
EDUCATION AND EMPLOYMENT
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Professor, 2003 --,
Department of Mathematics,
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Associate Professor, 2000
-- 2003, Department of Mathematics,
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Assistant Professor, 1997
-- 2000, Department of Mathematics,
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Posdoctor, 1996 -- 1997, Mathematical
Sciences of Research Institute (MSRI), UC-Berkeley.
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Ph.D. Mathematics, May
1996, Courant Institute of Mathematical Sciences,
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M.S. Applied Mathematics,
June 1989,
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B.S. Applied Mathematics,
June 1987,
EXPERIENCE
IMA long term
visitor (August 2008 to July 2009)
Invited short
term visits: Ohio State Univ. (December 2-5, 2008),
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.
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, to appear in Physical Review A (Vol.79, No.5) http://link.aps.org/abstract/PRA/v79/e053619
2.
Lin,
Tai-Chia; Poon, C.C.; Tsai, Dong-Ho, EXPANDING IMMERSED
CONVEX PLANE CURVES, Calculus of Variations and
Partial DifferentialEquations, 34 (2009), no. 2, 153--178.
3.
Chiun-Chang
Lee; Tai-Chia 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).
4.
Lin, Tai-Chia; Wei,
Juncheng, 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.
5.
Lin, Tai-Chia; Wei,
Juncheng, Half-Skyrmions and spike-vortex solutions of two-component nonlinear
Schrödinger systems, J. Math. Phys., 48, (2007) 053518.
6.
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)
7.
Tai-Chia Lin, Juncheng Wei,
Symbiotic bright solitary wave solutions of coupled nonlinear Schrödinger
equations, Nonlinearity 19, (2006) 2755-2773.
8.
Tai-Chia Lin, Juncheng
Wei,Spikes in two-component systems of nonlinear Schrödinger equations with
rapping potentials, J.Diff.Eqns. 229, (2006) 538-569
9.
Lin, Tai-Chia; Zhang, Ping,
Incompressible and compressible limits of coupled systems of nonlinear
Schrödinger equations. Comm. Math. Phys. 266, no. 2, (2006) 547¡X569
10. Lin, Tai-Chia; Wei, Juncheng, Solitary and self-similar
solutions of two-component system of nonlinear Schrödinger equations. Physica
D 220 (2006), no. 2, 99¡X115
11. Tai-Chia Lin, Juncheng Wei, Ground state of N coupled
Nonlinear Schrödinger Equations in R^n,n ≥3, Comm. Math. Phys. 255 (2005) 629-653
12. Tai-Chia Lin, Juncheng Wei, Spikes in two coupled
nonlinear Schrodinger equations, Annales de L¡¦institut Henri Poincare, Analyse
non lineaire-nonlinear analysis, 22 (2005) 403-439
13. 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.
14. Fang Hua Lin, Tai-Chia Lin, Multiple time scale dynamics
in coupled Ginzburg-Landau equations, Comm. Math. Sciences 1(2003) no.4,
671-695.
15. Tai-Chia Lin, Lihe Wang, Regularity of the minimizer for
the d-wave Ginzburg-Landau energy, Methods and Applications of Analysis
10(2003) no.1, 81-96.
16. Fang Hua Lin, Tai-Chia Lin, Vortices in P-wave
Superconductivity, SIAM J. Math. Analy. 34(2003) 1105-1127.
17. Fang Hua Lin , Tai-Chia Lin , Vortices in Two-Dimensional
Bose-Einstein Condensates ,Geom.Nonlinear PDE 29 (2002) 87-114 .
18. Shu-Ming Chang, Tai-Chia Lin and Wen-Wei Lin, Dynamics of
vortices in two-dimensionalBose-Einstein condensates, Int. J. Bifurcation and
Chaos, 12 (2002)no.4 , 739-764.
19. Q. Han, Tai-Chia Lin, Fourfold symmetric vortex solutions
of the d-ware Ginzburg-LandauQ. Han, Tai-Chia Lin, Fourfold symmetric vortex
solutions of the d-ware Ginzburg-Landauequation, Nonlinearity, 15 (2002)
257-269.
20. Tai-Chia Lin, Vortex dynamics in d-wave
superconductors, Physica D 149 (2001) 293-305.
21. Shu-Ming Chang, Tai-Chia Lin and Wen-Wei Lin, Chaotic and
quasiperiodic motions of threeplanar charged particles, Int. J. Bifurcation and
Chaos, 11 (2001) no. 7, 1937-1951.
22. Tai-Chia Lin, Instability of the vortex solution in the
complex Ginzburg-Landau equation, Nonlinear Analysis TMA, 45 (2001), 11-17.
23. Fang Hua Lin and Tai-Chia Lin, Vortex state of d-wave
superconductors in the Ginzburg-Landauenergy, SIAM J. Math. Anal., 32 (2000)
no. 3, 493-503.
24. Tai-Chia Lin, Rigorous and generalized derivation of
vortex line dynamics in superfluids andsuperconductors, SIAM J. Appl. Math. 60
(2000) no. 3, 1099-1110.
25. Tai-Chia Lin, Spectrum of the Linearized operator for the
Ginzburg-Landau equation, Electron. J. Diff. Eqns. 2000 (2000) no. 42, 1-25.
26. Tai-Chia Lin, Vortices for the nonlinear wave equation,
Discrete and Continuous Dynamical Systems 5(1999) no.2, 391-398.
27. Tai-Chia Lin, The stability of the radial solution to the
Ginzburg-Landau equation, Communication in Partial Differential Equations,
22(3&4), 619-632(1997).
28. Fang Hua Lin and Tai-Chia Lin, Minimax solutions of the
Ginzburg-Landau equations, Selecta Mathematica, No. 3(1997) p.p. 99-113.
29. Kuo-Shung Chang and Tai-Chia Lin, The structure of
solutions of a semilinear elliptic equation, Trans. Amer. Math. Soc. 332 (1992)
no. 2, 535-554.