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,

l Assistant Professor, 1997 -- 2000,
Department of Mathematics,

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

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

l M.S. Applied Mathematics, June 1989,

l B.S. Applied Mathematics, June 1987,

EXPERIENCE

Associate
editor of Taiwanese Journal of Mathematics 2014-

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

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

Researcher
of IMA (Institute of Mathematics and its Application, University of Minnesota,
USA),

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.

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

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¡V3465.

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¡V2080.

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¡V441.

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¡V173. 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¡V200. 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¡V112. 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¡VBoltzmann type equations: one-dimensional
solutions, Nonlinearity 24 (2011) 431¡V458. IF:1.20, Citations:10

19.
T. C. Lin, J. Wei and

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¡X626. 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¡V776.

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¡X178.

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¡X569

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¡X115

32.
T. C. Lin, J. Wei,
Ground state of *N *coupled Nonlinear Schrödinger Equations in R^*n*,*n
*¡Ø3, 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.