Stability in the wave equation coupled with heat flow.

H. MORIMOTO

Displaying similar documents to “Stability in the wave equation coupled with heat flow.”

Logarithmic decay of the energy for an hyperbolic-parabolic coupled system

Ines Kamoun Fathallah (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper is devoted to the study of a coupled system which consists of a wave equation and a heat equation coupled through a transmission condition along a steady interface. This system is a linearized model for fluid-structure interaction introduced by Rauch, Zhang and Zuazua for a simple transmission condition and by Zhang and Zuazua for a natural transmission condition. Using an abstract theorem of Burq and a new Carleman estimate proved near the interface, we complete the results...

On the Accuracy of the Analog Solution of Heat Conduction Problems Involving Newtonian Cooling.

P. RAZELOS (1969)

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On the Stability of Bilinear-Constant Velocity-Pressure Finite Elements.

R.A. Nicolaides, J.M. Boland (1984)

Numerische Mathematik

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A general decay estimate for a finite memory thermoelastic Bresse system

Cyril Dennis Enyi, Soh Edwin Mukiawa (2022)

Applications of Mathematics

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This work considers a Bresse system with viscoelastic damping on the vertical displacement and heat conduction effect on the shear angle displacement. A general stability result with minimal condition on the relaxation function is obtained. The system under investigation, to the best of our knowledge, is new and has not been studied before in the literature. What is more interesting is the fact that our result holds without the imposition of the equal speed of wave propagation condition,...