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,
HONORS
Young Mathematician
Award, Mathematical Society of ROC (TMS), 2005.
Outstanding Research
Award, 2003, National Science Council.
Publication:
1.
Lin, Tai-Chia; Wei,
Juncheng, Orbital stability of bound states of semi-classical nonlinear Schrödinger
equations with critical nonlinearity, SIAM J. Math. Analy., (2007) to appear.
2.
Lin, Tai-Chia; Wei,
Juncheng, Half-Skyrmions and spike-vortex solutions of two-component nonlinear
Schrödinger systems, JOURNAL OF MATHEMATICAL PHYSICS 48, (2007) 053518.
3.
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)
4.
Tai-Chia Lin, Juncheng Wei,
Symbiotic bright solitary wave solutions of coupled nonlinear Schrödinger
equations, Nonlinearity 19, (2006) 2755-2773.
5.
Tai-Chia Lin, Juncheng
Wei,Spikes in two-component systems of nonlinear Schrödinger equations with
rapping potentials, J.Diff.Eqns. 229, (2006) 538-569
6.
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
7.
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
8.
Tai-Chia Lin, Juncheng Wei,
Ground state of N coupled Nonlinear Schrödinger Equations in
, n ≥3, Comm. Math. Phys.
255 (2005) 629-653
9.
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
10.
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.
11.
Fang Hua Lin, Tai-Chia Lin,
Multiple time scale dynamics in coupled Ginzburg-Landau equations, Comm. Math.
Sciences 1(2003) no.4, 671-695.
12.
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.
13.
Fang Hua Lin, Tai-Chia Lin,
Vortices in P-wave Superconductivity, SIAM J. Math. Analy. 34(2003) 1105-1127.
14.
Fang Hua Lin , Tai-Chia Lin
, Vortices in Two-Dimensional Bose-Einstein Condensates ,Geom.Nonlinear PDE 29
(2002) 87-114 .
15.
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.
16.
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.
17.
Tai-Chia Lin, Vortex
dynamics in d-wave superconductors, Physica D 149 (2001) 293-305.
18.
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.
19.
Tai-Chia Lin, Instability
of the vortex solution in the complex Ginzburg-Landau equation, Nonlinear
Analysis TMA, 45 (2001), 11-17.
20.
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.
21.
Tai-Chia Lin, Rigorous and
generalized derivation of vortex line dynamics in superfluids
andsuperconductors, SIAM J. Appl. Math. 60 (2000) no. 3, 1099-1110.
22.
Tai-Chia Lin, Spectrum of
the Linearized operator for the Ginzburg-Landau equation, Electron. J. Diff.
Eqns. 2000 (2000) no. 42, 1-25.
23.
Tai-Chia Lin, Vortices for
the nonlinear wave equation, Discrete and Continuous Dynamical Systems 5(1999)
no.2, 391-398.
24.
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).
25.
Fang Hua Lin and Tai-Chia Lin,
Minimax solutions of the Ginzburg-Landau equations, SelectaMathematica, No.
3(1997) p.p. 99-113.
26.
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.