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10 papers · 1 filter
Controllability of 3D incompressible Euler equations by a finite-dimensional external force
Hayk Nersisyan
In this paper, we study the control system associated with the incompressible 3D Euler system. We show that the velocity field and pressure of the fluid are exactly controllable in…
Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
N. Kitanine, K. K. Kozlowski, J. M. Maillet +2
We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe a…
The Thermodynamic Limit of Quantum Coulomb Systems. Part II. Applications
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
In a previous paper, we have developed a general theory of thermodynamic limits. We apply it here to three different Coulomb quantum systems, for which we prove the convergence of…
Generalized eigenvalue-counting estimates for the Anderson model
Jean-Michel Combes, François Germinet, Abel Klein
We generalize Minami's estimate for the Anderson model and its extensions to eigenvalues, allowing for arbitrary intervals and arbitrary single-site probability measures wi…
A Nonlinear Model for Relativistic Electrons at Positive Temperature
Christian Hainzl, Mathieu Lewin, Robert Seiringer
We study the relativistic electron-positron field at positive temperature in the Hartree-Fock-approximation. We consider both the case with and without exchange term, and investiga…
Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms
Philippe Gravejat, Mathieu Lewin, Eric Sere
We study the reduced Bogoliubov-Dirac-Fock (BDF) energy which allows to describe relativistic electrons interacting with the Dirac sea, in an external electrostatic potential. The…