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9 papers · 2 filters
Phase appearance or disappearance in two-phase flows
Floraine Cordier, Pierre Degond, Anela Kumbaro
This paper is devoted to the treatment of specific numerical problems which appear when phase appearance or disappearance occurs in models of two-phase flows. Such models have cruc…
Macroscopic limits and phase transition in a system of self-propelled particles
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
We investigate systems of self-propelled particles with alignment interaction. Compared to previous work, the force acting on the particles is not normalized and this modification…
Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation
Pierre Degond, Jian-Guo Liu
We consider a kinetic model of self-propelled particles with alignment interaction and with precession about the alignment direction. We derive a hydrodynamic system for the local…
An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations
Floraine Cordier, Pierre Degond, Anela Kumbaro
We present an Asymptotic-Preserving 'all-speed' scheme for the simulation of compressible flows valid at all Mach-numbers ranging from very small to order unity. The scheme is base…
Geometry and Shape of Minkowski's Space Conformal Infinity
Arkadiusz Jadczyk
We review and further analyze Penrose's 'light cone at infinity' - the conformal closure of Minkowski space. Examples of a potential confusion in the existing literature about it's…
Gravitation on a Homogeneous Domain
Arkadiusz Jadczyk
Among all plastic deformations of the gravitational Lorentz vacuum \cite{wr1} a particular role is being played by conformal deformations. These are conveniently described by using…