209 citations · 1.4k across the 114 of their papers we have counts for
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On the equilibrium of the Poisson-Nernst-Planck-Bikermann model equipping with the steric and correlation effects
Jian-Guo Liu, Yijia Tang, Yu Zhao
The Poisson-Nernst-Planck-Bikermann (PNPB) model, in which the ions and water molecules are treated as different species with non-uniform sizes and valences with interstitial voids…
From kinetic to fluid models of liquid crystals by the moment method
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
This paper deals with the convergence of the Doi-Navier-Stokes model of liquid crystals to the Ericksen-Leslie model in the limit of the Deborah number tending to zero. While the l…
Multiple rogue wave solutions for (2+1)-dimensional Boussinesq equation
Jian-Guo Liu, Wen-Hui Zhu
In this paper, a modified symbolic computation approach is proposed. The multiple rogue wave solutions of a generalized (2+1)-dimensional Boussinesq equation are obtained by using…
Patched peakon weak solutions of the modified Camassa-Holm equation
Yu Gao, Lei Li, Jian-Guo Liu
In this paper, we study traveling wave solutions and peakon weak solutions of the modified Camassa-Holm (mCH) equation with dispersive term for . We study t…
Numerical approximation of a coagulation-Fragmentation Model for Animal Group Size Statistics
Pierre Degond, Maximilian Engel
We study numerically a coagulation-fragmentation model derived by Niwa and further elaborated by Degond et al., where a unique equilibrium distribution of group sizes is shown to e…
Macroscopic models of collective motion and self-organization
Pierre Degond, Amic Frouvelle, Jian-Guo Liu +2
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of sel…
A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games
Pierre Degond, Jian-Guo Liu, Christian Ringhofer
We introduce a new mean field kinetic model for systems of rational agents interacting in a game theoretical framework. This model is inspired from non-cooperative anonymous games…
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…
Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system
Marion Arichetogaray, Pierre Degond, Amic Frouvelle +1
This paper deals with the derivation and analysis of the the Hall Magneto-Hydrodynamic equations. We first provide a derivation of this system from a two-fluids Euler-Maxwell syste…
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…