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Stabilization of a nonlinear Timoshenko beam
We study the asymptotic behavior of the system governing the nonlinear vibrations of a Timoshenko beam.
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Exponential decay of energy of vibrating strings with local viscoelasticity
In our previous paper [11], we studied the energy decay rate for an one-dimensional linear wave equation with the Kelvin-Voigt dam** presented on...
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Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows
A fluid which contains a solute is assumed to flow through a semi-infinite pipe. We study the problem of double diffusive convection for steady...
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Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited
A rigorous proof of the zero-relaxation-time limits in the hydrodynamic equations for plasmas is given. The equations consist of the Euler equations...
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Global existence and finite time blow up for a reaction-diffusion system
In this paper, we study the global existence and finite time blow up of positive solution for the initial-boundary value problem of a...
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Reaction diffusion systems with nonlinear boundary conditions
This paper deals with the existence and nonexistence of global positive solutions of reaction diffusion systems with nonlinear boundary conditions....
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Exponential stability and analyticity of abstract linear thermoelastic systems
This paper develops an abstract framework for analysis of linear thermoelastic systems. Linear semigroup theory is used to establish the...
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A degenerate reaction diffusion system modelling an optical biosensor
We investigate qualitative properties of a global semiflow associated with a degenerate reaction diffusion system with nonlinear boundary...
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An equivalence relation for the Ginzburg-Landau equations of superconductivity
Gauge invariance is used to establish an equivalence relation between solutions of the time-independent and time-dependent Ginzburg-Landau equations...
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Asymptotic stability of Riemann waves for conservation laws
We are concerned with the asymptotic behavior of entropy solutions of conservation laws. A new notion about the asymptotic stability of Riemann...
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Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction
Using an energy method we investigate the decay of end effects for a generalized heat conduction problem defined on a semi-infinite cylindrical...
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Phragmen-Lindelöf type results for second order quasilinear parabolic equations in ℝ2
In this paper Phragmen-Lindelöf type growth-decay estimates are derived for solutions of initial-boundary value problems associated with a class of...