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20112026
most citedBlow up criterion for compressible nematic liquid crystal flows in dimension three

111 citations · 233 across the 19 of their papers we have counts for

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19 papers

math.AP2026

Vanishing capillary limit for compressible Navier-Stokes-Korteweg system in a bounded interval with large initial data

Jiaxin Ling, Huanyao Wen, Xinhua Zhao

In this paper, we study vanishing capillary limit for isentropic compressible Navier-Stokes-Korteweg system in a bounded interval. The main challenges focus on the capillary term a…

math.AP2026

Corrigendum to "Optimal time-decay estimates for an Oldroyd-B model with zero viscosity [J. Differential Equations, 306(2022), 456--491]"

Jinrui Huang, Yinghui Wang, Huanyao Wen +1

The present note is to make minor correction on the assumption of Theorem 1.2 and its proof in our paper [arXiv:2111.02059, Jinrui Huang, Yinghui Wang, Huanyao Wen and Rizhao Zi, {…

math.AP2023

The vanishing diffusion limit for an Oldroyd-B model in

Yinghui Wang, Huanyao Wen

We consider the initial-boundary value problem for an incompressible Oldroyd-B model with stress diffusion in two-dimensional upper half plane which describes the motion of viscoel…

math.AP2022

The Cauchy problem for an inviscid and non-diffusive Oldroyd-B model in two dimensions

Yuanzhi Tu, Yinghui Wang, Huanyao Wen

A two-dimensional inviscid and diffusive Oldroyd-B model was investigated by [T. M. Elgindi, F. Rousset, Commun. Pure Appl. Math. 68 (2015), 2005--2021] where the global existence…

math.AP2021★ 32 cited

Optimal time-decay estimates for an Oldroyd-B model with zero viscosity

Jinrui Huang, Yinghui Wang, Huanyao Wen +1

In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three dimensions. Some optimal time-decay rates of the solutions are derived via analysis of upper a…

math.AP2021

The Cauchy problem for an inviscid Oldroyd-B model in

Sili Liu, Wenjun Wang, Huanyao Wen

In this paper, we consider the Cauchy problem for an inviscid compressible Oldroyd-B model in three dimensions. The global well posedness of strong solutions and the associated tim…

math.AP2019★ 6 cited

On global solutions to a viscous compressible two-fluid model with unconstrained transition to single-phase flow in three dimensions

Huanyao Wen

We consider the Dirichlet problem for a compressible two-fluid model in three dimensions, and obtain the global existence of weak solution with large initial data and independent a…

math.AP2018

Time decay rate of global strong solutions to nematic liquid crystal flows in

Jinrui Huang, CHangyou Wang, Huanyao Wen

In this paper, we obtain optimal time-decay rates in for of global strong solutions to the nematic liquid crystal flows in , provided t…

math.AP2017

Global weak solution to the viscous two-fluid model with finite energy

Alexis Vasseur, Huanyao Wen, Cheng Yu

In this paper, we prove the existence of global weak solutions to the compressible two-fluid Navier-Stokes equations in three dimensional space. The pressure depends on two differe…

math.AP2012★ 39 cited

Global well-posedness and zero-diffusion limit of classical solutions to the 3D conservation laws arising in chemotaxis

Hongyun Peng, Huanyao Wen, Changjiang Zhu

In this paper, we study the relationship between a diffusive model and a non-diffusive model which are both derived from the well-known Keller-Segel model, as a coefficient of diff…

math.AP2012★ 1 cited

Global solutions to the three-dimensional full compressible Navier-Stokes equations with vacuum at infinity in some classes of large data

Huanyao Wen, Changjiang Zhu

We consider the Cauchy problem for the full compressible Navier-Stokes equations with vanishing of density at infinity in R3. Our main purpose is to prove the existence (and unique…

math.AP2012★ 5 cited

Global Classical Solutions of Viscous Liquid-gas Two-phase Flow Model

Haibo Cui, Huanyao Wen, Haiyan Yin

In this paper, we consider the global existence and uniqueness of the classical solutions for the 3D viscous liquid-gas two-phase flow model. Initial data is only small in the ener…

math.AP2011★ 3 cited

Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum

Huanyao Wen, Changjiang Zhu

In the paper, we establish a blow-up criterion in terms of the integrability of the density for strong solutions to the Cauchy problem of compressible isentropic Navier-Stokes equa…

math.AP2011★ 12 cited

Global symmetric classical and strong solutions of the full compressible Navier-Stokes equations with vacuum and large initial data

Huanyao Wen, Changjiang Zhu

First of all, we get the global existence of classical and strong solutions of the full compressible Navier-Stokes equations in three space dimensions with initial data which is la…

math.AP2011★ 111 cited

Blow up criterion for compressible nematic liquid crystal flows in dimension three

Tao Huang, Changyou Wang, Huanyao Wen

In this paper, we consider the short time strong solution to a simplified hydrodynamic flow modeling the compressible, nematic liquid crystal materials in dimension three. We estab…

math.AP2011★ 13 cited

Strong solutions of the compressible nematic liquid crystal flow

Tao Huang, Changyou Wang, Huanyao Wen

We study strong solutions of the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in a domain . We first prove the local ex…

math.AP2011★ 1 cited

Incompressible Limit of the Compressible Nematic Liquid Crystal Flow

Shijin Ding, Jinrui Huang, Huanyao Wen +1

This paper is concerned with the incompressible limit of the compressible hydrodynamic flow of liquid crystals with periodic boundary conditions in R^N(N = 2, 3). It is rigorously…

math.AP2011★ 7 cited

Global Classical Large Solutions to Navier-Stokes Equations for Viscous Compressible and Heat Conducting Fluids with Vacuum

Huanyao Wen, Changjiang Zhu

In this paper, we consider the 1D Navier-Stokes equations for viscous compressible and heat conducting fluids (i.e., the full Navier-Stokes equations). We get a unique global class…

math.AP2011★ 3 cited

Global spherically symmetric classical solution to compressible Navier-Stokes equations with large initial data and vacuum

Shijin Ding, Huanyao Wen, Lei Yao +1

In this paper, we obtain a result on the existence and uniqueness of global spherically symmetric classical solutions to the compressible isentropic Navier-Stokes equations with va…