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Xiang Xu
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On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
H Wu, X Xu, C Liu
Archive for Rational Mechanics and Analysis 208 (1), 59-107, 2013
1122013
Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows
X Xu, Z Zhang
Journal of Differential Equations 252 (2), 1169–1181, 2012
1072012
Asymptotic behavior for a nematic liquid crystal model with different kinematic transport properties
H Wu, X Xu, C Liu
Calculus of Variations and Partial Differential Equations 45 (3-4), 319–345, 2012
642012
Axisymmetric solutions to coupled Navier-Stokes/Allen-Cahn equations
X Xu, L Zhao, C Liu
SIAM Journal on Mathematical Analysis 41 (6), 2246–2282, 2010
452010
A Wasserstein gradient flow approach to the Poisson-Nernst-Planck equations
D Kinderlehrer, L Monsaingeon, X Xu
ESAIM: Control, Optimisation and Calculus of Variations 23 (1), 137–164, 2017
442017
Dynamic cubic instability in a 2D Q-tensor model for liquid crystals
G Iyer, X Xu, A Zarnescu
Mathematical Models and Methods in Applied Sciences 25 (8), 1477–1517, 2015
412015
Global strong solutions of the full Navier-Stokes and Q-tensor system for nematic liquid crystal flows in two dimensions
C Cavaterra, E Rocca, H Wu, X Xu
SIAM Journal on Mathematical Analysis 48 (2), 1368–1399, 2016
382016
Dynamics and flow effects in the Beris-Edwards system modelling nematic liquid crystals
H Wu, X Xu, A Zarnescu
Archive for Rational Mechanics and Analysis 231 (2), 1217–1267, 2019
302019
Energy stable semi-implicit schemes for Allen–Cahn–Ohta–Kawasaki model in binary system
X Xu, Y Zhao
Journal of Scientific Computing 80, 1656-1680, 2019
272019
A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals
Y Cai, J Shen, X Xu
Mathematical Models and Methods in Applied Sciences 27 (8), 1459–1488, 2017
202017
Strong solutions, global regularity, and stability of a hydrodynamic system modeling vesicle and fluid interactions
H Wu, X Xu
SIAM Journal on Mathematical Analysis 45 (1), 181–214, 2013
17*2013
Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system
D Wang, X Xu, C Yu
Communications in Mathematical Sciences 13 (1), 49-82, 2015
152015
Analysis of a diffuse-interface model for the binary viscous incompressible fluids with thermo-induced Marangoni effects
H Wu, X Xu
Communications in Mathematical Sciences 11 (2), 603–633, 2013
152013
Maximum Principle Preserving Schemes for Binary Systems with Long-range Interactions
X Xu, Y Zhao
Journal of Scientific Computing 84 (33), 2020
132020
Existence and uniqueness of global classical solutions of a gradient flow of the Landau–de Gennes energy
X Chen, X Xu
Proceedings of American Mathematical Society 144 (3), 1251–1263, 2016
112016
Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential
Y Liu, XY Lu, X Xu
SIAM Journal on Mathematical Analysis 53 (3), 3338-3365, 2021
72021
On the rigidity of nematic liquid crystal flow on S^2
C Wang, X Xu
Journal of Functional Analysis 266 (8), 5360–5376, 2014
62014
Blowup rate estimates of a singular potential and its gradient in the Landau-de Gennes theory
XY Lu, X Xu, W Zhang
Journal of Nonlinear Science 32, 1-30, 2022
4*2022
Recent Analytic Development of the Dynamic Q-Tensor Theory for Nematic Liquid Crystals
X Xu
Electronic Research Archive 30 (6), 2022
42022
An elementary proof of eigenvalue preservation for the co-rotational Beris-Edwards system
A Contreras, X Xu, W Zhang
Journal of Nonlinear Science 29 (2), 789-801, 2019
42019
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