Asymptotics for nonlinear evolution equation with module-fractional derivative on a half-line.
Asymptotics for some nonlinear damped wave equation : finite time convergence versus exponential decay results
Asymptotics for the minimization of a Ginzburg-Landau energy in n dimensions
We prove that minimizers of the functional , ⊂ , n ≥ 3, which satisfy the Dirichlet boundary condition on for g: → with zero topological degree, converge in and for any α<1 - upon passing to a subsequence - to some minimizing n-harmonic map. This is a generalization of an earlier result obtained for n=2 by Bethuel, Brezis, and Hélein. An example of nonunique asymptotic behaviour (which cannot occur in two dimensions if deg g = 0) is presented.
Asymptotics for , II. Scattering theory
Asymptotics for I. Global existence and decay
Asymptotics of parabolic equations with possible blow-up
We describe the long-time behaviour of solutions of parabolic equations in the case when some solutions may blow up in a finite or infinite time. This is done by providing a maximal compact invariant set attracting any initial data for which the corresponding solution does not blow up. The abstract result is applied to the Frank-Kamenetskii equation and the N-dimensional Navier-Stokes system with small external force.
Asymptotics of sums of subcoercive operators
We examine the asymptotic, or large-time, behaviour of the semigroup kernel associated with a finite sum of homogeneous subcoercive operators acting on a connected Lie group of polynomial growth. If the group is nilpotent we prove that the kernel is bounded by a convolution of two Gaussians whose orders correspond to the highest and lowest orders of the homogeneous subcoercive components of the generator. Moreover we establish precise asymptotic estimates on the difference of the kernel and the...
Asymptotics of the Nodal Lines of Solutions of 2-Dimensional Schrödinger Equations.
Asymptotics of time harmonic solutions to a thin ferroelectric model.
Asypmtotic Behaviour in Lr for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.
Attracteurs compacts pour des problèmes d'évolution sans unicité
Attractivity of nonlinear impulsive delay differential equations.
Attractors for a class of doubly nonlinear parabolic systems.
Attractors of a Schrödinger-Poisson system
Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials.
Attractors of multivalued semiflows generated by differential inclusions and their approximations.
Attractors of nonautonomous and stochastic differential inclusions
Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
We establish the existence, uniqueness and main properties of the fundamental solutions for the fractional porous medium equation introduced in [51]. They are self-similar functions of the form with suitable and . As a main application of this construction, we prove that the asymptotic behaviour of general solutions is represented by such special solutions. Very singular solutions are also constructed. Among other interesting qualitative properties of the equation we prove an Aleksandrov reflection...
Behavior of critical solutions of a nonlocal hyperbolic problem in Ohmic heating of foods.