Asymptotic behavior of solutions of a system of viscous conservation laws.
Asymptotic Behavior of Solutions of Parabolic Equations with Discontinuous Coefficients.
Asymptotic behavior of solutions of semilinear elliptic equations on an unbounded strip.
Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions.
Asymptotic Behavior of Solutions of - ...v + qv = ...v and the Distance of ...to the Essential Spectrum.
Asymptotic behavior of solutions on a thin plastic plate.
Asymptotic behavior of solutions to a reaction-diffusion system with a cross diffusion matrix on unbounded domains.
Asymptotic behavior of solutions to a quasilinear hyperbolic with nonlinear damping.
Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions.
Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
Asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis–Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order −1.
Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
Asymptotic behavior of solutions to wave equations with a memory condition at the boundary.
Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations.
Asymptotic behavior of the numerical solutions of time-delayed reaction diffusion equations with non-monotone reaction term
This paper is concerned with the asymptotic behavior of the finite difference solutions of a class of nonlinear reaction diffusion equations with time delay. By introducing a pair of coupled upper and lower solutions, an existence result of the solution is given and an attractor of the solution is obtained without monotonicity assumptions on the nonlinear reaction function. This attractor is a sector between two coupled quasi-solutions of the corresponding “steady-state” problem, which are obtained...
Asymptotic behavior of the numerical solutions of time-delayed reaction diffusion equations with non-monotone reaction term
This paper is concerned with the asymptotic behavior of the finite difference solutions of a class of nonlinear reaction diffusion equations with time delay. By introducing a pair of coupled upper and lower solutions, an existence result of the solution is given and an attractor of the solution is obtained without monotonicity assumptions on the nonlinear reaction function. This attractor is a sector between two coupled quasi-solutions of the corresponding “steady-state" problem, which are...
Asymptotic behavior of the solution of quasilinear parametric variational inequalities in a beam with a thin neck.
Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model
This paper deals with the evolution Fokker-Planck-Smoluchowski configurational probability diffusion equation for the FENE dumbbell model in dilute polymer solutions. We prove the exponential convergence in time of the solution of this equation to a corresponding steady-state solution, for arbitrary velocity gradients.
Asymptotic behavior of the solutions to a one-dimensional motion of compressible viscous fluids
We study the one-dimensional motion of the viscous gas represented by the system , , with the initial and the boundary conditions , . We are concerned with the external forces, namely the function , which do not become small for large time . The main purpose is to show how the solution to this problem behaves around the stationary one, and the proof is based on an elementary -energy method.
Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
Asymptotic behaviour for a diffusion equation governed by nonlocal interactions.