Results 31 to 40 of about 624 (44)

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

open access: yesOpen 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

open access: yesEuropean 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   +2 more
doaj   +1 more source

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

open access: yes, 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

Optimal Focusing for Monochromatic Scalar and Electromagnetic Waves

open access: yes, 2010
For monochromatic solutions of D'Alembert's wave equation and Maxwell's equations, we obtain sharp bounds on the sup norm as a function of the far field energy. The extremizer in the scalar case is radial.
JEFFREY RAUCH, Stein E.
core   +1 more source

Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices

open access: yes, 2003
We prove that, the initial value problem associated to u_{t} + i\alphau_{xx} + \beta u_{xxx} + i\gamma |u|^{2}u = 0, x,t \in R, is locally well-posed in Sobolev spaces H^{s} for s>-1 ...
Carvajal, Xavier
core   +1 more source

On the ferromagnetism equations with large variations solutions

open access: yes, 2006
We exhibit some large variations solutions of the Landau-Lifschitz equations as the exchange coefficient ε^2 tends to zero. These solutions are described by some asymptotic expansions which involve some internals layers by means of some large ...
Guès, Olivier, Sueur, Franck
core   +2 more sources

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