6 citations · 14 across the 7 of their papers we have counts for
8 papers
Extension principles for the Einstein Yang--Mills system
Junbin Li, Jinhua Wang
We prove the local existence theorem and establish an extension principle for the spherically symmetric Einstein Yang--Mills system (SSEYM) with data. This in addition implie…
Noncompact -dimensional Einstein spaces as attractors for the Einstein flow
Jinhua Wang
We prove that along with the Einstein flow, any small perturbations of an -dimensional, non-compact negative Einstein space with some "non-positive Weyl tensor" lead t…
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…
Exact criterion for global existence and blow up to a degenerate Keller-Segel system
Li Chen, Jinhuan Wang
A degenerate Keller-Segel system with diffusion exponent in multi dimension is studied. An exact criterion for global existence and blow up of solution i…