, Jaime E.Muñoz, Sepúlveda, Mauricio, Villagrán, Octavio Vera (2011)
Boundary Value Problems [electronic only]
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Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
Mohammed Aassila (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.