Now showing items 21-40 of 901

• #### Boundary Triples for the Dirac Operator with Coulomb-Type Spherically Symmetric Perturbations ﻿

(Journal of Mathematical Physics, 2019-02)
• #### Is minimising the convergence rate a good choice for efficient optimized schwarz preconditioning in heterogeneous coupling? The Stokes-Darcy case ﻿

(2019-01-05)
• #### On the influence of gravity on density-dependent incompressible periodic fluids ﻿

(J. Differential Equations, 2019)
The present work is devoted to the analysis of density-dependent, incompressible fluids in a 3D torus, when the Froude number $\varepsilon$ goes to zero. We consider the very general case where the initial data do not have ...
• #### Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane ﻿

(2018-12)
For electric and magnetic potentials with compact support, we consider the magnetic Schrödinger equation with fixed positive energy. Under a mild additional regularity hypothesis, and with fixed magnetic potential, we show ...
• #### Determination of convection terms and quasi-linearities appearing in diffusion equations ﻿

(2018-12)
We consider the highly nonlinear and ill posed inverse problem of determining some general expression appearing in the a diffusion equation from measurements of solutions on the lateral boundary. We consider both linear ...
• #### Correlation imaging in inverse scattering is tomography on probability distributions ﻿

(Inverse Problems, 2018-12-04)
Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive sufficient conditions for stochastic moments ...
• #### Qualitative analysis of kinetic-based models for tumor-immune system interaction ﻿

(Discrete and Continuous Dynamical Systems - Series B, 2018-08)
A mathematical model, based on a mesoscopic approach, describing the competition between tumor cells and immune system in terms of kinetic integro-differential equations is presented. Four interacting populations are ...
• #### Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments ﻿

(International Journal of Thermal Sciences, 2018-11)
In the Fourier heat conduction equation, when the flux definition is expressed as the product of a constant diffusivity and the temperature gradient, the characteristic length scale evolves as the square root of time. ...
• #### Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors ﻿

(Ann. Phys. (Berl.), 2018-12-10)
The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...
• #### Accuracy of Classical Conductivity Theory at Atomic Scales for Free Fermions in Disordered Media ﻿

(J. Math. Pures Appl., 2019-01-22)
The growing need for smaller electronic components has recently sparked the interest in the breakdown of the classical conductivity theory near the atomic scale, at which quantum effects should dominate. In 2012, experimental ...
• #### Decay of Complex-time Determinantal and Pfaffian\ Correlation Functionals in Lattices ﻿

(Commun. Math. Phys., 2018-01-24)
We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time ...