Name: Tai-Chia Lin

Address: Department of Mathematics,

National Taiwan University,

No. 1, Sec. 4, Roosevelt Road, Taipei, 10617 Taiwan

 

EDUCATION AND EMPLOYMENT

l   Professor, 2004 --, Department of Mathematics, National Taiwan University.

l   Associate Professor, 2000 -- 2004, Department of Mathematics, National  Chung Cheng University.

l   Assistant Professor, 1997 -- 2000, Department of Mathematics, National Chung Cheng University.

l   Posdoctor, 1996 -- 1997, Mathematical Sciences of Research Institute (MSRI), UC-Berkeley.

l   Ph.D. Mathematics, May 1996, Courant Institute of Mathematical Sciences, New York University.

l   M.S. Applied Mathematics, June 1989, National Tsing Hua University.

l   B.S. Applied Mathematics, June 1987, National Chiao-Tung University.

EXPERIENCE

Associate editor of Taiwanese Journal of Mathematics 2014-

Shapiro visiting professor at Penn State University, August 2nd to September 9th, 2012, July 8th to August 22nd , 2013, July 20th to August 19th, 2014..

Researcher of TAMU (Texas A&M University) at Qatar, February 10th to April 10th, 2012, January 13th to February 17th, 2013, January 23rd to February 15th, 2014.

Researcher of IMA (Institute of Mathematics and its Application, University of Minnesota, USA), 8/1/2008-7/31/2009, 12/7-11/2009, 4/8-16/2010

Invited short term visits: Ohio State Univ. (December 2-5, 2008), New York Univ. (December 16-31, 2008), Penn State Univ. (February 17-24, 2009), Univ. of Tennessee (April 6-9, 2009), Purdue Univ. (April 28-May 1, 2009), Univ. of Kentucky (May 10-13, 2009), The Chinese Univ. of Hong Kong (9/1-8/2006, 10/2-7/2007, 6/6-15/2008, 4/2-7/2010, 1/4-8/2011, 4/23-27/2012)

Mainland China (Hangzhou, Shanghai 6/3-11/2011, 6/15-19/2014, Hangzhou, Kaifeng 6/12-22/2013)

 

Invited Speaker:

1.         IMA Workshop "Mathematics of Biological Charge Transport: Molecules and Beyond", July 19-25, 2015, University of Minnesota, USA

2.         Interdisciplinary Mathematics toward Smart Innovations, Tohoku University, Japan, March 26-28, 2015

3.         2014 SIAM Conference of the Life Sciences, August 4-7, 2014, Charlotte, North Carolina, USA

4.         Workshop on transport of ionic particles in biological environments, Fields Institute, Toronto, Canada, July 28-August 1, 2014

5.         FACM meeting, NJIT, USA, May 18-20, 2012

6.         SIAM Conference on Analysis of Partial Differential Equations, San Diego, California USA, November 14-17, 2011

7.         Recent Development in Nonlinear Partial Differential Equation, The Croucher Foundation Advanced Study Institute, CUHK, February 28-March 4, 2011

8.         Doha International Conference on Modeling, May 5-7, 2009

Referee Committee of Math Division of National Science Council (2005-2007)

Referee of Journals:

l   SIAM J Math Analysis (2012, 2015)

l   Journal of Differential Equations (2005, 2011, 2012-2015)

l   Calculus of Variations and PDE (2008, 2012)

l   Nonlinearity (2008)

l   Indiana University Mathematics Journal (2009)

l   Journal of Computational Physics (2009)

l   Communications in Mathematical Sciences (2009, 2013-2015)

l   Discrete and Continuous Dynamical Systems (2010, 2013-2015)

Fields of specialty partial differential equations, mathematical physics

HONORS

*      Young Mathematician Award, Mathematical Society of ROC (TMS), 2005.

*      Outstanding Research Award, 2003, National Science Council.

 

Publication:

1.       C.Y. Hsieh and T.C. Lin, Exponential decay estimates for the stability of boundary layer solutions to Poisson-Nernst-Planck systems: one spatial dimension case, SIAM J. Math. Anal. Vol.47, No.5(2015), pp. 3442–3465. 

2.       C. C. Lee, H. Lee, Y. Hyon, T. C. Lin and C. Liu, Asymptotic Analysis of Poisson-Boltzmann equations with Constrained Ionic Densities for Multi-species Ions, to appear in Comm. Math. Sci.

3.         T. C. Lin and B. Eisenberg, Multiple solutions of steady-state Poisson-Nernst-Planck equations with steric effects, Nonlinearity 28 (2015) 2053–2080.

4.       H. Wu, T.C. Lin and C. Liu, Diffusion limit of kinetic equations for multiple species charged particles, Arch. Rational Mech. Anal. 215 (2015) 419–441.

5.       C. Y. Hsieh, Y. Hyon, H. Lee, T. C. Lin and C. Liu, Transport of Charged Particles: Entropy Production and Maximum Dissipation Principle, J. Math. Anal. Appl., 422 (2015) 309-336.

6.       T.C. Lin, Milivoj R. Beli´c, Milan S. Petrovi´c and Goong Chen, Ground states of nonlinear Schr¨odinger systems with saturable nonlinearity in R2 for two counterpropagating beams, Journal of Mathematical Physics, 55, 011505(1-13), 2014. IF:1.201, Citations:1

7.       T.C. Lin and Z.A. Wang, Development of traveling waves to an interacting two-species chemotaxis model, Discrete and Continuous Dynamical Systems A, Volume 34, Number 7 (2014) 2907-2927. IF:1.087, Citations:1

8.       T.C. Lin and B. Eisenberg, A new approach to the Lennard-Jones potential and a new model: PNP-steric equations, Communications in Mathematical Sciences, Vol. 12, No. 1 (2014) 149–173. IF: 1.59, Citations:8

9.       H. Berestycki, T.C. Lin, J. Wei, C. Zhao, On Phase-Separation Model: Asymptotics and Qualitative Properties, Archive for Rational Mechanics and Analysis, 208 (2013) 163–200. IF:2.022, Citations:30

10.    T. C. Lin, Milivoj R. Beli´c, Milan S. Petrovi´c, Najdan B. Aleksi´c and Goong Chen, Ground-state counterpropagating solitons in photorefractive media with saturable nonlinearity, J. Opt. Soc. Am. B / Vol. 30, No. 4 / April 2013. IF:1.806, Citations:1

11.    A.M. Kamchatnov, Y.H. Kuo, T.C. Lin, T.L. Horng, S.C. Gou, R. Clift, G.A. El, R.H.J. Grimshaw, Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation, J. Fluid Mech. (2013), vol. 736, pp. 495-531. IF:2.294, Citations:2

12.    B. Eisenberg, T.L. Horng, T.C. Lin and C. Liu, Steric PNP (Poisson-Nernst-Planck): Ions in Channels, Biophysical Journal, 2013, 104:509a.

13.     T.C. Lin and T.F. Wu, Existence and multiplicity of positive solutions for two coupled nonlinear Schrödinger equations, Discrete and Continuous Dynamical Systems A, Volume 33, No. 1, 2013, 2911-2938. IF:1.087, Citations:0

14.    T.C. Lin, J. Wei and J. Yang, Vortex rings for the Gross-Pitaevskii equation in R3, J. Math. Pures Appl. 100 (2013) 69–112. IF:1.399, Citations:1

15.     A. M. Kamchatnov, Y.H. Kuo, T.C. Lin, T.L. Horng, S.C. Gou, R. Clift,G. A. El, R. H. J. Grimshaw, Undular bore theory for the Gardner equation, Phys. Rev. E, 86, 036605 (2012). IF:2.302, Citations:13

16.     T.L. Horng, T.C. Lin, C. Liu and B. Eisenberg, PNP equations with Steric Effects: a Model of Ion Flow through Channels, The Journal of Physical Chemistry B, 2012. 116 (37), p. 11422-11441. IF:3.377, Citations:31

17.    C.-H. Hsueh, T.-C. Lin, T.-L. Horng, and W. C. Wu, Quantum crystals in a trapped Rydberg-dressed Bose-Einstein condensate, Phys. Rev. A 86, 013619 (2012). IF:2.729, Citations:5

   

18.    C. C. Lee, H. Lee, Y. Hyon, T. C. Lin and C. Liu, New Poisson–Boltzmann type equations: one-dimensional solutions, Nonlinearity 24 (2011) 431–458. IF:1.20, Citations:10

19.    T. C. Lin, J. Wei and W. Yao, Orbital stability of bound states of nonlinear Schrodinger equations with linear and nonlinear optical lattices, J. Differential Equations 249 (2010) 2111–2146. IF:1.736, Citations:1

20.    X. Chen, T. C. Lin and J. Wei, Blowup and solitary wave solutions with ring profiles of two-component nonlinear Schrödinger systems, Physica D 239 (2010) 613—626. IF:1.829, Citations:2

21.    F. Lin, T. C. Lin and J. Wei, Skyrmions in Gross-Pitaevskii functional, Acta Mathematica Scientia (special issue for Professor Wu Wenjun’s 90th birthday) 2009,29B(3), 751–776.

22.    T. L. Horng, S. C. Gou, T. C. Lin, G. A. El, A. P. Itin, and A. M. Kamchatnov, Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate, Physical Review A, Vol.79, No.5, 053619(1-6) (2009). IF:2.729, Citations:7

23.    T. C. Lin, C. C. Poon and D. H. Tsai, Expanding immersed convex plane curves, Cal. Var. P. D. E., 34 (2009), no. 2, 153—178.

24.    C. C. Lee; T. C. Lin, Incompressible and compressible limits of two-component Gross-Pitaevskii equations with rotating fields and trap potentials, J. Math. Phys., 49, 043517(1-28) (2008).

25.    T. C. Lin; J. Wei, Orbital stability of bound states of semi-classical nonlinear Schrödinger equations with critical nonlinearity, SIAM J. Math. Analysis, Vol 40, No. 1, (2008) pp. 365-381.

26.    T. C. Lin; J. Wei, Half-Skyrmions and spike-vortex solutions of two-component nonlinear Schrödinger systems, J. Math. Phys., 48, (2007) 053518(1-21).

27.    T. L. Horng, S. C. Gou, and T. C. Lin, Bending-wave instability of a vortex ring in a trapped Bose-Einstein condensate, Phys. Rev. A 74, (2006) 041603(1-4)

28.    T. C. Lin, J. Wei, Symbiotic bright solitary wave solutions of coupled nonlinear Schrödinger equations, Nonlinearity 19, (2006) 2755-2773.

29.    T. C. Lin, J. Wei, Spikes in two-component systems of nonlinear Schrödinger equations with rapping potentials, J. Diff. Eqns. 229, (2006) 538-569

30.    T. C. Lin; P. Zhang, Incompressible and compressible limits of coupled systems of nonlinear Schrödinger equations. Comm. Math. Phys. 266, no. 2, (2006) 547—569

31.    T. C. Lin, J. Wei, Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations. Physica D 220 (2006), no. 2, 99—115

32.    T. C. Lin, J. Wei, Ground state of N coupled Nonlinear Schrödinger Equations in R^n,n 3, Comm. Math. Phys. 255 (2005) 629-653

33.    T. C. Lin, J. Wei, Spikes in two coupled nonlinear Schrodinger equations, Annales de L’institut Henri Poincare, Analyse non lineaire-nonlinear analysis, 22 (2005) 403-439

34.    S. M. Chang, C.S. Lin, T.C. Lin, W.W. Lin, Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates, Physica D 196(2004) no.3-4, pp. 341-361.

35.    F. H. Lin, T. C. Lin, Multiple time scale dynamics in coupled Ginzburg-Landau equations, Comm. Math. Sciences 1(2003) no.4, 671-695.

36.    T. C. Lin, L. Wang, Regularity of the minimizer for the d-wave Ginzburg-Landau energy, Methods and Applications of Analysis 10(2003) no.1, 81-96.

37.    F. H. Lin, T. C. Lin, Vortices in P-wave Superconductivity, SIAM J. Math. Analy. 34(2003) 1105-1127.

38.    F. H. Lin , T. C. Lin, Vortices in Two-Dimensional Bose-Einstein Condensates ,Geom. Nonlinear PDE 29 (2002) 87-114 .

39.    S. M. Chang, T. C. Lin and W. W. Lin, Dynamics of vortices in two-dimensional Bose-Einstein condensates, Int. J. Bifurcation and Chaos, 12 (2002)no.4 , 739-764.

40.    Q. Han, T. C. Lin, Fourfold symmetric vortex solutions of the d-ware Ginzburg-Landau equation, Nonlinearity, 15 (2002) 257-269.

41.    T. C. Lin, Vortex dynamics in d-wave superconductors, Physica D 149 (2001) 293-305.

42.    S. M. Chang, T. C. Lin and W. W. Lin, Chaotic and quasiperiodic motions of three planar charged particles, Int. J. Bifurcation and Chaos, 11 (2001) no. 7, 1937-1951.

43.    T. C. Lin, Instability of the vortex solution in the complex Ginzburg-Landau equation, Nonlinear Analysis TMA, 45 (2001), 11-17.

44.    F. H. Lin and T. C. Lin, Vortex state of d-wave superconductors in the Ginzburg-Landau energy, SIAM J. Math. Anal., 32 (2000) no. 3, 493-503.

45.    T. C. Lin, Rigorous and generalized derivation of vortex line dynamics in superfluids and superconductors, SIAM J. Appl. Math. 60 (2000) no. 3, 1099-1110.

46.    T. C. Lin, Spectrum of the Linearized operator for the Ginzburg-Landau equation, Electron. J. Diff. Eqns. 2000 (2000) no. 42, 1-25.

47.    T. C. Lin, Vortices for the nonlinear wave equation, Discrete and Continuous Dynamical Systems 5(1999) no.2, 391-398.

48.    T. C. Lin, The stability of the radial solution to the Ginzburg-Landau equation, Communication in Partial Differential Equations, 22(3&4), 619-632(1997).

49.    F. H. Lin and T. C. Lin, Minimax solutions of the Ginzburg-Landau equations, Selecta Mathematica, No. 3(1997) p.p. 99-113.

50.    K. S. Chang and T. C. Lin, The structure of solutions of a semilinear elliptic equation, Trans. Amer. Math. Soc. 332 (1992) no. 2, 535-554.