Xiang Xu

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All published works

Action	Title	Year	Authors
+	Analysis of the Allen–Cahn–Ohta–Nakazawa model in a ternary system	2021	Sookyung Joo Xiang Xu Yanxiang Zhao
+ PDF Chat	Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential	2021	Yuning Liu Xin Lü Xiang Xu
+ PDF Chat	Maximum Principle Preserving Schemes for Binary Systems with Long-Range Interactions	2020	Xiang Xu Yanxiang Zhao
+	Maximum Principle Preserving Schemes for Binary Systems with Long-range Interactions	2020	Xiang Xu Yanxiang Zhao
+	Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory	2020	Xinyang Lu Xiang Xu Wujun Zhang
+	Regularity of a gradient flow generated by the anisotropic Landau-de Gennes energy with a singular potential	2020	Yuning Liu Xinyang Lu Xiang Xu
+	Global well-posedness of the two dimensional Beris–Edwards system with general Laudau–de Gennes free energy	2019	Yuning Liu Hao Wu Xiang Xu
+ PDF Chat	Energy Stable Semi-implicit Schemes for Allen–Cahn–Ohta–Kawasaki Model in Binary System	2019	Xiang Xu Yanxiang Zhao
+ PDF Chat	An Elementary Proof of Eigenvalue Preservation for the Co-rotational Beris-Edwards System	2018	Andres Contreras Xiang Xu Wujun Zhang
+ PDF Chat	Dynamics and Flow Effects in the Beris-Edwards System Modeling Nematic Liquid Crystals	2018	Hao Wu Xiang Xu Arghir Zarnescu
+	Global Well-posedness of the Two Dimensional Beris-Edwards System with General Laudau-de Gennes Free Energy	2018	Yuning Liu Hao Wu Xiang Xu
+	Energy stable semi-implicit schemes for Allen-Cahn-Ohta-Kawasaki Model in Binary System	2018	Xiang Xu Yanxiang Zhao
+ PDF Chat	Global Strong Solutions of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions	2016	Cecilia Cavaterra Elisabetta Rocca Hao Wu Xiang Xu
+	Global strong solutions of the full Navier-Stokes and $Q$-tensor system for nematic liquid crystal flows in $2D$: existence and long-time behavior	2015	Cecilia Cavaterra Elisabetta Rocca Hao Wu Xiang Xu
+ PDF Chat	A Wasserstein gradient flow approach to Poisson−Nernst−Planck equations	2015	David Kinderlehrer Léonard Monsaingeon Xiang Xu
+	Existence and uniqueness of global classical solutions of a gradient flow of the Landau-de Gennes energy	2015	Xinfu Chen Xiang Xu
+ PDF Chat	Dynamic cubic instability in a 2D Q-tensor model for liquid crystals	2015	Gautam Iyer Xiang Xu Arghir Zarnescu
+	A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations	2015	David Kinderlehrer Léonard Monsaingeon Xiang Xu
+	Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals	2014	Gautam Iyer Xiang Xu Arghir Zarnescu
+	Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system	2013	Dehua Wang Xiang Xu Cheng Yu
+ PDF Chat	Strong Solutions, Global Regularity, and Stability of a Hydrodynamic System Modeling Vesicle and Fluid Interactions	2013	Hao Wu Xiang Xu
+ PDF Chat	On the General Ericksen–Leslie System: Parodi’s Relation, Well-Posedness and Stability	2012	Hao Wu Xiang Xu Chun Liu
+ PDF Chat	Asymptotic behavior for a nematic liquid crystal model with different kinematic transport properties	2011	Hao Wu Xiang Xu Chun Liu

Common Coauthors

Coauthor	Papers Together
Hao Wu	8
Yanxiang Zhao	5
Yuning Liu	3
Arghir Zarnescu	3
Léonard Monsaingeon	2
Cecilia Cavaterra	2
David Kinderlehrer	2
Chun Liu	2
Xinyang Lu	2
Elisabetta Rocca	2
Wujun Zhang	2
Gautam Iyer	2
Xinfu Chen	1
Xin Lü	1
Dehua Wang	1
Cheng Yu	1
Andres Contreras	1
Sookyung Joo	1
Yuning Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Landau–De Gennes Theory of Nematic Liquid Crystals: the Oseen–Frank Limit and Beyond	2009	Apala Majumdar Arghir Zarnescu	13
+ PDF Chat	Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory	2010	Apala Majumdar	11
+ PDF Chat	Energy Dissipation and Regularity for a Coupled Navier–Stokes and Q-Tensor System	2011	Marius Paicu Arghir Zarnescu	10
+	Introduction to Q-tensor theory	2014	N. J. Mottram Christopher J. P. Newton	9
+ PDF Chat	Dynamic cubic instability in a 2D Q-tensor model for liquid crystals	2015	Gautam Iyer Xiang Xu Arghir Zarnescu	9
+	Strictly Physical Global Weak Solutions of a Navier–Stokes Q-tensor System with Singular Potential	2015	Mark Wilkinson	9
+ PDF Chat	Evolution of non-isothermal Landau–de Gennes nematic liquid crystals flows with singular potential	2013	Eduard Feireisl Elisabetta Rocca Giulio Schimperna Arghir Zarnescu	8
+ PDF Chat	Global Existence and Regularity for the Full Coupled Navier–Stokes and<i>Q</i>-Tensor System	2011	Marius Paicu Arghir Zarnescu	8
+ PDF Chat	Nonisothermal nematic liquid crystal flows with the Ball–Majumdar free energy	2014	Eduard Feireisl Giulio Schimperna Elisabetta Rocca Arghir Zarnescu	8
+ PDF Chat	Compact sets in the spaceL p (O,T; B)	1986	Jacques Simon	6
+ PDF Chat	Weak Time Regularity and Uniqueness for a $Q$-Tensor Model	2014	Francisco Guillén‐González María Ángeles Rodríguez‐Bellido	6
+ PDF Chat	On a 3D isothermal model for nematic liquid crystals accounting for stretching terms	2012	Cecilia Cavaterra Elisabetta Rocca	6
+ PDF Chat	Weak solutions for an initial–boundary Q-tensor problem related to liquid crystals	2014	Francisco Guillén‐González María Ángeles Rodríguez‐Bellido	6
+ PDF Chat	Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data	2014	Helmut Abels Georg Dolzmann Yuning Liu	6
+ PDF Chat	Orientability and Energy Minimization in Liquid Crystal Models	2011	J. M. Ball Arghir Zarnescu	6
+	Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals	1998	Timothy A. Davis Eugene C. Gartland	6
+	Asymptotics for a Class of Non-Linear Evolution Equations, with Applications to Geometric Problems	1983	Leon Simon	5
+	Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions	2013	Helmut Abels Georg Dolzmann Yuning Liu	5
+ PDF Chat	Uniqueness of weak solutions of the full coupled Navier–Stokes and $Q$-tensor system in 2D	2016	Francesco De Anna Arghir Zarnescu	5
+	Navier–Stokes Equations and Nonlinear Functional Analysis	1995	Roger Témam	5
+ PDF Chat	Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows	2009	Hao Wu	4
+	Navier-Stokes Equations and Nonlinear Functional Analysis	1987	Roger Témam	4
+ PDF Chat	On the initial boundary value problem of a Navier-Stokes/$Q$-tensor model for liquid crystals	2018	Yuning Liu Wei Wang	4
+	A global 2D well-posedness result on the order tensor liquid crystal theory	2016	Francesco De Anna	4
+ PDF Chat	Dynamics and Flow Effects in the Beris-Edwards System Modeling Nematic Liquid Crystals	2018	Hao Wu Xiang Xu Arghir Zarnescu	4
+	On energetic variational approaches in modeling the nematic liquid crystal flows	2008	Huan Sun Chun Liu	4
+	Functional Analysis, Sobolev Spaces and Partial Differential Equations	2010	Haı̈m Brezis	4
+	Nonparabolic dissipative systems modeling the flow of liquid crystals	1995	Fang‐Hua Lin Chun Liu	4
+ PDF Chat	Global Strong Solutions of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions	2016	Cecilia Cavaterra Elisabetta Rocca Hao Wu Xiang Xu	4
+ PDF Chat	Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models	2015	Lawrence C. Evans Olivier Kneuss Hung V. Tran	4
+ PDF Chat	On asymptotic isotropy for a hydrodynamic model of liquid crystals	2016	Mimi Dai Eduard Feireisl Elisabetta Rocca Giulio Schimperna María E. Schonbek	4
+ PDF Chat	Rigorous Derivation from Landau--de Gennes Theory to Ericksen--Leslie Theory	2015	Wei Wang Pingwen Zhang Zhifei Zhang	4
+	Gradient Inequalities: With Applications to Asymptotic Behavior And Stability of Gradient-like Systems	2006	Sen-Zhong Huang	4
+ PDF Chat	Global well-posedness for the dynamical Q-tensor model of liquid crystals	2015	Jinrui Huang Shijin Ding	4
+	Convex Optimization	2004	Stephen Boyd Lieven Vandenberghe	4
+	Existence and uniqueness of global classical solutions of a gradient flow of the Landau-de Gennes energy	2015	Xinfu Chen Xiang Xu	4
+	Existence of Solutions for the Ericksen-Leslie System	2000	Fang-Hua Lin Chun Liu	4
+ PDF Chat	Partial regularity of the dynamic system modeling the flow of liquid crystals	1996	Fang-Hua Lin Chun Liu	3
+ PDF Chat	Homogeneity and some curvature conditions for hypersurfaces	1969	Patrick J. Ryan	3
+ PDF Chat	Regularity of minimizers of a tensor-valued variational obstacle problem in three dimensions	2020	Zhiyuan Geng Jiajun Tong	3
+ PDF Chat	Bubble assemblies in ternary systems with long range interaction	2019	Chong Wang Xiaofeng Ren Yanxiang Zhao	3
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	3
+ PDF Chat	A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation	2018	Yanxiang Zhao Yanping Ma Hui Sun Bo Li Qiang Du	3
+	On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities	2008	Helmut Abels	3
+ PDF Chat	Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation	2009	Zhaozheng Hu Steven M. Wise C. Wang John Lowengrub	3
+ PDF Chat	Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation	2016	Georgy Kitavtsev J. M. Robbins Valeriy Slastikov Arghir Zarnescu	3
+ PDF Chat	Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends	2016	Xiaofeng Yang	3
+	Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity	2001	Alain Haraux Jendoubi	3
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	3
+ PDF Chat	Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions	2016	Helmut Abels Georg Dolzmann Yuning Liu	3