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- Université Toulouse III - Paul SabatierFR936 papers
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6 papers · 2 filters
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…
Self-Organized Hydrodynamics with congestion and path formation in crowds
Pierre Degond, Jiale Hua
A continuum model for self-organized dynamics is numerically investigated. The model describes systems of particles subject to alignment interaction and short-range repulsion. It c…
Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation
Giacomo Dimarco, Raphaël Loubere
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation ope…
Transference Principles for Log-Sobolev and Spectral-Gap with Applications to Conservative Spin Systems
Franck Barthe, Emanuel Milman
We obtain new principles for transferring log-Sobolev and Spectral-Gap inequalities from a source metric-measure space to a target one, when the curvature of the target space is bo…