Results 31 to 40 of about 674 (67)

A limit model for thermoelectric equations

, 2011
We analyze the asymptotic behavior corresponding to the arbitrary high conductivity of the heat in the thermoelectric devices. This work deals with a steady-state multidimensional thermistor problem, considering the Joule effect and both spatial and ...
A. Bulusu, A. Chakraborty, A.F. Ioffe, B.E.J. Dahlberg, C.E. Kenig, D. Medková, D. Zanger, D.K.C. MacDonald, D.V. Keller Jr, F. Chiarenza, G. Cimatti, G. Cimatti, J. Elschner, K. Groger, K. Groger, L. Consiglieri, L. Consiglieri, Luisa Consiglieri, M. Baddi, M. Chipot, M. Costabel, M. Dauge, M. Jakob, M.A. Ragusa, M.T.G. Montesinos, N. Dunford, N.G. Meyers, O. Yamashita, P. Grisvard, R. Dautray, S.-S. Byun, S.N. Antontsev, W. Littman, X. Xu, X. Xu, Y. Nishiura   +35 more
core   +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

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

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In 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, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

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

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

Optimal Focusing for Monochromatic Scalar and Electromagnetic Waves

, 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

On the leading term of the eigenvalue variation for Aharonov-Bohm operators with a moving pole

, 2015
We study the behavior of eigenvalues for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We analyse the leading term in the Taylor expansion of the eigenvalue function as the pole moves
Abatangelo, Laura, Felli, Veronica
core   +1 more source

Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation. [PDF]

Heliyon, 2023
Khater MMA.
europepmc   +1 more source