Results 41 to 50 of about 700 (91)

Fractional parabolic problems with a nonlocal initial condition

Moroccan Journal of Pure and Applied Analysis, 2017
In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B., Boucherif A., Touaoula T. M.   +2 more
doaj   +1 more source

Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain

Open Mathematics, 2017
A semi-linear boundary-value problem with nonlinear Robin boundary conditions is considered in a thin 3D aneurysm-type domain that consists of thin curvilinear cylinders that are joined through an aneurysm of diameter 𝓞(ε). Using the multi-scale analysis,
Mel’nyk Taras A., Klevtsovskiy Arsen V.   +1 more
doaj   +1 more source

The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit

, 2014
In the present paper we study the following scaled nonlinear Schr\"odinger equation (NLS) in one space dimension: \[ i\frac{d}{dt} \psi^{\varepsilon}(t) =-\Delta\psi^{\varepsilon}(t) + \frac{1}{\epsilon}V\left(\frac{x}{\epsilon}\right)|\psi^{\varepsilon}(
Cacciapuoti, C., Finco, D., Noja, D., Teta, A.   +3 more
core   +1 more source

Semiclassical stationary states for nonlinear Schr\"odinger equations under a strong external magnetic field [PDF]

, 2015
We construct solutions to the nonlinear magnetic Schr\"odinger equation $$ \left\{ \begin{aligned} - \varepsilon^2 \Delta_{A/\varepsilon^2} u + V u &= \lvert u\rvert^{p-2} u & &\text{in}\ \Omega,\\ u &= 0 & &\text{on}\ \partial\Omega, \end{aligned}
Di Cosmo, Jonathan, Van Schaftingen, Jean   +1 more
core   +2 more sources

Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit

Open Mathematics, 2018
The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting, Wang Shu, Xu Wen-Qing, Liu Mingshuo   +3 more
doaj   +1 more source

Convergence of phase-field approximations to the Gibbs-Thomson law [PDF]

, 2007
We prove the convergence of phase-field approximations of the Gibbs-Thomson law. This establishes a relation between the first variation of the Van-der-Waals-Cahn-Hilliard energy and the first variation of the area functional.
Röger, M., Tonegawa, Y.
core   +6 more sources

The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations

, 1998
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 293-318, 1998.
E. N. Dancer, K. Y. Lam, S. Yan
wiley   +1 more source

Asymptotic analysis of the linearized Navier-Stokes equations in a channel

Differential and Integral Equations, 1995
In this article we study and derive explicit formulas for the boundary layers occurring in the linearized channel flows in the limit of small viscosity. Our study is based on classical boundary layer techniques combined with a new global treatment of the
R. Temam, Xiaoming Wang
semanticscholar   +1 more source

Semiclassical Asymptotics for the Maxwell - Dirac System

, 2003
We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order $O(\sqrt{\epsilon})$ is performed, where the small semiclassical ...
Bechouche, Bolte, Booth, C. Sparber, Chadam, Chadam, Donat, Esteban, Esteban, Georgiev, Gérard, Grenier, Gross, Joly, Kunze, Lax, Masmoudi, P. Markowich, Robert, Sparber, Spohn   +20 more
core   +3 more sources

Blow up solutions for two-dimensional semilinear elliptic problem of Liouville type with nonlinear gradient terms

Demonstratio Mathematica
This work investigates the existence of singular limit solutions for nonlinear elliptic systems. Our main approach focuses on using the nonlinear domain decomposition method to establish a new Liouville-type result.
Baraket Sami, Ghorbal Anis Ben, Mahmoudi Fethi, Mtiri Foued   +3 more
doaj   +1 more source