## Lin, Fang Hua

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 Author ID: lin.fang-hua Published as: Lin, Fanghua; Lin, Fang-Hua; Lin, Fang Hua; Lin, F. H.; Lin, FangHua; Lin, F.-H.; Lin, Fang Hau; Lin, Fang-hua; Lin, Fanghau more...less External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
 Documents Indexed: 224 Publications since 1985, including 5 Books 7 Contributions as Editor · 1 Further Contribution Co-Authors: 69 Co-Authors with 174 Joint Publications 2,817 Co-Co-Authors
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### Co-Authors

 55 single-authored 23 Hardt, Robert M. 17 Wang, Changyou 16 Zhang, Ping 13 Yang, Yisong 10 Han, Qing 9 Hang, Fengbo 8 Avellaneda, Marco 8 Liu, Chun 7 Lin, Taichia 7 Shen, Zhongwei 6 Caffarelli, Luis Ángel 6 Lei, Zhen 5 Kenig, Carlos Eduardo 5 Kinderlehrer, David 5 Wei, Juncheng 4 Hu, Xianpeng 4 Poon, Chicheung 4 Rivière, Tristan 3 Chen, Yunmei 3 Garofalo, Nicola 3 Ni, Wei-Ming 3 Xin, Jack X. 2 Chemin, Jean-Yves 2 Ding, Yanheng 2 Du, Qiang 2 Gan, Zaihui 2 Geng, Zhiyuan 2 Jiang, Huiqiang 2 Kohn, Robert Vita 2 Kriventsov, Dennis 2 Lau, Chiping 2 Pan, Xingbin 2 Shatah, Jalal 2 Tong, Jiajun 2 Wang, Xueping 2 Zhou, Yi 1 Agmon, Shmuel 1 Alper, Onur 1 Bellová, Katarína 1 Berestycki, Henri 1 Birindelli, Isabeau 1 Brézis, Haïm 1 Cai, Yuan 1 Calderer, Maria-Carme T. 1 Capogna, Luca 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Chen, Yumnei 1 Guedes de Figueiredo, Djairo 1 Deng, Fan 1 Ding, Weiyue 1 Ekeland, Ivar 1 Fabes, Eugene B. 1 Fefferman, Charles Louis 1 Golovaty, Dmitry 1 Gui, Changfeng 1 Huang, Jinrui 1 Huang, Tao 1 Jiang, Renjin 1 Karakhanyan, Aram L. 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Lai, Chen-Chih 1 Lax, Peter David 1 Li, Jiayu 1 Li, YanYan 1 Li, Yi 1 Lin, Junyu 1 Liu, Dan 1 Masmoudi, Nader 1 Mayboroda, Svitlana 1 Mou, Libin 1 Rabinowitz, Paul Henry 1 Sire, Yannick 1 Tarantello, Gabriella 1 Tian, Gang 1 Toro, Tatiana 1 Varadhan, S. R. Srinivasa 1 Wang, Lihe 1 Xu, Li 1 Yan, Xiaodong 1 Yang, Xiaoping 1 Yau, Shing-Tung 1 Zhang, Ting 1 Zhang, Zhifei 1 Zhou, Yifu 1 Zhu, Jiuyi
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### Serials

 52 Communications on Pure and Applied Mathematics 10 Discrete and Continuous Dynamical Systems 9 Archive for Rational Mechanics and Analysis 7 Calculus of Variations and Partial Differential Equations 7 Acta Mathematica Sinica. English Series 6 Communications in Mathematical Physics 6 Chinese Annals of Mathematics. Series B 6 SIAM Journal on Mathematical Analysis 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Journal of Partial Differential Equations 5 Morningside Lectures in Mathematics 4 Indiana University Mathematics Journal 4 Communications in Analysis and Geometry 4 Methods and Applications of Analysis 4 Journal of the European Mathematical Society (JEMS) 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 The Journal of Geometric Analysis 3 Communications in Partial Differential Equations 3 Courant Lecture Notes in Mathematics 2 Bulletin of the Australian Mathematical Society 2 Applied Mathematics and Optimization 2 Journal of Differential Geometry 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mathematical Research Letters 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal for Numerical Methods in Fluids 1 Nonlinearity 1 Nuclear Physics. B 1 Acta Mathematica 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Journal of Scientific Computing 1 Science in China. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Séminaire Équations aux Dérivées Partielles 1 Selecta Mathematica. New Series 1 RIMS Kokyuroku 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Journal of Zhejiang University. Science 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications in Mathematical Sciences 1 IAS/Park City Mathematics Series 1 Advanced Mathematics (Beijing/Boston) 1 Journal of Fixed Point Theory and Applications 1 Communications in Mathematical Research 1 Science China. Mathematics 1 Scientia Sinica. Mathematica
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### Fields

 166 Partial differential equations (35-XX) 65 Global analysis, analysis on manifolds (58-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 42 Fluid mechanics (76-XX) 30 Statistical mechanics, structure of matter (82-XX) 25 Differential geometry (53-XX) 16 Quantum theory (81-XX) 7 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Manifolds and cell complexes (57-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

193 Publications have been cited 5,937 times in 3,230 Documents Cited by Year
Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084
Lin, Fang-Hua; Liu, Chun
1995
A new proof of the Caffarelli-Kohn-Nirenberg theorem. Zbl 0958.35102
Lin, Fanghua
1998
Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Zbl 0703.35173
Lin, Fanghua
1989
Liquid crystal flows in two dimensions. Zbl 1346.76011
Lin, Fanghua; Lin, Junyu; Wang, Changyou
2010
Monotonicity properties of variational integrals, $$A_ p$$ weights and unique continuation. Zbl 0678.35015
Garofalo, Nicola; Lin, Fang-Hua
1986
On hydrodynamics of viscoelastic fluids. Zbl 1076.76006
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
2005
Compactness methods in the theory of homogenization. Zbl 0632.35018
Avellaneda, Marco; Lin, Fang-Hua
1987
Unique continuation for elliptic operators: A geometric-variational approach. Zbl 0674.35007
Garofalo, Nicola; Lin, Fang-Hua
1987
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
1986
Mappings minimizing the $$L^ p$$ norm of the gradient. Zbl 0646.49007
Hardt, Robert; Lin, Fanghua
1987
Existence of solutions for the Ericksen-Leslie system. Zbl 0963.35158
Lin, Fang-Hua; Liu, Chun
2000
Global small solutions of 2-D incompressible MHD system. Zbl 1321.35138
Lin, Fanghua; Xu, Li; Zhang, Ping
2015
Global small solutions to an MHD-type system: the three-dimensional case. Zbl 1298.35153
Lin, Fanghua; Zhang, Ping
2014
Nodal sets of solutions of elliptic and parabolic equations. Zbl 0734.58045
Lin, Fang-Hua
1991
On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals. Zbl 1208.35002
Lin, Fanghua; Wang, Changyou
2010
On the initial-boundary value problem of the incompressible viscoelastic fluid system. Zbl 1137.35414
Lin, Fanghua; Zhang, Ping
2008
Global mild solutions of Navier-Stokes equations. Zbl 1225.35165
Lei, Zhen; Lin, Fang-Hua
2011
Convergence rates in $$L ^{2}$$ for elliptic homogenization problems. Zbl 1258.35086
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
2012
Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102
Ding, Yanheng; Lin, Fanghua
2007
Some dynamical properties of Ginzburg-Landau vortices. Zbl 0853.35058
Lin, Fang Hua
1996
$$L^ p$$ bounds on singular integrals in homogenization. Zbl 0761.42008
Avellaneda, M.; Lin, Fang Hua
1991
Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
1996
Global existence of weak solutions of the nematic liquid crystal flow in dimension three. Zbl 1349.35299
Lin, Fanghua; Wang, Changyou
2016
Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
2013
Elliptic partial differential equations. 2nd ed. Zbl 1210.35031
Han, Qing; Lin, Fanghua
2011
Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. Zbl 1194.35138
Caffarelli, L. A.; Lin, Fang-Hua
2008
Regularity of an elliptic problem with a singular nonlinearity. Zbl 0805.35032
Gui, Changfeng; Lin, Fang Hua
1993
Elliptic partial differential equations. Reprint of the 1997 orig. Zbl 1052.35505
Han, Qing; Lin, Fanghua
1997
On the number of interior peak solutions for a singularly perturbed Neumann problem. Zbl 1170.35424
Lin, Fang-Hua; Ni, Wei-Ming; Wei, Jun-Cheng
2007
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004
Lin, Fanghua; Wang, Changyou
2014
Gradient estimates and blow-up analysis for stationary harmonic maps. Zbl 0949.58017
Lin, Fang-Hua
1999
Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001
Lin, Fanghua; Yang, Yisong
2007
Static and dynamic theories of liquid crystals. Zbl 1433.82014
Lin, Fanghua; Liu, Chun
2001
Regularity and existence of global solutions to the Ericksen-Leslie system in $${\mathbb{R}^2}$$. Zbl 1298.35147
Huang, Jinrui; Lin, Fanghua; Wang, Changyou
2014
Topology of Sobolev mappings. II. Zbl 1061.46032
Hang, Fengbo; Lin, Fanghua
2003
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
2007
Some analytical issues for elastic complex fluids. Zbl 1426.76041
Lin, Fanghua
2012
Periodic homogenization of Green and Neumann functions. Zbl 1300.35030
Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei
2014
Geometric measure theory. An introduction. Zbl 1074.49011
Lin, Fanghua; Yang, Xiaoping
2002
Harmonic and quasi-harmonic spheres. Zbl 0934.58018
Lin, Fanghua; Wang, Changyou
1999
A uniqueness theorem for parabolic equations. Zbl 0727.35063
Lin, Fang Hua
1990
The analysis of harmonic maps and their heat flows. Zbl 1203.58004
Lin, Fanghua; Wang, Changyou
2008
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents. Zbl 0939.35056
Lin, Fanghua; Rivière, Tristan
1999
On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145
Lin, F.-H.; Xin, J. X.
1999
A remark on $$H^ 1$$ mappings. Zbl 0618.58015
Hardt, Robert; Lin, Fang-Hua
1986
Compactness methods in the theory of homogenization. II: Equations in non-divergence form. Zbl 0645.35019
Avellaneda, Marco; Lin, Fang-Hua
1989
Energy identity of harmonic map flows from surfaces at finite singular time. Zbl 0908.58008
Lin, Fanghua; Wang, Changyou
1998
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
1988
On nematic liquid crystals with variable degree of orientation. Zbl 0733.49005
Lin, Fang Hua
1991
A quantization property for static Ginzburg-Landau vortices. Zbl 1033.58013
Lin, Fang-Hua; Rivière, Tristan
2001
Evolution of harmonic maps with Dirichlet boundary conditions. Zbl 0845.35049
Chen, Yunmei; Lin, Fang Hua
1993
On the Dirichlet problem for minimal graphs in hyperbolic space. Zbl 0707.35028
Lin, Fanghua
1989
On the hydrodynamic limit of Ginzburg-Landau vortices. Zbl 1034.35128
Lin, Fanghua; Zhang, Ping
2000
Elliptic partial differential equations. Zbl 1051.35031
Han, Qing; Lin, Fanghua
1997
Homogenization of elliptic problems with $$L^p$$ boundary data. Zbl 0644.35034
Avellaneda, Marco; Lin, Fang-Hua
1987
Une remarque sur l’application x/$$| x|$$. (A remark on the map x/$$| x|)$$. Zbl 0652.58022
Lin, Fang-Hua
1987
Topology of Sobolev mappings. Zbl 1049.46018
Hang, Fengbo; Lin, Fanghua
2001
On the global existence of smooth solution to the 2-D FENE dumbbell model. Zbl 1143.82035
Lin, Fanghua; Zhang, Ping; Zhang, Zhifei
2008
On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
2007
Ginzburg-Landau vortices: dynamics, pinning, and hysteresis. Zbl 0888.35054
Lin, Fang-Hua; Du, Qiang
1997
Harmonic and quasi-harmonic spheres. II. Zbl 1042.58005
Lin, FangHua; Wang, ChangYou
2002
Second derivative $$L^ p$$-estimates for elliptic equations of nondivergent type. Zbl 0599.35039
Lin, Fanghua
1986
Global small solutions to a complex fluid model in three dimensional. Zbl 1325.35167
Lin, Fanghua; Zhang, Ting
2015
Solutions of Ginzburg-Landau equations and critical points of the renormalized energy. Zbl 0845.35052
Lin, Fang Hua
1995
Geometric measure of singular sets of elliptic equations. Zbl 0940.35065
Han, Qing; Hardt, Robert; Lin, Fanghua
1998
Global solutions of two-dimensional incompressible viscoelastic flows with discontinuous initial data. Zbl 1334.35236
Hu, Xianpeng; Lin, Fanghua
2016
The geometry of solutions to a segregation problem for nondivergence systems. Zbl 1217.35015
Caffarelli, L. A.; Karakhanyan, A. L.; Lin, Fang-Hua
2009
Un théorème de Liouville pour des équations elliptiques à coefficients périodiques. (A Liouville theorem for elliptic equations with periodic coefficients). Zbl 0691.35022
Avellaneda, Marco; Lin, Fang-Hua
1989
Finite time singularity of the nematic liquid crystal flow in dimension three. Zbl 1344.35104
Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou
2016
Structure of helicity and global solutions of incompressible Navier-Stokes equation. Zbl 1327.35300
Lei, Zhen; Lin, Fang-Hua; Zhou, Yi
2015
Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds. Zbl 0932.35121
Lin, Fang Hua
1998
Partially constrained boundary conditions with energy minimizing mappings. Zbl 0686.35035
Hardt, Robert; Lin, Fang Hua
1989
Existence of energy minimizers as stable knotted solitons in the Faddeev model. Zbl 1065.81118
Lin, Fanghua; Yang, Yisong
2004
Energy quantization for harmonic maps. Zbl 1014.58008
Lin, Fang-Hua; Rivière, Tristan
2002
A partial answer to a conjecture of B. Simon concerning unique continuation. Zbl 0703.35029
Fabes, Eugene B.; Garofalo, Nicola; Lin, Fang-Hua
1990
On the elliptic equation $$D_ i[a_{ij}(x)D_ jU]-k(x)U+K(x)U^ p=0$$. Zbl 0584.35031
Lin, Fang-Hua
1985
Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
2013
Static theory for planar ferromagnets and antiferromagnets. Zbl 0987.82017
Hang, Feng Bo; Lin, Fang Hua
2001
Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space. Zbl 0633.49020
Hardt, Robert; Lin, Fang-Hua
1987
Nonlocal heat flows preserving the $$L^2$$ energy. Zbl 1154.35364
Caffarelli, Luis; Lin, Fanghua
2009
Existence of two-dimensional Skyrmions via the concentration-compactness method. Zbl 1059.81184
Lin, Fanghua; Yang, Yisong
2004
Strong convergence of $$p$$-harmonic mappings. Zbl 0833.35038
Hardt, R.; Lin, F. H.; Mou, L.
1994
Harmonic and quasi-harmonic spheres. III: Rectifiability of the parabolic defect measure and generalized varifold flows. Zbl 1042.58006
Lin, Fanghua; Wang, Changyou
2002
Traveling wave solutions of the Schrödinger map equation. Zbl 1206.35062
Lin, Fanghua; Wei, Juncheng
2010
Partial regularity for weak heat flows into spheres. Zbl 0827.35024
Chen, Yunmei; Li, Jiayu; Lin, Fang-Hua
1995
Singularities for $$p$$-energy minimizing unit vector fields on planar domains. Zbl 0828.58008
Hardt, Robert; Lin, Fanghua
1995
Zero set of Sobolev functions with negative power of integrability. Zbl 1119.35014
Jiang, Huiqiang; Lin, Fanghua
2004
On the two-dimensional Muskat problem with monotone large initial data. Zbl 1457.76053
Deng, Fan; Lei, Zhen; Lin, Fanghua
2017
Legendrian energy minimizers. I: Heisenberg group target. Zbl 0997.58006
Capogna, Luca; Lin, Fang-Hua
2001
Nodal sets of solutions of parabolic equations. II. Zbl 0807.35052
Han, Qing; Lin, Fang Hua
1994
On ancient solutions of the heat equation. Zbl 1461.35098
Lin, Fanghua; Zhang, Q. S.
2019
Stability of singularities of minimizing harmonic maps. Zbl 0673.58016
Hardt, Robert; Lin, Fanghau
1989
Variational problems with free interfaces. Zbl 0794.49038
Lin, Fang Hua
1993
Homogenization of Poisson’s kernel and applications to boundary control. Zbl 0617.35014
Avellaneda, Marco; Lin, Fang-Hua
1989
Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain. Zbl 1079.76016
Lin, Fanghua; Zhang, Ping
2006
A quantization property for moving line vortices. Zbl 1029.35127
Lin, Fang-Hua; Rivière, Tristan
2001
Topology of Sobolev mappings. III. Zbl 1038.46026
Hang, Fengbo; Lin, Fanghua
2003
A generalization of Eells-Sampson’s theorem. Zbl 0765.58008
Ding, Weiyue; Lin, Fanghua
1992
Axially symmetric harmonic maps minimizing a relaxed energy. Zbl 0769.58012
Hardt, Robert; Lin, Fang-Hua; Poon, Chi-Cheung
1992
Vortex dynamics for the nonlinear wave equation. Zbl 0929.35076
Lin, Fang Hua
1999
On current developments in partial differential equations. Zbl 1463.35001
Lin, Fanghua
2020
Riesz transform under perturbations via heat kernel regularity. Zbl 1433.58023
Jiang, Renjin; Lin, Fanghua
2020
On the viscous Camassa-Holm equations with fractional diffusion. Zbl 1473.35627
Gan, Zaihui; Lin, Fanghua; Tong, Jiajun
2020
On ancient solutions of the heat equation. Zbl 1461.35098
Lin, Fanghua; Zhang, Q. S.
2019
Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. Zbl 1439.35391
Cai, Yuan; Lei, Zhen; Lin, Fanghua; Masmoudi, Nader
2019
Regularity for shape optimizers: the degenerate case. Zbl 1430.49044
Kriventsov, Dennis; Lin, Fanghua
2019
Solvability of the Stokes immersed boundary problem in two dimensions. Zbl 1406.35289
Lin, Fang-Hua; Tong, Jiajun
2019
Nodal sets and doubling conditions in elliptic homogenization. Zbl 1421.35074
Lin, Fanghua; Shen, Zhongwei
2019
Superfluids passing an obstacle and vortex nucleation. Zbl 1437.35237
Lin, Fanghua; Wei, Juncheng
2019
Harmonic maps in connection of phase transitions with higher dimensional potential wells. Zbl 1429.35077
Lin, Fanghua; Wang, Changyou
2019
Regularity for shape optimizers: the nondegenerate case. Zbl 1404.49026
Kriventsov, Dennis; Lin, Fanghua
2018
On the two-dimensional Muskat problem with monotone large initial data. Zbl 1457.76053
Deng, Fan; Lei, Zhen; Lin, Fanghua
2017
Defects of liquid crystals with variable degree of orientation. Zbl 1418.58005
Alper, Onur; Hardt, Robert; Lin, Fang-Hua
2017
Extremum problems of Laplacian eigenvalues and generalized Polya conjecture. Zbl 06731385
Lin, Fanghua
2017
Global existence of weak solutions of the nematic liquid crystal flow in dimension three. Zbl 1349.35299
Lin, Fanghua; Wang, Changyou
2016
Global solutions of two-dimensional incompressible viscoelastic flows with discontinuous initial data. Zbl 1334.35236
Hu, Xianpeng; Lin, Fanghua
2016
Finite time singularity of the nematic liquid crystal flow in dimension three. Zbl 1344.35104
Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou
2016
Lectures on elliptic free boundary problems. Zbl 1349.35002
Lin, Fanghua
2016
On the Betti numbers of level sets of solutions to elliptic equations. Zbl 1336.35130
Lin, Fanghua; Liu, Dan
2016
Global small solutions of 2-D incompressible MHD system. Zbl 1321.35138
Lin, Fanghua; Xu, Li; Zhang, Ping
2015
Global small solutions to a complex fluid model in three dimensional. Zbl 1325.35167
Lin, Fanghua; Zhang, Ting
2015
Structure of helicity and global solutions of incompressible Navier-Stokes equation. Zbl 1327.35300
Lei, Zhen; Lin, Fang-Hua; Zhou, Yi
2015
Nodal sets of Steklov eigenfunctions. Zbl 1327.35263
Bellová, Katarína; Lin, Fang-Hua
2015
Global small solutions to an MHD-type system: the three-dimensional case. Zbl 1298.35153
Lin, Fanghua; Zhang, Ping
2014
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004
Lin, Fanghua; Wang, Changyou
2014
Regularity and existence of global solutions to the Ericksen-Leslie system in $${\mathbb{R}^2}$$. Zbl 1298.35147
Huang, Jinrui; Lin, Fanghua; Wang, Changyou
2014
Periodic homogenization of Green and Neumann functions. Zbl 1300.35030
Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei
2014
Scaling limit for compressible viscoelastic fluids. Zbl 1426.76040
Hu, Xianpeng; Lin, Fanghua
2014
Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
2013
Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
2013
Convergence rates in $$L ^{2}$$ for elliptic homogenization problems. Zbl 1258.35086
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
2012
Some analytical issues for elastic complex fluids. Zbl 1426.76041
Lin, Fanghua
2012
Phase transition for potentials of high-dimensional wells. Zbl 1248.49059
Lin, Fanghua; Pan, Xing-Bin; Wang, Changyou
2012
Erratum: On the Dirichlet problem for minimal graphs in hyperbolic space. Zbl 1241.35037
Lin, Fanghua
2012
On magnetohydrodynamics with partial magnetic dissipation near equilibrium. Zbl 1317.35201
Hu, Xianpeng; Lei, Zhen; Lin, Fang-Hua
2012
Global mild solutions of Navier-Stokes equations. Zbl 1225.35165
Lei, Zhen; Lin, Fang-Hua
2011
Elliptic partial differential equations. 2nd ed. Zbl 1210.35031
Han, Qing; Lin, Fanghua
2011
Global solutions of the evolutionary Faddeev model with small initial data. Zbl 1209.35073
Lei, Zhen; Lin, Fang Hua; Zhou, Yi
2011
Existence of dyons in the coupled Georgi-Glashow-Skyrme model. Zbl 1213.81219
Lin, Fanghua; Yang, Yisong
2011
Liquid crystal flows in two dimensions. Zbl 1346.76011
Lin, Fanghua; Lin, Junyu; Wang, Changyou
2010
On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals. Zbl 1208.35002
Lin, Fanghua; Wang, Changyou
2010
Traveling wave solutions of the Schrödinger map equation. Zbl 1206.35062
Lin, Fanghua; Wei, Juncheng
2010
Analysis on the junctions of domain walls. Zbl 1193.35255
Caffarelli, Luis A.; Lin, Fang Hua
2010
The geometry of solutions to a segregation problem for nondivergence systems. Zbl 1217.35015
Caffarelli, L. A.; Karakhanyan, A. L.; Lin, Fang-Hua
2009
Nonlocal heat flows preserving the $$L^2$$ energy. Zbl 1154.35364
Caffarelli, Luis; Lin, Fanghua
2009
Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem. Zbl 1157.65401
Du, Qiang; Lin, Fanghua
2009
Existence of Faddeev knots in general Hopf dimensions. Zbl 1197.58006
Hang, Fengbo; Lin, Fanghua; Yang, Yisong
2009
On regularity and singularity of free boundaries in obstacle problems. Zbl 1187.35292
Lin, Fanghua
2009
On the initial-boundary value problem of the incompressible viscoelastic fluid system. Zbl 1137.35414
Lin, Fanghua; Zhang, Ping
2008
Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. Zbl 1194.35138
Caffarelli, L. A.; Lin, Fang-Hua
2008
The analysis of harmonic maps and their heat flows. Zbl 1203.58004
Lin, Fanghua; Wang, Changyou
2008
On the global existence of smooth solution to the 2-D FENE dumbbell model. Zbl 1143.82035
Lin, Fanghua; Zhang, Ping; Zhang, Zhifei
2008
The FENE dumbbell model near equilibrium. Zbl 1143.76008
Lin, Fanghua; Zhang, Ping
2008
On the isometric embedding of torus in $$\mathbb R^3$$. Zbl 1178.53050
Han, Qing; Lin, Fanghua
2008
Complexity of solutions of partial differential equations. Zbl 1158.35007
Lin, Fang Hua
2008
Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102
Ding, Yanheng; Lin, Fanghua
2007
On the number of interior peak solutions for a singularly perturbed Neumann problem. Zbl 1170.35424
Lin, Fang-Hua; Ni, Wei-Ming; Wei, Jun-Cheng
2007
Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001
Lin, Fanghua; Yang, Yisong
2007
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
2007
On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
2007
Magnetic field-induced instabilities in liquid crystals. Zbl 1128.82021
Lin, Fanghua; Pan, Xing-Bin
2007
Energy splitting, substantial inequality, and minimization for the Faddeev and Skyrme models. Zbl 1113.81096
Lin, Fanghua; Yang, Yisong
2007
Analysis on Faddeev knots and skyrme solitons: recent progress and open problems. Zbl 1200.81106
Lin, Fanghua; Yang, Yisong
2007
Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain. Zbl 1079.76016
Lin, Fanghua; Zhang, Ping
2006
Semiclassical states of Hamiltonian system of Schrödinger equations with subcritical and critical nonlinearities. Zbl 1104.35051
Ding, Yanheng; Lin, Fanghua
2006
Stable stationary harmonic maps to spheres. Zbl 1121.58017
Lin, Fang Hua; Wang, Chang You
2006
Static knot energy, Hopf charge, and universal growth law. Zbl 1178.58005
Lin, Fanghua; Yang, Yisong
2006
On hydrodynamics of viscoelastic fluids. Zbl 1076.76006
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
2005
Topology of Sobolev mappings. IV. Zbl 1093.46017
Hang, Fengbo; Lin, Fanghua
2005
Existence of energy minimizers as stable knotted solitons in the Faddeev model. Zbl 1065.81118
Lin, Fanghua; Yang, Yisong
2004
Existence of two-dimensional Skyrmions via the concentration-compactness method. Zbl 1059.81184
Lin, Fanghua; Yang, Yisong
2004
Zero set of Sobolev functions with negative power of integrability. Zbl 1119.35014
Jiang, Huiqiang; Lin, Fanghua
2004
A new type of free boundary problem with volume constraint. Zbl 1067.49030
Jiang, Huiqiang; Lin, Fanghua
2004
Topology of Sobolev mappings. II. Zbl 1061.46032
Hang, Fengbo; Lin, Fanghua
2003
Topology of Sobolev mappings. III. Zbl 1038.46026
Hang, Fengbo; Lin, Fanghua
2003
Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices. Zbl 1141.58304
Lin, Fanghua; Yang, Yisong
2003
Vortices in $$p$$-wave superconductivity. Zbl 1126.82343
Lin, Fanghua; Lin, Tai-Chia
2003
Singular sets of higher order elliptic equations. Zbl 1290.35065
Han, Qing; Hardt, Robert; Lin, Fanghua
2003
Soliton dynamics in planar ferromagnets and anti-ferromagnets. Zbl 1162.37332
Lin, Fanghua; Shatah, Jalal
2003
Remarks on a backward parabolic problem. Zbl 1085.35026
Lin, Fanghua
2003
Multiple time scale dynamics in coupled Ginzburg-Landau equations. Zbl 1160.82368
Lin, Fanghua; Lin, Tai-Chia
2003
Geometric measure theory. An introduction. Zbl 1074.49011
Lin, Fanghua; Yang, Xiaoping
2002
Harmonic and quasi-harmonic spheres. II. Zbl 1042.58005
Lin, FangHua; Wang, ChangYou
2002
Energy quantization for harmonic maps. Zbl 1014.58008
Lin, Fang-Hua; Rivière, Tristan
2002
Harmonic and quasi-harmonic spheres. III: Rectifiability of the parabolic defect measure and generalized varifold flows. Zbl 1042.58006
Lin, Fanghua; Wang, Changyou
2002
Time evolution of nematic liquid crystals with variable degree of orientation. Zbl 1003.35108
Calderer, M. C.; Golovaty, D.; Lin, F.-H.; Liu, C.
2002
A Liouville type theorem for minimizing maps. Zbl 1084.58004
Hang, Fengbo; Lin, Fanghua
2002
Vortices in two-dimensional Bose-Einstein condensates. Zbl 1009.35081
Lin, FangHua; Lin, Tai-Chia
2002
On the hydrodynamic limit of Ginzburg-Landau wave vortices. Zbl 1033.35089
Lin, Fanghua; Zhang, Ping
2002
Static and dynamic theories of liquid crystals. Zbl 1433.82014
Lin, Fanghua; Liu, Chun
2001
A quantization property for static Ginzburg-Landau vortices. Zbl 1033.58013
Lin, Fang-Hua; Rivière, Tristan
2001
Topology of Sobolev mappings. Zbl 1049.46018
Hang, Fengbo; Lin, Fanghua
2001
Static theory for planar ferromagnets and antiferromagnets. Zbl 0987.82017
Hang, Feng Bo; Lin, Fang Hua
2001
Legendrian energy minimizers. I: Heisenberg group target. Zbl 0997.58006
Capogna, Luca; Lin, Fang-Hua
2001
A quantization property for moving line vortices. Zbl 1029.35127
Lin, Fang-Hua; Rivière, Tristan
2001
Varifold type theory for Sobolev mappings. Zbl 1056.58007
Lin, Fanghua
2001
Existence of solutions for the Ericksen-Leslie system. Zbl 0963.35158
Lin, Fang-Hua; Liu, Chun
2000
On the hydrodynamic limit of Ginzburg-Landau vortices. Zbl 1034.35128
Lin, Fanghua; Zhang, Ping
2000
A remark on the Jacobians. Zbl 1033.49047
Hang, Fengbo; Lin, Fanghua
2000
Vortex state of $$d$$-wave superconductors in the Ginzburg-Landau energy. Zbl 0970.35024
Lin, FangHua; Lin, Tai-Chia
2000
...and 93 more Documents
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### Cited by 2,696 Authors

 75 Lin, Fang Hua 40 Wei, Juncheng 37 Wang, Changyou 30 Liu, Qiao 29 Zhang, Zhifei 22 Bethuel, Fabrice 22 Wu, Jiahong 21 Liu, Chun 21 Terracini, Susanna 20 Lei, Zhen 19 Fan, Jishan 19 Liu, Zuhan 19 Zhang, Ping 18 Felli, Veronica 18 Jiang, Fei 18 Pan, Xingbin 18 Wang, Kelei 18 Yao, Zhengan 17 Hu, Xianpeng 17 Orlandi, Giandomenico 16 Byun, Sun-Sig 16 Hong, Minchun 16 Wang, Dehua 16 Yang, Minbo 15 Guo, Boling 15 Hardt, Robert M. 15 Kenig, Carlos Eduardo 15 Kukavica, Igor 15 Lei, Yutian 15 Li, Jiayu 15 Shen, Zhongwei 14 Garofalo, Nicola 14 Jost, Jürgen 14 Rivière, Tristan 14 Tan, Zhong 14 Vessella, Sergio 14 Yang, Xiaofeng 14 Zhai, Xiaoping 13 Ding, Shijin 13 Dong, Hongjie 13 Isobe, Takeshi 13 Moser, Roger 13 Suslina, Tat’yana Aleksandrovna 13 Wang, Wei 13 Wang, Yanqing 13 Yang, Xiaoping 13 Zarnescu, Arghir Dani 13 Zhang, Ting 12 Brézis, Haïm 12 Guillén González, Francisco M. 12 Huang, Jinrui 12 Huang, Tao 12 Jerrard, Robert Leon 12 Liang, Sihua 12 Masmoudi, Nader 12 Mironescu, Petru 12 Seregin, Gregory A. 12 Serfaty, Sylvia 12 Wang, Wendong 12 Wu, Gang 12 Yuan, Baoquan 12 Zhuge, Jinping 12 Zi, Ruizhao 11 Ambrosio, Luigi 11 Choe, Hi Jun 11 Ding, Yanheng 11 Jiang, Song 11 Liu, Hairong 11 Liu, Xiangao 11 Niu, Weisheng 11 Otto, Felix 11 Smets, Didier 11 Wang, Yinxia 11 Yin, Zhaoyang 11 Zhou, Yi 10 Armstrong, Scott N. 10 Banerjee, Agnid 10 Canevari, Giacomo 10 Fang, Daoyuan 10 Geng, Jun 10 Gloria, Antoine 10 Jian, Huai-Yu 10 Lai, Baishun 10 Lin, Junyu 10 Melcher, Christof 10 Pisante, Adriano 10 Spirn, Daniel P. 10 Van Schaftingen, Jean 10 Wang, Jenn-Nan 10 Yeh, Li-Ming 10 Yu, Yong 10 Zhang, Pingwen 10 Zhao, Jihong 10 Zheng, Shenzhou 10 Zhu, Jiuyi 10 Zilio, Alessandro 9 Alazard, Thomas 9 Bousquet, Pierre 9 Cui, Junzhi 9 Du, Qiang ...and 2,596 more Authors
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### Cited in 322 Serials

 200 Journal of Differential Equations 195 Calculus of Variations and Partial Differential Equations 163 Archive for Rational Mechanics and Analysis 133 Journal of Mathematical Analysis and Applications 113 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 108 Journal of Functional Analysis 84 Communications in Partial Differential Equations 79 Discrete and Continuous Dynamical Systems 72 SIAM Journal on Mathematical Analysis 61 Communications in Mathematical Physics 61 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 55 Journal of Mathematical Physics 51 Transactions of the American Mathematical Society 48 ZAMP. Zeitschrift für angewandte Mathematik und Physik 47 Proceedings of the American Mathematical Society 45 Communications on Pure and Applied Mathematics 43 Journal of Mathematical Fluid Mechanics 42 Mathematische Annalen 42 Communications on Pure and Applied Analysis 41 Nonlinear Analysis. Real World Applications 38 Advances in Mathematics 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 35 Mathematical Methods in the Applied Sciences 35 The Journal of Geometric Analysis 35 Acta Mathematica Sinica. English Series 30 Communications in Contemporary Mathematics 30 Science China. Mathematics 29 Manuscripta Mathematica 29 Mathematische Zeitschrift 28 Annali di Matematica Pura ed Applicata. Serie Quarta 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Journal of the European Mathematical Society (JEMS) 25 Applied Mathematics Letters 22 Acta Applicandae Mathematicae 20 Applicable Analysis 20 Nonlinearity 19 Computers & Mathematics with Applications 19 Journal of Computational Physics 19 Inventiones Mathematicae 18 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 Duke Mathematical Journal 17 Physica D 17 Journal of Evolution Equations 17 Boundary Value Problems 15 Chinese Annals of Mathematics. Series B 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Applied Mathematics and Computation 14 Discrete and Continuous Dynamical Systems. Series B 14 Acta Mathematica Scientia. Series B. (English Edition) 13 Journal d’Analyse Mathématique 13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 13 Potential Analysis 13 Abstract and Applied Analysis 13 Discrete and Continuous Dynamical Systems. Series S 12 Annals of Global Analysis and Geometry 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Journal of Scientific Computing 11 Science in China. Series A 11 Journal of Mathematical Sciences (New York) 11 NoDEA. Nonlinear Differential Equations and Applications 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Mathematics of Computation 10 Bulletin of the American Mathematical Society. New Series 10 Journal of Nonlinear Science 10 Analysis & PDE 9 Advances in Calculus of Variations 8 Computer Methods in Applied Mechanics and Engineering 8 Memoirs of the American Mathematical Society 8 Geometric and Functional Analysis. GAFA 8 SIAM Journal on Applied Mathematics 8 SIAM Journal on Scientific Computing 8 St. Petersburg Mathematical Journal 8 Annals of Mathematics. Second Series 8 Complex Variables and Elliptic Equations 8 Journal of Fixed Point Theory and Applications 8 Advances in Nonlinear Analysis 8 Nonlinear Analysis. Theory, Methods & Applications 7 Annales de l’Institut Fourier 7 Indiana University Mathematics Journal 7 Mathematische Nachrichten 7 Acta Mathematicae Applicatae Sinica. English Series 7 Multiscale Modeling & Simulation 7 Annals of PDE 7 AIMS Mathematics 6 Bulletin of the Australian Mathematical Society 6 Journal of Geometry and Physics 6 Acta Mathematica 6 Geometriae Dedicata 6 Journal of Computational and Applied Mathematics 6 Pacific Journal of Mathematics 6 Revista Matemática Iberoamericana 6 Journal of the American Mathematical Society 6 Asymptotic Analysis 6 Journal of Dynamics and Differential Equations 6 Journal of Inequalities and Applications 6 Analysis and Applications (Singapore) 6 Kinetic and Related Models 5 Applied Numerical Mathematics 5 International Journal of Mathematics 5 European Journal of Applied Mathematics ...and 222 more Serials
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### Cited in 52 Fields

 2,588 Partial differential equations (35-XX) 1,087 Fluid mechanics (76-XX) 436 Global analysis, analysis on manifolds (58-XX) 316 Calculus of variations and optimal control; optimization (49-XX) 273 Differential geometry (53-XX) 261 Statistical mechanics, structure of matter (82-XX) 144 Numerical analysis (65-XX) 127 Mechanics of deformable solids (74-XX) 99 Functional analysis (46-XX) 93 Quantum theory (81-XX) 68 Operator theory (47-XX) 62 Probability theory and stochastic processes (60-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 58 Potential theory (31-XX) 57 Optics, electromagnetic theory (78-XX) 41 Real functions (26-XX) 39 Ordinary differential equations (34-XX) 37 Dynamical systems and ergodic theory (37-XX) 31 Biology and other natural sciences (92-XX) 31 Systems theory; control (93-XX) 28 Measure and integration (28-XX) 23 Several complex variables and analytic spaces (32-XX) 21 Functions of a complex variable (30-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Algebraic topology (55-XX) 18 Manifolds and cell complexes (57-XX) 17 Topological groups, Lie groups (22-XX) 13 Relativity and gravitational theory (83-XX) 11 Convex and discrete geometry (52-XX) 11 Geophysics (86-XX) 10 Difference and functional equations (39-XX) 10 General topology (54-XX) 10 Mechanics of particles and systems (70-XX) 8 Computer science (68-XX) 7 Algebraic geometry (14-XX) 7 Approximations and expansions (41-XX) 7 Integral equations (45-XX) 6 Combinatorics (05-XX) 6 Geometry (51-XX) 6 Operations research, mathematical programming (90-XX) 5 Abstract harmonic analysis (43-XX) 5 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Astronomy and astrophysics (85-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Statistics (62-XX) 1 History and biography (01-XX)

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