Zilai Li

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All published works

Action	Title	Year	Authors
+	Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time	2025	Xinyu Fan Qiangchang Ju Zilai Li Jianjun Xu
+	A note on energy and cross‐helicity conservation in the ideal magnetohydrodynamic equations	2024	Yulin Ye Zilai Li
+ PDF Chat	Global classical solutions to the viscous two-phase flow model with slip boundary conditions in 3D exterior domains	2023	Zilai Li Hao Liu Huaqiao Wang Daoguo Zhou
+ PDF Chat	Global Classical Solutions to the viscous two-phase flow model with slip Boundary Conditions in 3D Exterior Domains	2023	Zilai Li Hao Liu Huaqiao Wang Daoguo Zhou
+	Global strong solutions to the viscous liquid–gas two-phase flow model with slip boundary conditions in 3D exterior domains	2022	Jing Yang Hao Liu Zilai Li
+ PDF Chat	Global Classical Solutions to the Viscous Two-Phase Flow Model with Navier-type Slip Boundary Condition in 2D Bounded Domains	2022	Zilai Li Hao Liu Yulin Ye
+	Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model	2022	Yunfei Su Zilai Li Lei Yao
+	Global Solutions to a 3D Axisymmetric Compressible Navier-Stokes System with Density-Dependent Viscosity	2022	Mei Wang Zilai Li Zhenhua Guo
+	Global Classical Solutions to the viscous two-phase flow model with slip Boundary Conditions in 3D Exterior Domains	2022	Zilai Li Hao Liu Huaqiao Wang
+	Global strong solution to the Cauchy problem of 1D viscous two-fluid model without any domination condition	2021	Xiaona Gao Zhenhua Guo Zilai Li
+ PDF Chat	On non-resistive limit of 1D MHD equations with no vacuum at infinity	2021	Zilai Li Huaqiao Wang Yulin Ye
+	Global Strong Solutions to Cauchy Problem of 1D Non-resistive MHD Equations with No Vacuum at Infinity	2021	Xiaolian Ai Zilai Li Yulin Ye
+	On non-resistive limit of 1D MHD equations with no vacuum at infinity	2021	Zilai Li Huaqiao Wang Yulin Ye
+	Global axisymmetric classical solutions of full compressible magnetohydrodynamic equations with vacuum free boundary and large initial data	2020	Kunquan Li Zilai Li Yaobin Ou
+	Global strong solutions to the Cauchy problem of 1D compressible MHD equations with no resistivity	2020	Zilai Li Huaqiao Wang Yulin Ye
+	On the free boundary problem of 1D compressible Navier–Stokes equations with heat conductivity dependent of temperature	2020	Zilai Li Yulin Ye
+ PDF Chat	Asymptotic behavior of spherically or cylindrically symmetric solutions to the compressible Navier-Stokes equations with large initial data	2019	Xinhua Zhao Zilai Li
+	The large time behavior of the free boundary for one dimensional compressible Navier-Stokes equations	2019	Yulin Ye Zilai Li
+	Global strong solutions to 1-D vacuum free boundary problem for compressible Navier–Stokes equations with variable viscosity and thermal conductivity	2019	Zilai Li Yan Ma Yaobin Ou
+	Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum	2019	Yulin Ye Zilai Li
+ PDF Chat	Global weak solution to 3D compressible flows with density-dependent viscosity and free boundary	2016	Mei Wang Zilai Li Zhenhua Guo
+	Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system	2016	Lei Yao Zilai Li Wenjun Wang
+ PDF Chat	On the global existence of 3-D magneto-hydrodynamic system in the critical spaces	2015	Xiaolian Ai Zilai Li
+ PDF Chat	Global existence of weak solution to the free boundary problem for compressible Navier-Stokes	2015	Zilai Li Zhenhua Guo
+ PDF Chat	Global classical solution for a 3D viscous liquid-gas two-fluid flow model in a half-space	2015	Jing Yang Zilai Li Fang Li
+ PDF Chat	Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries	2015	Mei Wang Zilai Li Wei Li
+	On the existence of local classical solution for a class of one-dimensional compressible non-newtonian fluids	2014	Fang Li Zilai Li
+	Existence of global weak solution for a reduced gravity two and a half layer model	2013	Zhenhua Guo Zilai Li Lei Yao

Common Coauthors

Coauthor	Papers Together
Yulin Ye	9
Huaqiao Wang	6
Zhenhua Guo	5
Hao Liu	5
Lei Yao	3
Mei Wang	3
Fang Li	2
Yaobin Ou	2
Jing Yang	2
Daoguo Zhou	2
Xiaolian Ai	2
Xiaona Gao	1
Xinhua Zhao	1
Xinyu Fan	1
Wei Li	1
Yunfei Su	1
Kunquan Li	1
Yan Ma	1
Wenjun Wang	1
Qiangchang Ju	1
Jianjun Xu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations	2011	Xiangdi Huang Jing Li Zhouping Xin	10
+	Lagrange Structure and Dynamics for Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations	2011	Zhenhua Guo Hai-Liang Li Zhouping Xin	9
+	Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data	1995	D. Hoff	8
+	Existence and uniqueness of global weak solution to a two-phase flow model with vacuum	2010	Lei Yao Changjiang Zhu	7
+	On Spherically Symmetric Solutions¶of the Compressible Isentropic Navier–Stokes Equations	2001	Song Jiang Ping Zhang	7
+ PDF Chat	The initial value problem for the equations of motion of viscous and heat-conductive gases	1980	Akitaka Matsumura Takaaki Nishida	7
+	Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas	1977	A. V. Kazhikhov V. V. Shelukhin	7
+	Existence and Asymptotic Behavior of Global Weak Solutions to a 2D Viscous Liquid-Gas Two-Phase Flow Model	2010	Lei Yao Ting Zhang Changjiang Zhu	6
+ PDF Chat	Global existence of weak solutions for a viscous two-phase model	2007	Steinar Evje Kenneth H. Karlsen	6
+	Vacuum states for compressible flow	1998	Tai-Ping Liu Zhouping Xin Tong Yang	6
+	Free boundary value problem for a viscous two-phase model with mass-dependent viscosity	2009	Lei Yao Changjiang Zhu	6
+	Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients	2008	Zhenhua Guo Quansen Jiu Zhouping Xin	6
+	On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations	2001	Eduard Feireisl Antonín Novotný Hana Petzeltová	5
+	COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM	2001	Tong Yang Zheng‐an Yao Changjiang Zhu	5
+	On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid	1995	В. А. Вайгант A. V. Kazhikhov	5
+	Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations	2000	Alexander Zlotnik	5
+ PDF Chat	Global Weak Solutions to 1D Compressible Isentropic Navier-Stokes Equations with Density-Dependent Viscosity	2005	Song Jiang Zhouping Xin Ping Zhang	5
+	Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure	1990	Jacques Simon	5
+	Global strong solution for a three-dimensional viscous liquid-gas two-phase flow model with vacuum	2011	Zhenhua Guo Jing Yang Lei Yao	5
+	Dynamics of Viscous Compressible Fluids	2003	Eduard Feireisl	5
+	None	2002	Tong Yang Changjiang Zhu	4
+ PDF Chat	Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows	2010	Xianpeng Hu Dehua Wang	4
+	Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density	1998	Zhouping Xin	4
+	Strong solution to the compressible magnetohydrodynamic equations with vacuum	2007	Jishan Fan Wanghui Yu	4
+	Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data	1995	David Hoff	4
+	On the non-resistive limit and the magnetic boundary-layer for one-dimensional compressible magnetohydrodynamics	2017	Song Jiang Jianwen Zhang	4
+	Global strong solutions to the 3D viscous liquid–gas two–phase flow model	2020	Haibo Yu	4
+ PDF Chat	Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum	2017	Jishan Fan Shuxiang Huang Fucai Li	4
+	Global well-posedness of the Cauchy problem of two-dimensional compressible Navier–Stokes equations in weighted spaces	2013	Quansen Jiu Yi Wang Zhouping Xin	4
+	L^p theory for the div-curl system	2014	Junichi Aramaki	4
+	Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum	2017	Guangyi Hong Xiaofeng Hou Hongyun Peng Changjiang Zhu	4
+ PDF Chat	On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum	2020	Xiangdi Huang	4
+	Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data	2002	Gui‐Qiang Chen Dehua Wang	4
+	Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model	2003	Didier Bresch Benoı̂t Desjardins	4
+	Introduction to the Mathematical Theory of Compressible Flow	2004	Antonín Novotný Ivan Straškraba	4
+ PDF Chat	Symmetric Nonbarotropic Flows with Large Data and Forces	2004	David Hoff Helge Kristian Jenssen	4
+ PDF Chat	On the Barotropic Compressible Navier–Stokes Equations	2007	Antoine Mellet Alexis Vasseur	4
+	Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum	2013	Hai-Liang Li Xinying Xu Jianwen Zhang	4
+ PDF Chat	Global Well-Posedness of 2D Compressible Navier–Stokes Equations with Large Data and Vacuum	2014	Quansen Jiu Yi Wang Zhouping Xin	4
+ PDF Chat	Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum	2012	Zhen Luo	4
+	Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero resistivity	2015	Jishan Fan Yuxi Hu	3
+	Global Weak Solutions to a Generic Two-Fluid Model	2009	Didier Bresch Benoı̂t Desjardins Jean‐Michel Ghidaglia Éric Grenier	3
+	On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier–Stokes models	2006	Didier Bresch Benoı̂t Desjardins	3
+	On Elliptic Partial Differential Equations	2011	Louis Nirenberg	3
+ PDF Chat	Vanishing of Vacuum States and Blow-up Phenomena of the Compressible Navier-Stokes Equations	2008	Hai-Liang Li Jing Li Zhouping Xin	3
+	Systems of a Hyperbolic-Parabolic Composite Type, with Applications to the Equations of Magnetohydrodynamics	1984	Shuichi Kawashima	3
+	ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS	1972	Aizik Volpert S I Hudjaev	3
+	A blow-up criterion for a 2D viscous liquid-gas two-phase flow model	2010	Lei Yao Ting Zhang Changjiang Zhu	3
+	A blow-up criterion of strong solution to a 3D viscous liquid–gas two-phase flow model with vacuum	2011	Huanyao Wen Lei Yao Changjiang Zhu	3
+ PDF Chat	On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities	2006	Yonggeun Cho Hyunseok Kim	3