陳子軒（Chi-Hin Chan）副教授

聯絡方式

Email: cchan@math.nctu.edu.tw
電話: 03-571-2121 ext. 56464
傳真: 03-572-4679
地址: 新竹市大學路1001號陽明交通大學應用數學系 30010
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近兩學期教授課程

113 學年度第一學期：
- 分析導論榮譽班(一)
- 拓樸學

112 學年度第二學期：
- 大域微分幾何
- 微積分甲(二)

履歷

學歷
- 美國德州奧斯汀大學數學博士 2008/05
- 美國加州柏克萊大學數學學士 2001/05

學術專長暨研究領域
- 黎曼流形上納維 - 斯托克斯方程式解之解析、幾何、拓墣等性質
- 不可壓縮納維 - 斯托克斯方程式解之正則性
- 擴散項以分數拉普拉斯表示之偏微分方程式的解之正則性

學術經歷與榮譽

近五年研究計劃

著作選集

(A) Refereed Papers：

Chi Hin Chan, Alexis F. Vasseur. Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. Methods Appl. Anal 14 (2007), no. 2, 197-212.
Chi Hin Chan. Smoothness Criteria for Navier-Stokes equations in terrms of regularity along the streamlines. Method Appl. Anal. 17 (2010), no. 1, 081-104.
Chi Hin Chan, Magdalena Czubak. Regularity of solutions for the critical N-dimensional Burgers' equation. Ann. Tnst. H. Poincare Anal. Non Lineaire. 27(2): 471-501,2010.
Chi Hin Chan, Magdalena Czubak, and Luis Silvestre. Eventual regularization of the slightly supercritical fractional Burgers equation. Discrete Contin. Dyn. Syst., 27(2):847-861, 2010.
Luis Caffarelli, Chi Hin Chan, Alexis F. Vasseur. Regularity theory for parabolic nonlinear integral operators. J. Amer. Math. Soc. 24 (2011), no. 3, 849869.
Chi Hin Chan, Magdalena Czubak. Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting. Dynamics of PDE, Vol 10, No1, 43-77, 2013.
Chi Hin Chan, Tsuyoshi Yoneda. On possible isolated blow-up phenomena and regularity criterion of the 3D Navier-Stokes equation along the streamlines. Method and Applications of Analysis. Vol.19, No.3 pp.211-242, September 2012.
Chi Hin Chan, Tsuyoshi Yoneda. On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space.Dynamics of PDE, Vol 10, No 3, 209-254, 2013.
Chi Hin Chan, Magdalena Czubak. Remarks on the weak Formulation of the Navier- Stoker equations on the 2D hyperbolic space. Accepted for publication in Ann. Inst. H. Poincare Anal.Non Lineaire.
Chi Hin Chan, Magdalena Czubak. Tsuyoshi Yoneda. An ODE for boundary layer separation on a sphere and a hyperbolic space. Phys. D 282 (2014), 34-38.
Chi Hin Chan, Alexis F. Vasseur. De Giorgi techniques applied to the Holder regularity of solutions to Hamilton- Jacobi equations. ArXiv e-print, November 2014.
Chi Hin Chan, Magdalena Czubak. Liouville Theorems for The Stationary Navier Stokes Equation On a Hyperbolic Space. ArXiv e-print January 2015.
Chi Hin Chan, Che-Kai Chen, Magdalena Czubak, Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane, accepted for publication in Dynamics of P.D.E.
Chi Hin Chan, Magdalena Czubak, Marcelo M. Disconzi. The formulation of the Navier- Stokes equations on Riemannian manifolds, Journal of Geometry and Physics 121(2017) 335-346.
Chi Hin Chan, Magdalena Czubak, Antithesis of the Stokes paradox on the hyperbolic plane. ArXiv e-print, August, 2017

(B) Conference Papers：

Nonuniqueness of Leray-Hopf type solutions to the Navier-Stokes equation on 2 dimensional hyperbolic manifolds. Invited talk in the conference Workshop on Applied Analysis and Applied PDEs. University of Vicroria, July 12-July 15, 2011.
Regularity theory for nonlinear integral operators. Invited talk in the conference Nonlocal operators and partial differential equations Bedlewo, June 27-July 3, 2010.
Invited talk in the Special Session on Partial Differential Equations from Fluid Mechanics at the AMS Fall Southeastern Meeting in Boca Raton, FL, Oct 30-Nov 1, 2009.
Invited talk in the Special Session on Nonlinear partial differential equations and applications at the AMS Spring Centeral Sectional Meeting in Urbana, IL, March 27-29, 2009.

Chi Hin Chan. The De Giorgi's Method as Applied to The Regularity Theory for Incompressible Navier Stokes Equations. Ph.D. thesis submitted to the graduate school of UT Austin. Thesis Advisor: Professor Alexis Vasseur.

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