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77 papers · 1 filter
Interpolation and peak functions for the Nevanlinna and Smirnov classes
Xavier Massaneda, Pascal J. Thomas
It is known (implicit in [HMNT]) that when is an interpolating sequence for the Nevanlinna or the Smirnov class then there exist functions in these spaces, with uniform c…
Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement
Weizhu Bao, Naoufel Ben Abdallah, Yongyong Cai
Ground states and dynamical properties of dipolar Bose-Einstein condensate are analyzed based on the Gross-Pitaevskii-Poisson system (GPPS) and its dimension reduction models under…
A note on phase transitions for the Smoluchowski equation with dipolar potential
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
In this note, we study the phase transitions arising in a modified Smoluchowski equation on the sphere with dipolar potential. This equation models the competition between alignmen…
Well-posedness for Hall-magnetohydrodynamics
Dongho Chae, Pierre Degond, Jian-Guo Liu
We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resitive, viscous or inviscid Hall-MHD model. We also…
Towards an ultra efficient kinetic scheme Part II: The high order case
Giacomo Dimarco, Raphaël Loubere
In a recent paper we presented a new ultra efficient numerical method for solving kinetic equations of the Boltzmann type (G. Dimarco, R. Loubere, Towards an ultra efficient kineti…
Bayesian posterior consistency in the functional randomly shifted curves model
Dominique Bontemps, Sébastien Gadat
In this paper, we consider the so-called Shape Invariant Model which stands for the estimation of a function submitted to a random translation of law in a white noise m…