Asymptotic behaviour for a diffusion equation governed by nonlocal interactions.
Asymptotic behaviour for a parabolic system with nonlinear boundary conditions.
Asymptotic behaviour for a phase field model in higher order Sobolev spaces.
In this paper we analyze the long time behavior of a phase-field model by showing the existence of global compact attractors in the strong norm of high order Sobolev spaces.
Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity
The asymptotic behaviour for of the solutions to a one-dimensional model for thermo-visco-plastic behaviour is investigated in this paper. The model consists of a coupled system of nonlinear partial differential equations, representing the equation of motion, the balance of the internal energy, and a phase evolution equation, determining the evolution of a phase variable. The phase evolution equation can be used to deal with relaxation processes. Rate-independent hysteresis effects in the strain-stress...
Asymptotic behaviour for Schrödinger equations with a quadratic nonlinearity in one-space dimension.
Asymptotic behaviour for the solution of the compressible Navier-Stokes equation, when the compressibility goes to zero
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation
Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue
We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant’s Nodal theorem.
Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue
We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant's Nodal theorem.
Asymptotic behaviour of a class of degenerate elliptic-parabolic operators: a unitary approach
We study the asymptotic behaviour of a sequence of strongly degenerate parabolic equations with , . The main problem is the lack of compactness, by-passed via a regularity result. As particular cases, we obtain G-convergence for elliptic operators , G-convergence for parabolic operators , singular perturbations of an elliptic operator and , possibly .
Asymptotic behaviour of an elastic body with a surface having small stuck regions
Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
Asymptotic behaviour of solutions for porous medium equation with periodic absorption.
Asymptotic behaviour of solutions of a nonlinear transport equation.
Asymptotic behaviour of solutions of matrix Burgers equation.
Asymptotic behaviour of solutions of some semilinear parabolic problems
Asymptotic behaviour of solutions of the nonlinear heat equation
Asymptotic behaviour of solutions to nonlinear parabolic equations with variable viscosity and geometric terms.
Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system
Asymptotic behaviour of stochastic quasi dissipative systems
We prove uniqueness of the invariant measure and the exponential convergence to equilibrium for a stochastic dissipative system whose drift is perturbed by a bounded function.