蔡東和 - 台湾清华大学

个人简介

學歷美國明尼蘇達大學,數學系,博士經歷國立清華大學, 數學系, 副教授, 2003.08 - 2004.07, 國立中正大學, 數學系, 副教授, 1996.08 - 2003.07, 國立交通大學, 應用數學系, 講師, 1987.08 - 1988.07,

研究领域

偏微分方程、幾何分析

近期论文

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研討會論文 1. Y.-C. Lin, D.-H. Tsai (2009) Center of expansion and isoperimetric di¤erence for expanding convex closed plane curves, to appear in the Proceedings of 4th ICCM, 2009, Zhejiang University, China. 期刊論文 1. Y.-C. Lin, D.-H. Tsai (2011) Refined entropy estimate for expanding convex closed plane curves, submitted. 2. Y.-C. Lin, D.-H. Tsai (2011) Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves, submitted. 3. Y.-C. Lin, C.-C. Poon, D.-H. Tsai (2011) Contracting convex immersed closed plane curves with slow speed of curvature, to appear in Transactions of the AMS, 30 pages. 4. C.-C. Poon, D.-H. Tsai (2010) Contracting convex immersed closed plane curves, Communications in Analysis and Geometry, vol. 18, no. 1, 23-75, 2010. 5. Y.-C. Lin, D.-H. Tsai (2010) Using Aleksandrov reflection to estimate the location of the center of expansion, Proceedings of the American Mathematical Society, vol. 138, no. 2, 557-565, 2010. 6. Y.-C. Lin, D.-H. Tsai (2009) Evolving a convex closed curve to another one via a length-preserving linear flow, Journal of Differential Equations, 247, 2620-2636, 2009. 7. T.-C. Lin, C.-C. Poon, D.-H. Tsai (2009) Expanding convex immersed closed plane curves, Calculus of Variations & PDEs, 34, 153-178, 2009 8. Y.-C. Lin, D.-H. Tsai (2008) On a simple maximum principle technique applied to equations on the circle, Journal of Differential Equations, 245, 377-391, 2008. 9. C.-H. Nien, D.-H. Tsai (2006) Convex curves moving translationally in the plane, Journal of Differential Equations, 225, 605-623, 2006. 10. D.-H. Tsai (2005) Asymptotic closeness to limiting shapes for expanding embedded plane curves, Inventiones Mathematicae, 162, 473-492, 2005. 11. D.-H. Tsai (2005) Expanding embedded plane curves, Contemporary Mathematics, American Mathematical Society, vol. 367, 189-227, 2005. 12. D.-H. Tsai (2005) Behavior of the gradient for solutions of parabolic equations on the circle, Calculus of Variations & PDEs, vol. 23, 251-270, 2005. 13. D.-H. Tsai (2004) Blowup behavior of an equation arising from plane curves expansion, Differential and Integral Equations, vol. 17, no. 7-8, 849-872, 2004. 14. D.-H. Tsai (2003) C 2,α estimate of a parabolic Monge-Ampère equation on Sn, Proceedings of the American Mathematical Society, vol. 131, no. 10, 3067-3074, 2003. 15. D.-H. Tsai (2002) On the formation of singularities in the curve expanding flow, Calculus of Variations & PDEs, vol. 14, no. 3, 385-398, 2002. 16. D.-H. Tsai (2000) Blowup and convergence of expanding immersed convex plane curves, Communications in Analysis and Geometry, vol. 8, no. 4, 761-794, 2000. 17. B. Chow, D.-H. Tsai (1998) Nonhomogeneous Gauss curvature flows, Indiana University Mathematics journal, vol. 47, no. 3, 965-994, 1998. 18. B. Chow, D.-H. Tsai (1997) Expansion of convex hypersurfaces by nonhomogeneous functions of curvature, Asian Journal of Mathematics, vol. 1, no. 4, 769-784, 1997. 19. B. Chow, D.-H. Tsai (1996) Geometric expansion of convex plane curves, Journal of Differential Geometry, vol. 44, 312-330, 1996. 20. B. Chow, L.-P. Liou, D.-H. Tsai (1996) Expansion of embedded curves with turning angle greater than -兀, Inventiones Mathematicae, 123, 415-429, 1996. 21. D.-H. Tsai (1996) Geometric expansion of starshaped plane curves, Communications in Analysis and Geometry, vol. 4, no. 3, 459-480, 1996. 22. B. Chow, L.-P. Liou, D.-H. Tsai (1996) On the nonlinear parabolic equation \partial_{t}u=F(△u+nu)on S^{n}, Communications in Analysis and Geometry, vol. 4, no. 3, 415-434, 1996.