6 citations · 14 across the 7 of their papers we have counts for
5 papers · 1 filter
Field model for complex ionic fluids: analytical properties and numerical investigation
Jian-Guo Liu, Jinhuan Wang, Yu Zhao +1
In this paper, we consider the field model for complex ionic fluids with an energy variational structure, and analyze the well-posedness to this model with regularized kernels. Fur…
Supercritical degenerate parabolic-parabolic Keller-Segel system -- existence criterion given by the best constant in Sobolev's inequality
Jinhuan Wang, Yue Li, Li Chen
This article presents a relationship between the sharp constant of the Sobolev inequality and the initial criterion to the global existence of degenerate parabolic-parabolic Keller…
On the best constant for Gagliardo-Nirenberg interpolation inequalities
Jian-Guo Liu, Jinhuan Wang
In this paper we derive the best constant for the following Gagliardo-Nirenberg interpolation inequality \begin{eqnarray*} \|u\|_{L^{m+1}}\leq C_{q,m,p} \|u\|^{1-θ}_{L^{q+1}}\|\nab…
Uniform in time -estimates for nonlinear aggregation-diffusion equations
Jose A. Carrillo, Jinhuan Wang
We derive uniform in time -bound for solutions to an aggregation-diffusion model with attractive-repulsive potentials or fully attractive potentials. We analyze two cases…
Vanishing Pressure Limit of Solutions to the Aw-Rascle Model for Modified Chaplygin gas
Jinhuan Wang, Jinjing Liu, Hanchun Yang
This paper analyzes the vanishing pressure limit of solutions to the Aw-Rascle model and the perturbed Aw-Rascle model for modified Chaplygin gas. Firstly, the Riemann problem of t…