Edit Profile (opens in new tab) Lin, Fang Hua Co-Author Distance 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: 228 Publications since 1985, including 5 Books 7 Contributions as Editor · 1 Further Contribution Co-Authors: 74 Co-Authors with 180 Joint Publications 2,853 Co-Co-Authors all top 5 Co-Authors 55 single-authored 23 Hardt, Robert M. 18 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 6 Wei, Juncheng 5 Kenig, Carlos Eduardo 5 Kinderlehrer, David 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 Sire, Yannick 2 Tong, Jiajun 2 Wang, Xueping 2 Zhang, Zhifei 2 Zhou, Yi 2 Zhou, Yifu 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 Fei, Mingwen 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 Lin, Zhengjiang 1 Liu, Dan 1 Masmoudi, Nader 1 Mayboroda, Svitlana 1 Mou, Libin 1 Rabinowitz, Paul Henry 1 Tarantello, Gabriella 1 Tian, Gang 1 Toro, Tatiana 1 Varadhan, S. R. Srinivasa 1 Wang, Lihe 1 Wang, Wei 1 Xu, Li 1 Yan, Xiaodong 1 Yang, Xiaoping 1 Yau, Shing-Tung 1 Zhang, Ping 1 Zhang, Qi-Shuhuason 1 Zhang, Ting 1 Zhu, Jiuyi all top 5 Serials 53 Communications on Pure and Applied Mathematics 10 Archive for Rational Mechanics and Analysis 10 Discrete and Continuous Dynamical Systems 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 Inventiones Mathematicae 4 Communications in Analysis and Geometry 4 Methods and Applications of Analysis 4 Journal of the European Mathematical Society (JEMS) 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 2 Science China. Mathematics 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 Scientia Sinica. Mathematica all top 5 Fields 169 Partial differential equations (35-XX) 65 Global analysis, analysis on manifolds (58-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 45 Fluid mechanics (76-XX) 32 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) 4 Manifolds and cell complexes (57-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 199 Publications have been cited 6,778 times in 3,684 Documents Cited by ▼ Year ▼ Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084Lin, Fang-Hua; Liu, Chun 332 1995 A new proof of the Caffarelli-Kohn-Nirenberg theorem. Zbl 0958.35102Lin, Fanghua 232 1998 Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Zbl 0703.35173Lin, Fanghua 231 1989 Liquid crystal flows in two dimensions. Zbl 1346.76011Lin, Fanghua; Lin, Junyu; Wang, Changyou 210 2010 On hydrodynamics of viscoelastic fluids. Zbl 1076.76006Lin, Fang-Hua; Liu, Chun; Zhang, Ping 204 2005 Monotonicity properties of variational integrals, \(A_ p\) weights and unique continuation. Zbl 0678.35015Garofalo, Nicola; Lin, Fang-Hua 199 1986 Compactness methods in the theory of homogenization. Zbl 0632.35018Avellaneda, Marco; Lin, Fang-Hua 177 1987 Unique continuation for elliptic operators: A geometric-variational approach. Zbl 0674.35007Garofalo, Nicola; Lin, Fang-Hua 168 1987 Global small solutions of 2-D incompressible MHD system. Zbl 1321.35138Lin, Fanghua; Xu, Li; Zhang, Ping 160 2015 Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua 158 1986 Mappings minimizing the \(L^ p\) norm of the gradient. Zbl 0646.49007Hardt, Robert; Lin, Fanghua 142 1987 Existence of solutions for the Ericksen-Leslie system. Zbl 0963.35158Lin, Fang-Hua; Liu, Chun 138 2000 Global small solutions to an MHD-type system: the three-dimensional case. Zbl 1298.35153Lin, Fanghua; Zhang, Ping 118 2014 Elliptic partial differential equations. 2nd ed. Zbl 1210.35031Han, Qing; Lin, Fanghua 108 2011 On the initial-boundary value problem of the incompressible viscoelastic fluid system. Zbl 1137.35414Lin, Fanghua; Zhang, Ping 100 2008 Nodal sets of solutions of elliptic and parabolic equations. Zbl 0734.58045Lin, Fang-Hua 100 1991 On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals. Zbl 1208.35002Lin, Fanghua; Wang, Changyou 95 2010 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 92 2012 Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098Lin, Fang-Hua; Liu, Chun 91 1996 Global mild solutions of Navier-Stokes equations. Zbl 1225.35165Lei, Zhen; Lin, Fang-Hua 91 2011 Global existence of weak solutions of the nematic liquid crystal flow in dimension three. Zbl 1349.35299Lin, Fanghua; Wang, Changyou 90 2016 Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102Ding, Yanheng; Lin, Fanghua 85 2007 Some dynamical properties of Ginzburg-Landau vortices. Zbl 0853.35058Lin, Fang Hua 84 1996 \(L^ p\) bounds on singular integrals in homogenization. Zbl 0761.42008Avellaneda, M.; Lin, Fang Hua 82 1991 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 81 2013 Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004Lin, Fanghua; Wang, Changyou 78 2014 Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. Zbl 1194.35138Caffarelli, L. A.; Lin, Fang-Hua 74 2008 Elliptic partial differential equations. Reprint of the 1997 orig. Zbl 1052.35505Han, Qing; Lin, Fanghua 71 1997 On the number of interior peak solutions for a singularly perturbed Neumann problem. Zbl 1170.35424Lin, Fang-Hua; Ni, Wei-Ming; Wei, Jun-Cheng 68 2007 Regularity of an elliptic problem with a singular nonlinearity. Zbl 0805.35032Gui, Changfeng; Lin, Fang Hua 65 1993 Static and dynamic theories of liquid crystals. Zbl 1433.82014Lin, Fanghua; Liu, Chun 64 2001 The analysis of harmonic maps and their heat flows. Zbl 1203.58004Lin, Fanghua; Wang, Changyou 63 2008 Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\). Zbl 1298.35147Huang, Jinrui; Lin, Fanghua; Wang, Changyou 62 2014 Some analytical issues for elastic complex fluids. Zbl 1426.76041Lin, Fanghua 60 2012 Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001Lin, Fanghua; Yang, Yisong 59 2007 Gradient estimates and blow-up analysis for stationary harmonic maps. Zbl 0949.58017Lin, Fang-Hua 59 1999 Topology of Sobolev mappings. II. Zbl 1061.46032Hang, Fengbo; Lin, Fanghua 57 2003 An optimal partition problem for eigenvalues. Zbl 1123.65060Cafferelli, L. A.; Lin, Fang Hua 56 2007 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 56 2014 A uniqueness theorem for parabolic equations. Zbl 0727.35063Lin, Fang Hua 55 1990 Geometric measure theory. An introduction. Zbl 1074.49011Lin, Fanghua; Yang, Xiaoping 54 2002 Elliptic partial differential equations. Zbl 1051.35031Han, Qing; Lin, Fanghua 53 1997 Harmonic and quasi-harmonic spheres. Zbl 0934.58018Lin, Fanghua; Wang, Changyou 49 1999 Compactness methods in the theory of homogenization. II: Equations in non-divergence form. Zbl 0645.35019Avellaneda, Marco; Lin, Fang-Hua 47 1989 Energy identity of harmonic map flows from surfaces at finite singular time. Zbl 0908.58008Lin, Fanghua; Wang, Changyou 47 1998 A remark on \(H^ 1\) mappings. Zbl 0618.58015Hardt, Robert; Lin, Fang-Hua 45 1986 On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145Lin, F.-H.; Xin, J. X. 45 1999 Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents. Zbl 0939.35056Lin, Fanghua; Rivière, Tristan 44 1999 On nematic liquid crystals with variable degree of orientation. Zbl 0733.49005Lin, Fang Hua 44 1991 Stable defects of minimizers of constrained variational principles. Zbl 0657.49018Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua 41 1988 On the Dirichlet problem for minimal graphs in hyperbolic space. Zbl 0707.35028Lin, Fanghua 40 1989 Evolution of harmonic maps with Dirichlet boundary conditions. Zbl 0845.35049Chen, Yunmei; Lin, Fang Hua 38 1993 A quantization property for static Ginzburg-Landau vortices. Zbl 1033.58013Lin, Fang-Hua; Rivière, Tristan 38 2001 Homogenization of elliptic problems with \(L^p\) boundary data. Zbl 0644.35034Avellaneda, Marco; Lin, Fang-Hua 36 1987 On the hydrodynamic limit of Ginzburg-Landau vortices. Zbl 1034.35128Lin, Fanghua; Zhang, Ping 36 2000 Global solutions of two-dimensional incompressible viscoelastic flows with discontinuous initial data. Zbl 1334.35236Hu, Xianpeng; Lin, Fanghua 35 2016 On the global existence of smooth solution to the 2-D FENE dumbbell model. Zbl 1143.82035Lin, Fanghua; Zhang, Ping; Zhang, Zhifei 34 2008 Une remarque sur l’application x/\(| x|\). (A remark on the map x/\(| x|)\). Zbl 0652.58022Lin, Fang-Hua 33 1987 Global small solutions to a complex fluid model in three dimensional. Zbl 1325.35167Lin, Fanghua; Zhang, Ting 33 2015 Harmonic and quasi-harmonic spheres. II. Zbl 1042.58005Lin, FangHua; Wang, ChangYou 33 2002 On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017Lin, Fang-Hua; Liu, Chun; Zhang, Ping 33 2007 Un théorème de Liouville pour des équations elliptiques à coefficients périodiques. (A Liouville theorem for elliptic equations with periodic coefficients). Zbl 0691.35022Avellaneda, Marco; Lin, Fang-Hua 31 1989 Topology of Sobolev mappings. Zbl 1049.46018Hang, Fengbo; Lin, Fanghua 31 2001 Geometric measure of singular sets of elliptic equations. Zbl 0940.35065Han, Qing; Hardt, Robert; Lin, Fanghua 31 1998 Second derivative \(L^ p\)-estimates for elliptic equations of nondivergent type. Zbl 0599.35039Lin, Fanghua 30 1986 Ginzburg-Landau vortices: dynamics, pinning, and hysteresis. Zbl 0888.35054Lin, Fang-Hua; Du, Qiang 30 1997 Solutions of Ginzburg-Landau equations and critical points of the renormalized energy. Zbl 0845.35052Lin, Fang Hua 30 1995 Finite time singularity of the nematic liquid crystal flow in dimension three. Zbl 1344.35104Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou 29 2016 Partially constrained boundary conditions with energy minimizing mappings. Zbl 0686.35035Hardt, Robert; Lin, Fang Hua 27 1989 The geometry of solutions to a segregation problem for nondivergence systems. Zbl 1217.35015Caffarelli, L. A.; Karakhanyan, A. L.; Lin, Fang-Hua 27 2009 Structure of helicity and global solutions of incompressible Navier-Stokes equation. Zbl 1327.35300Lei, Zhen; Lin, Fang-Hua; Zhou, Yi 25 2015 On the elliptic equation \(D_ i[a_{ij}(x)D_ jU]-k(x)U+K(x)U^ p=0\). Zbl 0584.35031Lin, Fang-Hua 25 1985 Energy quantization for harmonic maps. Zbl 1014.58008Lin, Fang-Hua; Rivière, Tristan 24 2002 Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds. Zbl 0932.35121Lin, Fang Hua 23 1998 Existence of energy minimizers as stable knotted solitons in the Faddeev model. Zbl 1065.81118Lin, Fanghua; Yang, Yisong 23 2004 Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space. Zbl 0633.49020Hardt, Robert; Lin, Fang-Hua 22 1987 Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 22 2013 A partial answer to a conjecture of B. Simon concerning unique continuation. Zbl 0703.35029Fabes, Eugene B.; Garofalo, Nicola; Lin, Fang-Hua 21 1990 On the two-dimensional Muskat problem with monotone large initial data. Zbl 1457.76053Deng, Fan; Lei, Zhen; Lin, Fanghua 21 2017 Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain. Zbl 1079.76016Lin, Fanghua; Zhang, Ping 21 2006 Existence of two-dimensional Skyrmions via the concentration-compactness method. Zbl 1059.81184Lin, Fanghua; Yang, Yisong 20 2004 On ancient solutions of the heat equation. Zbl 1461.35098Lin, Fanghua; Zhang, Q. S. 20 2019 Nonlocal heat flows preserving the \(L^2\) energy. Zbl 1154.35364Caffarelli, Luis; Lin, Fanghua 19 2009 Traveling wave solutions of the Schrödinger map equation. Zbl 1206.35062Lin, Fanghua; Wei, Juncheng 19 2010 Nodal sets of solutions of parabolic equations. II. Zbl 0807.35052Han, Qing; Lin, Fang Hua 19 1994 Static theory for planar ferromagnets and antiferromagnets. Zbl 0987.82017Hang, Feng Bo; Lin, Fang Hua 18 2001 Singularities for \(p\)-energy minimizing unit vector fields on planar domains. Zbl 0828.58008Hardt, Robert; Lin, Fanghua 18 1995 Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. Zbl 1439.35391Cai, Yuan; Lei, Zhen; Lin, Fanghua; Masmoudi, Nader 18 2019 Regularity for shape optimizers: the nondegenerate case. Zbl 1404.49026Kriventsov, Dennis; Lin, Fanghua 18 2018 Strong convergence of \(p\)-harmonic mappings. Zbl 0833.35038Hardt, R.; Lin, F. H.; Mou, L. 17 1994 Harmonic and quasi-harmonic spheres. III: Rectifiability of the parabolic defect measure and generalized varifold flows. Zbl 1042.58006Lin, Fanghua; Wang, Changyou 16 2002 Partial regularity for weak heat flows into spheres. Zbl 0827.35024Chen, Yunmei; Li, Jiayu; Lin, Fang-Hua 16 1995 Legendrian energy minimizers. I: Heisenberg group target. Zbl 0997.58006Capogna, Luca; Lin, Fang-Hua 16 2001 Zero set of Sobolev functions with negative power of integrability. Zbl 1119.35014Jiang, Huiqiang; Lin, Fanghua 16 2004 Homogenization of Poisson’s kernel and applications to boundary control. Zbl 0617.35014Avellaneda, Marco; Lin, Fang-Hua 15 1989 Nodal sets of Steklov eigenfunctions. Zbl 1327.35263Bellová, Katarína; Lin, Fang-Hua 15 2015 Stability of singularities of minimizing harmonic maps. Zbl 0673.58016Hardt, Robert; Lin, Fanghau 15 1989 Variational problems with free interfaces. Zbl 0794.49038Lin, Fang Hua 15 1993 Axially symmetric harmonic maps minimizing a relaxed energy. Zbl 0769.58012Hardt, Robert; Lin, Fang-Hua; Poon, Chi-Cheung 15 1992 A quantization property for moving line vortices. Zbl 1029.35127Lin, Fang-Hua; Rivière, Tristan 15 2001 Finite time blowup for the nematic liquid crystal flow in dimension two. Zbl 1489.76008Lai, Chen-Chih; Lin, Fanghua; Wang, Changyou; Wei, Juncheng; Zhou, Yifu 4 2022 Uniform boundary controllability and homogenization of wave equations. Zbl 1492.35393Lin, Fanghua; Shen, Zhongwei 2 2022 Riesz transform under perturbations via heat kernel regularity. Zbl 1433.58023Jiang, Renjin; Lin, Fanghua 4 2020 On current developments in partial differential equations. Zbl 1463.35001Lin, Fanghua 4 2020 On the viscous Camassa-Holm equations with fractional diffusion. Zbl 1473.35627Gan, Zaihui; Lin, Fanghua; Tong, Jiajun 2 2020 On ancient solutions of the heat equation. Zbl 1461.35098Lin, Fanghua; Zhang, Q. S. 20 2019 Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. Zbl 1439.35391Cai, Yuan; Lei, Zhen; Lin, Fanghua; Masmoudi, Nader 18 2019 Regularity for shape optimizers: the degenerate case. Zbl 1430.49044Kriventsov, Dennis; Lin, Fanghua 12 2019 Solvability of the Stokes immersed boundary problem in two dimensions. Zbl 1406.35289Lin, Fang-Hua; Tong, Jiajun 8 2019 Nodal sets and doubling conditions in elliptic homogenization. Zbl 1421.35074Lin, Fanghua; Shen, Zhongwei 4 2019 Harmonic maps in connection of phase transitions with higher dimensional potential wells. Zbl 1429.35077Lin, Fanghua; Wang, Changyou 3 2019 Superfluids passing an obstacle and vortex nucleation. Zbl 1437.35237Lin, Fanghua; Wei, Juncheng 1 2019 Regularity for shape optimizers: the nondegenerate case. Zbl 1404.49026Kriventsov, Dennis; Lin, Fanghua 18 2018 On the two-dimensional Muskat problem with monotone large initial data. Zbl 1457.76053Deng, Fan; Lei, Zhen; Lin, Fanghua 21 2017 Defects of liquid crystals with variable degree of orientation. Zbl 1418.58005Alper, Onur; Hardt, Robert; Lin, Fang-Hua 5 2017 Extremum problems of Laplacian eigenvalues and generalized Polya conjecture. Zbl 1515.35167Lin, Fanghua 4 2017 Global existence of weak solutions of the nematic liquid crystal flow in dimension three. Zbl 1349.35299Lin, Fanghua; Wang, Changyou 90 2016 Global solutions of two-dimensional incompressible viscoelastic flows with discontinuous initial data. Zbl 1334.35236Hu, Xianpeng; Lin, Fanghua 35 2016 Finite time singularity of the nematic liquid crystal flow in dimension three. Zbl 1344.35104Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou 29 2016 Lectures on elliptic free boundary problems. Zbl 1349.35002Lin, Fanghua 3 2016 On the Betti numbers of level sets of solutions to elliptic equations. Zbl 1336.35130Lin, Fanghua; Liu, Dan 1 2016 Lectures on the analysis of nonlinear partial differential equations. Part 4. Zbl 1342.35006 1 2016 Global small solutions of 2-D incompressible MHD system. Zbl 1321.35138Lin, Fanghua; Xu, Li; Zhang, Ping 160 2015 Global small solutions to a complex fluid model in three dimensional. Zbl 1325.35167Lin, Fanghua; Zhang, Ting 33 2015 Structure of helicity and global solutions of incompressible Navier-Stokes equation. Zbl 1327.35300Lei, Zhen; Lin, Fang-Hua; Zhou, Yi 25 2015 Nodal sets of Steklov eigenfunctions. Zbl 1327.35263Bellová, Katarína; Lin, Fang-Hua 15 2015 Global small solutions to an MHD-type system: the three-dimensional case. Zbl 1298.35153Lin, Fanghua; Zhang, Ping 118 2014 Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004Lin, Fanghua; Wang, Changyou 78 2014 Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\). Zbl 1298.35147Huang, Jinrui; Lin, Fanghua; Wang, Changyou 62 2014 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 56 2014 Scaling limit for compressible viscoelastic fluids. Zbl 1426.76040Hu, Xianpeng; Lin, Fanghua 1 2014 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 81 2013 Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 22 2013 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 92 2012 Some analytical issues for elastic complex fluids. Zbl 1426.76041Lin, Fanghua 60 2012 Phase transition for potentials of high-dimensional wells. Zbl 1248.49059Lin, Fanghua; Pan, Xing-Bin; Wang, Changyou 14 2012 Erratum: On the Dirichlet problem for minimal graphs in hyperbolic space. Zbl 1241.35037Lin, Fanghua 3 2012 On magnetohydrodynamics with partial magnetic dissipation near equilibrium. Zbl 1317.35201Hu, Xianpeng; Lei, Zhen; Lin, Fang-Hua 1 2012 Elliptic partial differential equations. 2nd ed. Zbl 1210.35031Han, Qing; Lin, Fanghua 108 2011 Global mild solutions of Navier-Stokes equations. Zbl 1225.35165Lei, Zhen; Lin, Fang-Hua 91 2011 Global solutions of the evolutionary Faddeev model with small initial data. Zbl 1209.35073Lei, Zhen; Lin, Fang Hua; Zhou, Yi 9 2011 Existence of dyons in the coupled Georgi-Glashow-Skyrme model. Zbl 1213.81219Lin, Fanghua; Yang, Yisong 2 2011 Liquid crystal flows in two dimensions. Zbl 1346.76011Lin, Fanghua; Lin, Junyu; Wang, Changyou 210 2010 On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals. Zbl 1208.35002Lin, Fanghua; Wang, Changyou 95 2010 Traveling wave solutions of the Schrödinger map equation. Zbl 1206.35062Lin, Fanghua; Wei, Juncheng 19 2010 Analysis on the junctions of domain walls. Zbl 1193.35255Caffarelli, Luis A.; Lin, Fang Hua 9 2010 The geometry of solutions to a segregation problem for nondivergence systems. Zbl 1217.35015Caffarelli, L. A.; Karakhanyan, A. L.; Lin, Fang-Hua 27 2009 Nonlocal heat flows preserving the \(L^2\) energy. Zbl 1154.35364Caffarelli, Luis; Lin, Fanghua 19 2009 Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem. Zbl 1157.65401Du, Qiang; Lin, Fanghua 12 2009 Existence of Faddeev knots in general Hopf dimensions. Zbl 1197.58006Hang, Fengbo; Lin, Fanghua; Yang, Yisong 4 2009 On regularity and singularity of free boundaries in obstacle problems. Zbl 1187.35292Lin, Fanghua 4 2009 Skyrmions in Gross-Pitaevskii functionals. Zbl 1212.35127Lin, Fanghua; Lin, Taichia; Wei, Juncheng 1 2009 On the initial-boundary value problem of the incompressible viscoelastic fluid system. Zbl 1137.35414Lin, Fanghua; Zhang, Ping 100 2008 Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. Zbl 1194.35138Caffarelli, L. A.; Lin, Fang-Hua 74 2008 The analysis of harmonic maps and their heat flows. Zbl 1203.58004Lin, Fanghua; Wang, Changyou 63 2008 On the global existence of smooth solution to the 2-D FENE dumbbell model. Zbl 1143.82035Lin, Fanghua; Zhang, Ping; Zhang, Zhifei 34 2008 The FENE dumbbell model near equilibrium. Zbl 1143.76008Lin, Fanghua; Zhang, Ping 6 2008 On the isometric embedding of torus in \(\mathbb R^3\). Zbl 1178.53050Han, Qing; Lin, Fanghua 4 2008 Complexity of solutions of partial differential equations. Zbl 1158.35007Lin, Fang Hua 1 2008 Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102Ding, Yanheng; Lin, Fanghua 85 2007 On the number of interior peak solutions for a singularly perturbed Neumann problem. Zbl 1170.35424Lin, Fang-Hua; Ni, Wei-Ming; Wei, Jun-Cheng 68 2007 Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001Lin, Fanghua; Yang, Yisong 59 2007 An optimal partition problem for eigenvalues. Zbl 1123.65060Cafferelli, L. A.; Lin, Fang Hua 56 2007 On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017Lin, Fang-Hua; Liu, Chun; Zhang, Ping 33 2007 Energy splitting, substantial inequality, and minimization for the Faddeev and Skyrme models. Zbl 1113.81096Lin, Fanghua; Yang, Yisong 12 2007 Magnetic field-induced instabilities in liquid crystals. Zbl 1128.82021Lin, Fanghua; Pan, Xing-Bin 12 2007 Analysis on Faddeev knots and skyrme solitons: recent progress and open problems. Zbl 1200.81106Lin, Fanghua; Yang, Yisong 11 2007 Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain. Zbl 1079.76016Lin, Fanghua; Zhang, Ping 21 2006 Semiclassical states of Hamiltonian system of Schrödinger equations with subcritical and critical nonlinearities. Zbl 1104.35051Ding, Yanheng; Lin, Fanghua 14 2006 Stable stationary harmonic maps to spheres. Zbl 1121.58017Lin, Fang Hua; Wang, Chang You 7 2006 Static knot energy, Hopf charge, and universal growth law. Zbl 1178.58005Lin, Fanghua; Yang, Yisong 4 2006 On hydrodynamics of viscoelastic fluids. Zbl 1076.76006Lin, Fang-Hua; Liu, Chun; Zhang, Ping 204 2005 Topology of Sobolev mappings. IV. Zbl 1093.46017Hang, Fengbo; Lin, Fanghua 7 2005 Existence of energy minimizers as stable knotted solitons in the Faddeev model. Zbl 1065.81118Lin, Fanghua; Yang, Yisong 23 2004 Existence of two-dimensional Skyrmions via the concentration-compactness method. Zbl 1059.81184Lin, Fanghua; Yang, Yisong 20 2004 Zero set of Sobolev functions with negative power of integrability. Zbl 1119.35014Jiang, Huiqiang; Lin, Fanghua 16 2004 A new type of free boundary problem with volume constraint. Zbl 1067.49030Jiang, Huiqiang; Lin, Fanghua 3 2004 Topology of Sobolev mappings. II. Zbl 1061.46032Hang, Fengbo; Lin, Fanghua 57 2003 Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices. Zbl 1141.58304Lin, Fanghua; Yang, Yisong 15 2003 Topology of Sobolev mappings. III. Zbl 1038.46026Hang, Fengbo; Lin, Fanghua 15 2003 Vortices in \(p\)-wave superconductivity. Zbl 1126.82343Lin, Fanghua; Lin, Tai-Chia 8 2003 Singular sets of higher order elliptic equations. Zbl 1290.35065Han, Qing; Hardt, Robert; Lin, Fanghua 8 2003 Soliton dynamics in planar ferromagnets and anti-ferromagnets. Zbl 1162.37332Lin, Fanghua; Shatah, Jalal 5 2003 Remarks on a backward parabolic problem. Zbl 1085.35026Lin, Fanghua 2 2003 Multiple time scale dynamics in coupled Ginzburg-Landau equations. Zbl 1160.82368Lin, Fanghua; Lin, Tai-Chia 2 2003 Geometric measure theory. An introduction. Zbl 1074.49011Lin, Fanghua; Yang, Xiaoping 54 2002 Harmonic and quasi-harmonic spheres. II. Zbl 1042.58005Lin, FangHua; Wang, ChangYou 33 2002 Energy quantization for harmonic maps. Zbl 1014.58008Lin, Fang-Hua; Rivière, Tristan 24 2002 Harmonic and quasi-harmonic spheres. III: Rectifiability of the parabolic defect measure and generalized varifold flows. Zbl 1042.58006Lin, Fanghua; Wang, Changyou 16 2002 Time evolution of nematic liquid crystals with variable degree of orientation. Zbl 1003.35108Calderer, M. C.; Golovaty, D.; Lin, F.-H.; Liu, C. 13 2002 A Liouville type theorem for minimizing maps. Zbl 1084.58004Hang, Fengbo; Lin, Fanghua 5 2002 Vortices in two-dimensional Bose-Einstein condensates. Zbl 1009.35081Lin, FangHua; Lin, Tai-Chia 3 2002 On the hydrodynamic limit of Ginzburg-Landau wave vortices. Zbl 1033.35089Lin, Fanghua; Zhang, Ping 2 2002 Static and dynamic theories of liquid crystals. Zbl 1433.82014Lin, Fanghua; Liu, Chun 64 2001 A quantization property for static Ginzburg-Landau vortices. Zbl 1033.58013Lin, Fang-Hua; Rivière, Tristan 38 2001 Topology of Sobolev mappings. Zbl 1049.46018Hang, Fengbo; Lin, Fanghua 31 2001 Static theory for planar ferromagnets and antiferromagnets. Zbl 0987.82017Hang, Feng Bo; Lin, Fang Hua 18 2001 Legendrian energy minimizers. I: Heisenberg group target. Zbl 0997.58006Capogna, Luca; Lin, Fang-Hua 16 2001 A quantization property for moving line vortices. Zbl 1029.35127Lin, Fang-Hua; Rivière, Tristan 15 2001 Varifold type theory for Sobolev mappings. Zbl 1056.58007Lin, Fanghua 4 2001 ...and 99 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,144 Authors 80 Lin, Fang Hua 44 Wang, Changyou 44 Wei, Juncheng 33 Liu, Qiao 30 Zhang, Zhifei 28 Wu, Jiahong 24 Terracini, Susanna 23 Liu, Chun 23 Yao, Zhengan 22 Bethuel, Fabrice 21 Lei, Zhen 21 Zhang, Ping 20 Fan, Jishan 20 Liu, Zuhan 19 Hu, Xianpeng 19 Jiang, Fei 19 Pan, Xingbin 18 Felli, Veronica 18 Wang, Dehua 18 Wang, Kelei 17 Byun, Sun-Sig 17 Dong, Hongjie 17 Hong, Minchun 17 Jost, Jürgen 17 Kukavica, Igor 17 Orlandi, Giandomenico 17 Zhai, Xiaoping 16 Garofalo, Nicola 16 Kenig, Carlos Eduardo 16 Li, Jiayu 16 Rivière, Tristan 16 Shen, Zhongwei 16 Yang, Minbo 16 Zhang, Ting 15 Guo, Boling 15 Hardt, Robert M. 15 Lei, Yutian 15 Wang, Wei 15 Yang, Xiaofeng 15 Yin, Zhaoyang 14 Banerjee, Agnid 14 Huang, Tao 14 Moser, Roger 14 Suslina, Tat’yana Aleksandrovna 14 Tan, Zhong 14 Vessella, Sergio 14 Yang, Xiaoping 14 Zarnescu, Arghir Dani 14 Zi, Ruizhao 13 Ding, Shijin 13 Gloria, Antoine 13 Isobe, Takeshi 13 Liang, Sihua 13 Otto, Felix 13 Serfaty, Sylvia 13 Wang, Wendong 13 Wang, Yanqing 13 Zhuge, Jinping 12 Brézis, Haïm 12 Canevari, Giacomo 12 Geng, Jun 12 Guillén González, Francisco M. 12 Huang, Jinrui 12 Jerrard, Robert Leon 12 Jiang, Song 12 Lin, Junyu 12 Masmoudi, Nader 12 Mironescu, Petru 12 Smets, Didier 12 Tavares, Hugo 12 Van Schaftingen, Jean 12 Wu, Gang 12 Yu, Yong 12 Yuan, Baoquan 12 Zhu, Miaomiao 12 Zilio, Alessandro 11 Ambrosio, Luigi 11 Choe, Hi Jun 11 Ding, Yanheng 11 Jian, Huai-Yu 11 Liu, Hairong 11 Liu, Lei 11 Liu, Xiangao 11 Niu, Weisheng 11 Soave, Nicola 11 Spirn, Daniel P. 11 Wang, Yinxia 11 Zhang, Pingwen 11 Zhong, Xin 11 Zhou, Yi 11 Zhu, Jiuyi 11 Zhu, Yi 10 Alazard, Thomas 10 Armstrong, Scott N. 10 Del Pino, Manuel A. 10 Du, Qiang 10 Fang, Daoyuan 10 Han, Pigong 10 Han, Qing 10 Jiang, Ning ...and 3,044 more Authors all top 5 Cited in 346 Serials 236 Journal of Differential Equations 212 Calculus of Variations and Partial Differential Equations 171 Archive for Rational Mechanics and Analysis 143 Journal of Mathematical Analysis and Applications 123 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 121 Journal of Functional Analysis 88 SIAM Journal on Mathematical Analysis 87 Discrete and Continuous Dynamical Systems 84 Communications in Partial Differential Equations 65 Communications in Mathematical Physics 65 Journal of Mathematical Physics 64 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 54 Transactions of the American Mathematical Society 53 ZAMP. Zeitschrift für angewandte Mathematik und Physik 53 Proceedings of the American Mathematical Society 48 Communications on Pure and Applied Mathematics 48 Communications on Pure and Applied Analysis 47 Journal of Mathematical Fluid Mechanics 46 Mathematische Annalen 46 The Journal of Geometric Analysis 44 Advances in Mathematics 43 Nonlinear Analysis. Real World Applications 40 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Mathematical Methods in the Applied Sciences 36 Acta Mathematica Sinica. English Series 35 Communications in Contemporary Mathematics 34 Science China. Mathematics 32 Mathematische Zeitschrift 30 Annali di Matematica Pura ed Applicata. Serie Quarta 30 Manuscripta Mathematica 30 Journal of the European Mathematical Society (JEMS) 28 Applied Mathematics Letters 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Applicable Analysis 26 Nonlinearity 24 Boundary Value Problems 23 Acta Applicandae Mathematicae 22 Inventiones Mathematicae 21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Computers & Mathematics with Applications 20 Journal of Computational Physics 20 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 20 Journal of Evolution Equations 18 Chinese Annals of Mathematics. Series B 18 Physica D 17 Duke Mathematical Journal 17 Discrete and Continuous Dynamical Systems. Series B 17 Acta Mathematica Scientia. Series B. (English Edition) 17 Discrete and Continuous Dynamical Systems. Series S 15 Applied Mathematics and Computation 15 Annals of Global Analysis and Geometry 14 Potential Analysis 14 Analysis & PDE 13 Journal d’Analyse Mathématique 13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 13 NoDEA. Nonlinear Differential Equations and Applications 13 Abstract and Applied Analysis 12 Mathematics of Computation 12 Journal of Nonlinear Science 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Journal of the London Mathematical Society. Second Series 11 Journal of Scientific Computing 11 Science in China. Series A 11 Journal of Mathematical Sciences (New York) 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Advances in Calculus of Variations 11 Advances in Nonlinear Analysis 10 Computer Methods in Applied Mechanics and Engineering 10 Indiana University Mathematics Journal 10 Mathematische Nachrichten 10 Bulletin of the American Mathematical Society. New Series 10 SIAM Journal on Scientific Computing 9 Journal of Computational and Applied Mathematics 9 Journal für die Reine und Angewandte Mathematik 9 Asymptotic Analysis 9 Geometric and Functional Analysis. GAFA 9 SIAM Journal on Applied Mathematics 9 St. Petersburg Mathematical Journal 9 Analysis and Applications (Singapore) 9 Journal of Fixed Point Theory and Applications 8 Memoirs of the American Mathematical Society 8 Acta Mathematicae Applicatae Sinica. English Series 8 European Journal of Applied Mathematics 8 Journal of Dynamics and Differential Equations 8 Annals of Mathematics. Second Series 8 Advanced Nonlinear Studies 8 Complex Variables and Elliptic Equations 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Geometry and Physics 7 Annales de l’Institut Fourier 7 Pacific Journal of Mathematics 7 Applied Numerical Mathematics 7 Revista Matemática Iberoamericana 7 Multiscale Modeling & Simulation 7 Kinetic and Related Models 7 Annals of PDE 7 AIMS Mathematics 6 Bulletin of the Australian Mathematical Society 6 Acta Mathematica 6 Geometriae Dedicata ...and 246 more Serials all top 5 Cited in 53 Fields 2,964 Partial differential equations (35-XX) 1,270 Fluid mechanics (76-XX) 484 Global analysis, analysis on manifolds (58-XX) 348 Calculus of variations and optimal control; optimization (49-XX) 326 Differential geometry (53-XX) 292 Statistical mechanics, structure of matter (82-XX) 174 Numerical analysis (65-XX) 141 Mechanics of deformable solids (74-XX) 111 Functional analysis (46-XX) 101 Quantum theory (81-XX) 82 Operator theory (47-XX) 79 Probability theory and stochastic processes (60-XX) 71 Optics, electromagnetic theory (78-XX) 69 Harmonic analysis on Euclidean spaces (42-XX) 65 Potential theory (31-XX) 50 Real functions (26-XX) 42 Dynamical systems and ergodic theory (37-XX) 39 Ordinary differential equations (34-XX) 39 Biology and other natural sciences (92-XX) 39 Systems theory; control (93-XX) 30 Measure and integration (28-XX) 29 Several complex variables and analytic spaces (32-XX) 26 Functions of a complex variable (30-XX) 23 Classical thermodynamics, heat transfer (80-XX) 21 Algebraic topology (55-XX) 20 Manifolds and cell complexes (57-XX) 17 Topological groups, Lie groups (22-XX) 15 Geophysics (86-XX) 13 Relativity and gravitational theory (83-XX) 11 Convex and discrete geometry (52-XX) 11 Mechanics of particles and systems (70-XX) 10 Difference and functional equations (39-XX) 10 Integral equations (45-XX) 10 General topology (54-XX) 9 Algebraic geometry (14-XX) 9 Approximations and expansions (41-XX) 9 Computer science (68-XX) 8 General and overarching topics; collections (00-XX) 7 Combinatorics (05-XX) 7 Operations research, mathematical programming (90-XX) 6 Abstract harmonic analysis (43-XX) 6 Geometry (51-XX) 5 Special functions (33-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Statistics (62-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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