Approximate solutions of the incompressible Euler equations with no concentrations
Approximate traveling wave solutions of coupled Whitham-Broer-Kaup shallow water equations by homotopy analysis method.
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, and . Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.
Approximation by Finite Differences of the Propagation of Acoustic Waves in Stratified Media.
Approximation des valeurs propres de certaines perturbations singulières et application à l'opérateur de Dirac
Approximation et temps de vie des solutions des équations d'Euler isentropiques en dimension deux d'espace
Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method
By means of eigenvalue error expansion and integral expansion techniques, we propose and analyze the stream function-vorticity-pressure method for the eigenvalue problem associated with the Stokes equations on the unit square. We obtain an optimal order of convergence for eigenvalues and eigenfuctions. Furthermore, for the bilinear finite element space, we derive asymptotic expansions of the eigenvalue error, an efficient extrapolation and an a posteriori error estimate for the eigenvalue. Finally,...
Approximation of Burgers' equation by pseudo-spectral methods
Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity.
Approximation semi-classique de l'équation de Heisenberg
Approximations of effective coefficients in stochastic homogenization
Aproximación clásica de la ecuación de Dirac cuando
Arbitrary growth and oscillation versus finite time blow up in nonlinear Schrödinger equations
Arithmetic features of rational conformal field theory
Aspects of Long-time Behaviour of Solutions of Non-linear Hamiltonian Evolution Equations.
Asymmetric bound states of differential equations in nonlinear optics
Asymmetric heteroclinic double layers
Let be a non-negative function of class from to , which vanishes exactly at two points and . Let be the set of functions of a real variable which tend to at and to at and whose one dimensional energyis finite. Assume that there exist two isolated minimizers and of the energy over . Under a mild coercivity condition on the potential and a generic spectral condition on the linearization of the one-dimensional Euler–Lagrange operator at and , it is possible to prove...
Asymmetric heteroclinic double layers
Let W be a non-negative function of class C3 from to , which vanishes exactly at two points a and b. Let S1(a, b) be the set of functions of a real variable which tend to a at -∞ and to b at +∞ and whose one dimensional energy is finite. Assume that there exist two isolated minimizers z+ and z- of the energy E1 over S1(a, b). Under a mild coercivity condition on the potential W and a generic spectral condition on the linearization of the one-dimensional Euler–Lagrange operator at z+ and...
Asymptotic analysis for the Ginzburg-Landau equations
Questo lavoro costituisce un survey sui problemi di limite asintotico per le soluzioni delle equazioni di Ginzburg-Landau in dimensione due. Vengono presentati essenzialmente i risultati di [BBH] e [BR] sulla formazione ed il comportamento asintotico dei vortici in un dominio bidimensionale nel caso fortemente repulsivo (large limit).
Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1
2000 Mathematics Subject Classification: 35Q02, 35Q05, 35Q10, 35B40.We consider the stationary one dimensional Schrödinger-Poisson system on a bounded interval with a background potential describing a quantum well. Using a partition function which forces the particles to remain in the quantum well, the limit h®0 in the nonlinear system leads to a uniquely solved nonlinear problem with concentrated particle density. It allows to conclude about the convergence of the solution.