Results 41 to 50 of about 1,170 (90)

Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak [PDF]

Communications in Mathematical Physics 335 (2) (2015) 671-712, 2013
We develop a very general theory on the regularized approximate invisibility cloaking for the wave scattering governed by the Helmholtz equation in any space dimensions via the approach of transformation optics.
arxiv   +1 more source

Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

Advances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
doaj   +1 more source

Verification of a variational source condition for acoustic inverse medium scattering problems

, 2015
This paper is concerned with the classical inverse scattering problem to recover the refractive index of a medium given near or far field measurements of scattered time-harmonic acoustic waves.
Hohage, Thorsten, Weidling, Frederic
core   +1 more source

The ill-posedness of the (non-)periodic traveling wave solution for the deformed continuous Heisenberg spin equation

Open Mathematics
Based on an equivalent derivative non-linear Schrödinger equation, we derive some periodic and non-periodic two-parameter solutions of the deformed continuous Heisenberg spin (DCHS) equation.
Zhong Penghong, Chen Xingfa, Chen Ye
doaj   +1 more source

Unique compact representation of magnetic fields using truncated solid harmonic expansions

European Journal of Applied Mathematics
Precise knowledge of magnetic fields is crucial in many medical imaging applications such as magnetic resonance imaging (MRI) or magnetic particle imaging (MPI), as they form the foundation of these imaging systems. Mathematical methods are essential for
Marija Boberg, Tobias Knopp, Martin Möddel   +2 more
doaj   +1 more source

On the Schrodinger-Maxwell equations under the effect of a general nonlinear term [PDF]

, 2009
In this paper we prove the existence of a nontrivial solution to the nonlinear Schrodinger-Maxwell equations in $\R^3,$ assuming on the nonlinearity the general hypotheses introduced by Berestycki & Lions.
arxiv   +1 more source

Uniqueness of one-dimensional N\'eel wall profiles

, 2015
We study the domain wall structure in thin uniaxial ferromagnetic films in the presence of an in-plane applied external field in the direction normal to the easy axis.
Muratov, Cyrill B., Yan, Xiaodong
core   +1 more source

Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation [PDF]

arXiv, 2013
One of important problems in mathematical physics concerns derivation of point dynamics from field equations. The most common approach to this problem is based on WKB method. Here we describe a different method based on the concept of trajectory of concentration.
arxiv  

Asymptotic behavior of the Schr\"odinger-Debye system with refractive index of square wave amplitude

, 2017
We obtain local well-posedness for the one-dimensional Schr\"odinger-Debye interactions in nonlinear optics in the spaces $L^2\times L^p,\; 1\le p < \infty$. When $p=1$ we show that the local solutions extend globally. In the focusing regime, we consider
Corcho, Adan J., Cordero, Juan C.
core   +1 more source

Strichartz estimates for the magnetic Schrödinger equation [PDF]

arXiv, 2005
We prove global, scale invariant Strichartz estimates for the linear magnetic Schr\"odinger equation with small time dependent magnetic field. This is done by constructing an appropriate parametrix. As an application, we show a global regularity type result for Schr\"odinger maps in dimensions $n\geq 6$.
arxiv