Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain.
Decay of solutions of a system of nonlinear Klein-Gordon equations.
Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type
In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction which is known as degenerate if , and non-degenerate if . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of . Our aim is to extend the validity of previous results in [5] to both to the degenerate and non-degenerate cases of . We extend our results to equations with...
Decay of solutions of some nonlinear equations.
Decay of solutions of the elastic wave equation with a localized dissipation
Decay of solutions of the wave equation in the exterior of several convex bodies
We study the decay of solutions to the wave equation in the exterior of several strictly convex bodies. A sufficient condition for exponential decay of the local energy is expressed in terms of the period and the Poincare map of periodic rays in the exterior domain.
Decay of solutions to equations modelling incompressible bipolar non-Newtonian fluids.
Decay rates for solutions of a system of wave equations with memory.
Decay rates for solutions of a Timoshenko system with a memory condition at the boundary.
Decay rates for solutions of damped systems and generalized Fourier transforms.
Decay rates for solutions of degenerate parabolic systems.
Decay rates for solutions of semilinear wave equations with a memory condition at the boundary.
Decay rates of Volterra equations on ℝN
This note is concerned with the linear Volterra equation of hyperbolic type on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.
Decaying Entire Positive Solutions of Quasilinear Elliptic Equations.
Decaying positive entire solutions of the -Laplacian
Degeneration of effective diffusion in the presence of periodic potential
Derivation of the Reynolds equation for lubrication of a rotating shaft
In this paper, using the asymptotic expansion, we prove that the Reynolds lubrication equation is an approximation of the full Navier–Stokes equations in thin gap between two coaxial cylinders in relative motion. Boundary layer correctors are computed. The error estimate in terms of domain thickness for the asymptotic expansion is given. The corrector for classical Reynolds approximation is computed.
Description of regional blow-up in a porous-medium equation.
Development of small and large compressive pulses in two-phase flow
The evolutions of small and large compressive pulses are studied in a two-phase flow of gas and dust particles with a variable azimuthal velocity. The method of relatively undistorted waves is used to study the mechanical pulses of different types in a rotational, axisymmetric dusty gas. The results obtained are compared with that of nonrotating medium. Asymptotic expansion procedure is used to discuss the nonlinear theory of geometrical acoustics. The influence of the solid particles and the rotational...
Diffusion limit of the Lorentz model : asymptotic preserving schemes
This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization...