:::
| 姓名 | 蔡東和 |
|---|---|
| 聯絡電話 | 03-571-5131 ext. 33062 |
| 傳真 | 03-572-3888 |
| 聯絡地址 | 綜三館601室 |
| 個人網站 | http://www.math.nthu.edu.tw/~dhtsai |
| 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, |
| 類別 | 專任教師 |
|---|---|
| 職稱 | 教授 |
| 研究專長 | 偏微分方程、幾何分析 |
其他著作
- 研討會論文
- 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.
- 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
- Y.-C. Lin, D.-H. Tsai (2011) Refined entropy estimate for expanding convex closed plane curves, submitted.
- Y.-C. Lin, D.-H. Tsai (2011) Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves, submitted.
- 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.
- 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.
- 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.
- 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.
- T.-C. Lin, C.-C. Poon, D.-H. Tsai (2009) Expanding convex immersed closed plane curves, Calculus of Variations & PDEs, 34, 153-178, 2009
- 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.
- C.-H. Nien, D.-H. Tsai (2006) Convex curves moving translationally in the plane, Journal of Differential Equations, 225, 605-623, 2006.
- D.-H. Tsai (2005) Asymptotic closeness to limiting shapes for expanding embedded plane curves, Inventiones Mathematicae, 162, 473-492, 2005.
- D.-H. Tsai (2005) Expanding embedded plane curves, Contemporary Mathematics, American Mathematical Society, vol. 367, 189-227, 2005.
- 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.
- 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.
- 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.
- 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.
- 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.
- B. Chow, D.-H. Tsai (1998) Nonhomogeneous Gauss curvature flows, Indiana University Mathematics journal, vol. 47, no. 3, 965-994, 1998.
- 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.
- B. Chow, D.-H. Tsai (1996) Geometric expansion of convex plane curves, Journal of Differential Geometry, vol. 44, 312-330, 1996.
- 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.
- D.-H. Tsai (1996) Geometric expansion of starshaped plane curves, Communications in Analysis and Geometry, vol. 4, no. 3, 459-480, 1996.
- 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.
- Y.-C. Lin, D.-H. Tsai (2011) Refined entropy estimate for expanding convex closed plane curves, submitted.
- 其他
- M. Chipot, C.-S. Lin, D.-H. Tsai (2008) Recent Advances in Nonlinear Analysis, Proceedings of the International Conference on Nonlinear Analysis, November 20-25, 2006, NCTS, Hsinchu, TAIWAN.
- M. Chipot, C.-S. Lin, D.-H. Tsai (2008) Recent Advances in Nonlinear Analysis, Proceedings of the International Conference on Nonlinear Analysis, November 20-25, 2006, NCTS, Hsinchu, TAIWAN.
