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 +35 more
core +1 more source
Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system [PDF]
, 2011 We use optimal transportation techniques to show uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Our proof extends the method used by Loeper in J. Math. Pures Appl. 86, 68-79 (2006) to obtain uniqueness results for the Vlasov-Poisson system.
arxiv +1 more source
Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations [PDF]
arXiv, 2008 In this paper we prove the existence of a ground state solution for the nonlinear Klein-Gordon-Maxwell equations in the electrostatic case.
arxiv
Infinitely many positive solutions for a Schrodinger-Poisson system [PDF]
arXiv, 2010 We find infinitely many positive non-radial solutions for a nonlinear Schrodinger-Poisson system.
arxiv
Ground state solutions for the nonlinear Schrodinger-Maxwell equations with a singular potential [PDF]
arXiv, 2007 We prove the existence of ground state solutions for the nonlinear Schrodinger-Maxwell equations with a singular potential.
arxiv
$C^{1,α}$-estimates for the near field refractor [PDF]
arXiv, 2019 We establish local $C^{1,\alpha}$ estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.
arxiv
Scattering theory for the Schrödinger-Debye System [PDF]
, 2017 We study the Schr\"odinger-Debye system over $\mathbb{R}^d$ iu_t+\frac 12\Delta u=uv,\quad \mu v_t+v=\lambda |u|^2 and establish the global existence and scattering of small solutions for initial data in several function spaces in dimensions $d=2,3,4$. Moreover, in dimension $d=1$, we prove a Hayashi-Naumkin modified scattering result.
arxiv +1 more source
Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation. [PDF]
Heliyon, 2023 Khater MMA.
europepmc +1 more source
Non relativistic strings may be approximated by relativistic strings [PDF]
arXiv, 2006 We show that bounded families of global classical relativistic strings that can be written as graphs are relatively compact in C0 topology, but their accumulation points include many non relativistic strings. We also provide an alternative formulation of these relativistic strings and characterize their ``semi-relativistic'' completion.
arxiv
Coupled Domain-Boundary Variational Formulations for Hodge-Helmholtz Operators. [PDF]
Integr Equ Oper Theory, 2022 Schulz E, Hiptmair R.
europepmc +1 more source