Results 31 to 40 of about 628 (44)
Unique compact representation of magnetic fields using truncated solid harmonic expansions
European Journal of Applied MathematicsPrecise 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
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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.
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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.
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Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
, 2016 We look for three dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations.
d'Avenia, Pietro +2 more
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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
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Bound states for the Schr\"{o}dinger equation with mixed-type nonlinearites
, 2020 We prove the existence results for the Schr\"odinger equation of the form $$ -\Delta u + V(x) u = g(x,u), \quad x \in \mathbb{R}^N, $$ where $g$ is superlinear and subcritical in some periodic set $K$ and linear in $\mathbb{R}^N \setminus K$ for ...
Bieganowski, Bartosz +1 more
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Coupled Domain-Boundary Variational Formulations for Hodge-Helmholtz Operators. [PDF]
Integr Equ Oper Theory, 2022 Schulz E, Hiptmair R.
europepmc +1 more source
, 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
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Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation.
Heliyon, 2023 Khater MMA.
europepmc +1 more source
FAST UPDATING MULTIPOLE COULOMBIC POTENTIAL CALCULATION. [PDF]
SIAM J Sci Comput, 2017 HÖft TA, Alpert BK.
europepmc +1 more source