Fang-Hua Lin - Publications

Affiliations: 
New York University, New York, NY, United States 
Area:
Mathematics

55 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Lin F, Wang C. Harmonic Maps in Connection of Phase Transitions with Higher Dimensional Potential Wells Chinese Annals of Mathematics, Series B. 40: 781-810. DOI: 10.1007/S11401-019-0160-6  0.318
2019 Lin F, Shen Z. Nodal Sets and Doubling Conditions in Elliptic Homogenization Acta Mathematica Sinica. 35: 815-831. DOI: 10.1007/S10114-019-8228-5  0.39
2019 Cai Y, Lei Z, Lin F, Masmoudi N. Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions Communications On Pure and Applied Mathematics. 72: 2063-2120. DOI: 10.1002/Cpa.21853  0.406
2019 Lin F, Zhang QS. On Ancient Solutions of the Heat Equation Communications On Pure and Applied Mathematics. 72: 2006-2028. DOI: 10.1002/Cpa.21820  0.312
2018 Kriventsov D, Lin F. Regularity for Shape Optimizers: The Nondegenerate Case Communications On Pure and Applied Mathematics. 71: 1535-1596. DOI: 10.1002/Cpa.21743  0.321
2017 Lin F. Extremum problems of Laplacian eigenvalues and generalized Polya conjecture Chinese Annals of Mathematics, Series B. 38: 497-512. DOI: 10.1007/S11401-017-1080-Y  0.301
2017 Deng F, Lei Z, Lin F. On the Two‐Dimensional Muskat Problem with Monotone Large Initial Data Communications On Pure and Applied Mathematics. 70: 1115-1145. DOI: 10.1002/Cpa.21669  0.352
2016 Lin F, Liu D. On the Betti numbers of level sets of solutions to elliptic equations Discrete and Continuous Dynamical Systems- Series A. 36: 4517-4529. DOI: 10.3934/Dcds.2016.36.4517  0.364
2016 Huang T, Lin F, Liu C, Wang C. Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three Archive For Rational Mechanics and Analysis. 1-32. DOI: 10.1007/S00205-016-0983-1  0.358
2016 Lin F, Wang C. Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three Communications On Pure and Applied Mathematics. 69: 1532-1571. DOI: 10.1002/Cpa.21583  0.358
2016 Hu X, Lin F. Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data Communications On Pure and Applied Mathematics. 69: 372-404. DOI: 10.1002/Cpa.21561  0.348
2015 Lin F, Xu L, Zhang P. Global small solutions of 2-D incompressible MHD system Journal of Differential Equations. 259: 5440-5485. DOI: 10.1016/J.Jde.2015.06.034  0.371
2015 Lin F, Zhang T. Global Small Solutions to a Complex Fluid Model in Three Dimensional Archive For Rational Mechanics and Analysis. 216: 905-920. DOI: 10.1007/S00205-014-0822-1  0.37
2014 Huang J, Lin F, Wang C. Regularity and Existence of Global Solutions to the Ericksen–Leslie System in {\mathbb{R}^2} Communications in Mathematical Physics. 331: 805-850. DOI: 10.1007/S00220-014-2079-9  0.368
2014 Lin F, Zhang P. Global Small Solutions to an MHD-Type System: The Three-Dimensional Case Communications On Pure and Applied Mathematics. 67: 531-580. DOI: 10.1002/Cpa.21506  0.368
2014 Kenig C, Lin F, Shen Z. Periodic Homogenization of Green and Neumann Functions Communications On Pure and Applied Mathematics. 67: 1219-1262. DOI: 10.1002/Cpa.21482  0.358
2013 Kenig CE, Lin F, Shen Z. Estimates of eigenvalues and eigenfunctions in periodic homogenization Journal of the European Mathematical Society. 15: 1901-1925. DOI: 10.4171/Jems/408  0.318
2013 Kenig CE, Lin F, Shen Z. Homogenization of elliptic systems with Neumann boundary conditions Journal of the American Mathematical Society. 26: 901-937. DOI: 10.1090/S0894-0347-2013-00769-9  0.321
2012 Lin F. Erratum: On the Dirichlet problem for minimal graphs in hyperbolic space Inventiones Mathematicae. 187: 755-757. DOI: 10.1007/S00222-011-0370-3  0.306
2012 Kenig CE, Lin F, Shen Z. Convergence Rates in L 2 for Elliptic Homogenization Problems Archive For Rational Mechanics and Analysis. 203: 1009-1036. DOI: 10.1007/S00205-011-0469-0  0.301
2012 Lin F, Pan XB, Wang C. Phase Transition for Potentials of High-Dimensional Wells Communications On Pure and Applied Mathematics. 65: 833-888. DOI: 10.1002/Cpa.21386  0.311
2010 Lin F, Wang C. On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals Chinese Annals of Mathematics, Series B. 31: 921-938. DOI: 10.1007/S11401-010-0612-5  0.317
2010 Lin F, Wei J. Traveling wave solutions of the Schrödinger map equation Communications On Pure and Applied Mathematics. 63: 1585-1621. DOI: 10.1002/Cpa.20338  0.342
2009 Du Q, Lin F. Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem ∗ Nonlinearity. 22: 67-83. DOI: 10.1088/0951-7715/22/1/005  0.304
2009 Lin F. On regularity and singularity of free boundaries in obstacle problems Chinese Annals of Mathematics. Series B. 30: 645-652. DOI: 10.1007/S11401-009-0174-6  0.32
2009 Lin F, Lin J, Wang C. Liquid Crystal Flows in Two Dimensions Archive For Rational Mechanics and Analysis. 197: 297-336. DOI: 10.1007/S00205-009-0278-X  0.364
2008 Hang F, Lin F, Yang Y. Existence of Faddeev knots Surveys in Differential Geometry. 13: 149-222. DOI: 10.4310/Sdg.2008.V13.N1.A6  0.308
2008 Caffarelli LA, Lin F. Nonlocal heat flows preserving the L2 energy Discrete and Continuous Dynamical Systems. 23: 49-64. DOI: 10.3934/Dcds.2009.23.49  0.392
2008 Lin F, Zhang P. On the initial-boundary value problem of the incompressible viscoelastic fluid system Communications On Pure and Applied Mathematics. 61: 539-558. DOI: 10.1002/Cpa.20219  0.363
2007 Lin F, Yang Y. Nonlinear non-local elliptic equation modelling electrostatic actuation Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 463: 1323-1337. DOI: 10.1098/Rspa.2007.1816  0.358
2007 Ding Y, Lin F. Solutions of perturbed Schrödinger equations with critical nonlinearity Calculus of Variations and Partial Differential Equations. 30: 231-249. DOI: 10.1007/S00526-007-0091-Z  0.303
2007 Lin F, Zhang P, Zhang Z. On the Global Existence of Smooth Solution to the 2-D FENE Dumbbell Model Communications in Mathematical Physics. 277: 531-553. DOI: 10.1007/S00220-007-0385-1  0.335
2006 Lin F, Yang Y. Energy Splitting, Substantial Inequality, and Minimization for the Faddeev and Skyrme Models Communications in Mathematical Physics. 269: 137-152. DOI: 10.1007/S00220-006-0123-0  0.318
2005 Hang F, Lin F. Topology of sobolev mappings IV Discrete and Continuous Dynamical Systems. 13: 1097-1124. DOI: 10.3934/Dcds.2005.13.1097  0.302
2004 Lin F, Yang Y. The Faddeev knots as stable solitons: Existence theorems Science China-Mathematics. 47: 187-197. DOI: 10.1360/02Ys0351  0.319
2004 Lin F, Yang Y. Existence of Energy Minimizers as Stable Knotted Solitons in the Faddeev Model Communications in Mathematical Physics. 249: 273-303. DOI: 10.1007/S00220-004-1110-Y  0.302
2004 Lin F, Yang Y. Existence of two‐dimensional Skyrmions via the concentration‐compactness method Communications On Pure and Applied Mathematics. 57: 1332-1351. DOI: 10.1002/Cpa.20038  0.306
2003 Han Q, Hardt R, Lin F. Singular Sets of Higher Order Elliptic Equations Pediatric Dermatology. 28: 2045-2063. DOI: 10.1081/Pde-120025495  0.312
2003 Hang F, Lin F. Topology of Sobolev mappings, II Acta Mathematica. 191: 55-107. DOI: 10.1007/Bf02392696  0.317
2003 Lin F, Yang Y. Gauged harmonic maps, Born‐Infeld electromagnetism, and magnetic vortices Communications On Pure and Applied Mathematics. 56: 1631-1665. DOI: 10.1002/Cpa.10106  0.355
2002 Lin F, Zhang P. On the hydrodynamic limit of Ginzburg-Landau wave vortices Communications On Pure and Applied Mathematics. 55: 831-856. DOI: 10.1002/Cpa.3019  0.335
2001 Lin F, Rivière T. A quantization property for static Ginzburg-Landau vortices Communications On Pure and Applied Mathematics. 54: 206-228. DOI: 10.1002/1097-0312(200102)54:2<206::Aid-Cpa3>3.0.Co;2-W  0.337
2000 Lin F, Liu C. Existence of Solutions for the Ericksen-Leslie System Archive For Rational Mechanics and Analysis. 154: 135-156. DOI: 10.1007/S002050000102  0.358
1999 Hang F, Lin F. Exponential Growth Solutions of Elliptic Equations Acta Mathematica Sinica. 15: 525-534. DOI: 10.1007/S10114-999-0084-2  0.392
1999 Lin F. Mapping Problems, Fundamental Groups and Defect Measures Acta Mathematica Sinica, English Series. 15: 25-52. DOI: 10.1007/S10114-999-0059-3  0.315
1999 Lin F, Rivière T. Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents Journal of the European Mathematical Society. 1: 237-311. DOI: 10.1007/S100970050008  0.371
1999 Han Q, Hardt R, Lin F. Erratum: Geometric measure of singular sets of elliptic equations Communications On Pure and Applied Mathematics. 52: 271-271. DOI: 10.1002/(Sici)1097-0312(199902)52:2<271::Aid-Cpa3>3.0.Co;2-5  0.308
1998 Lin F, Wang C. Energy identity of harmonic map flows from surfaces at finite singular time Calculus of Variations and Partial Differential Equations. 6: 369-380. DOI: 10.1007/S005260050095  0.306
1998 Han Q, Hardt R, Lin F. Geometric measure of singular sets of elliptic equations Communications On Pure and Applied Mathematics. 51: 1425-1443. DOI: 10.1002/(Sici)1097-0312(199811/12)51:11/12<1425::Aid-Cpa8>3.0.Co;2-3  0.308
1998 Lin F. A new proof of the Caffarelli‐Kohn‐Nirenberg theorem Communications On Pure and Applied Mathematics. 51: 241-257. DOI: 10.1002/(Sici)1097-0312(199803)51:3<241::Aid-Cpa2>3.0.Co;2-A  0.369
1997 Lin F, Du Q. Ginzburg-Landau vortices: dynamics, pinning, and hysteresis Siam Journal On Mathematical Analysis. 28: 1265-1293. DOI: 10.1137/S0036141096298060  0.378
1997 Lin F, Lin TC. Minimax solutions of the Ginzburg-Landau equations Selecta Mathematica-New Series. 3: 99-113. DOI: 10.1007/S000290050007  0.346
1995 Lin F, Liu C. Nonparabolic dissipative systems modeling the flow of liquid crystals Communications On Pure and Applied Mathematics. 48: 501-537. DOI: 10.1002/Cpa.3160480503  0.371
1988 Hardt R, Kinderlehrer D, Lin F. Stable defects of minimizers of constrained variational principles Annales De L Institut Henri Poincare-Analyse Non Lineaire. 5: 297-322. DOI: 10.1016/S0294-1449(16)30340-7  0.309
1985 Lau C, Lin F. The Best Hölder Exponent for Solutions of the Non-parametric Least Area Problem Indiana University Mathematics Journal. 34: 809-813. DOI: 10.1512/Iumj.1985.34.34043  0.314
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