Results 31 to 40 of about 1,170 (90)
Permittivity optimization for Maxwell's eigenvalues [PDF]
arXiv, 2023 We formulate an optimization problem for the dependence of the eigenvalues of Maxwell's equations in a cavity upon variation of the electric permittivity and we prove a corresponding Maximum Principle.
arxiv
Comparison of linear and non-linear monotononicity-based shape reconstruction using exact matrix characterizations [PDF]
, 2017 Detecting inhomogeneities in the electrical conductivity is a special case of the inverse problem in electrical impedance tomography, that leads to fast direct reconstruction methods.
Garde, Henrik
core +2 more sources
, 2016 In this paper, the F-expansion method has been used to find several types of exact solutions of the higher-order nonlinear Schrödinger (HONLS) equation with cubic-quintic nonlinearities, self-steeping and self-frequency shift effects which describes the ...
M. M. Hassan +2 more
semanticscholar +1 more source
A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns
, 2018 We introduce a variational method for demodulating phase maps from fringe patterns. This new method is based on the mean curvature of the level sets of the phase surface that is used for regularization.
Carlos Brito-Loeza +3 more
semanticscholar +1 more source
Quantization effects for multi-component Ginzburg-Landau vortices
Advanced Nonlinear StudiesIn this paper, we are concerned with n-component Ginzburg-Landau equations on R2 ${\mathbb{R}}^{2}$ . By introducing a diffusion constant for each component, we discuss that the n-component equations are different from n-copies of the single Ginzburg ...
Hadiji Rejeb, Han Jongmin, Sohn Juhee
doaj +1 more source
Klein-Gordon-Maxwell System in a bounded domain
, 2008 This paper is concerned with the Klein-Gordon-Maxwell system in a bounded spatial domain. We discuss the existence of standing waves $\psi=u(x)e^{-i\omega t}$ in equilibrium with a purely electrostatic field $\mathbf{E}=-\nabla\phi(x)$.
d'Avenia, Pietro +2 more
core +2 more sources
On the blow-up threshold for weakly coupled nonlinear Schroedinger equations
, 2007 We study the Cauchy problem for a system of two coupled nonlinear focusing Schroedinger equations arising in nonlinear optics. We discuss when the solutions are global in time or blow-up in finite time.
Fanelli, Luca, Montefusco, Eugenio
core +1 more source
A concentration phenomenon for semilinear elliptic equations
, 2012 For a domain $\Omega\subset\dR^N$ we consider the equation $ -\Delta u + V(x)u = Q_n(x)\abs{u}^{p-2}u$ with zero Dirichlet boundary conditions and $p\in(2,2^*)$.
A.V. Buryak +16 more
core +1 more source
Advanced Nonlinear StudiesIn this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia +2 more
doaj +1 more source
Results in Physics, 2020 The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman +1 more
doaj