Some Effective Properties of the Periodic Structure: a Homogenization Theory Study
Prof. Ying-Hong Liu ( Research Center for Applied Sciences, Academia Sinica )2008 - 05 - 16 (Fri.)
11:10 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this study, we apply the homogenization theory to periodic structures and two main characteristics of that are addressed. First, we investigate band structures of phononic crystals with particular emphasis on the effects of the mass density ratio and of the contrast of elastic constants. It is shown that the density ratio rather than the contrast of elastic constants is the dominant factor that opens up phononic band gaps. Then we aimed to study propagating modes of acoustic wave in periodic solid layers in ideal or viscous fluids. In particular, at long wavelength limit, a three-scale homogenization analysis is developed to derive the effective group velocities in analytical forms for the shear-vertical (SV) as well as for the longitudinal-shear horizontal (P- SH) waves. It is found that propagating modes, i.e., modes with real group velocities may be supported even if the fluid phase is viscous. The physical background of these observations is explained by applying the theory of homogenization to investigate the group velocities of the low-frequency bands at the center of symmetry Γ.

Mechanical and Electrical Activities of Heart
Prof. Chu-Pin Lo ( Department of Financial and Computational Mathematics, Providence University )2008 - 05 - 16 (Fri.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)Heart is an important organ to work as a pump to control the blood circulation system. Three viewpoints should be made to understand the global function of heart: electrical excitation, mechanical contraction of myocardial muscle, and blood fluid dynamics. In this talk, I will focus on the mechanical and electrical parts. Note that heart is a very complex organ with multiscale phenomena, from microscopic single cell or even molecular ion channel, the mesoscopic tissue, to the macroscopic whole heart. To explore the rich phenomena of heart, some multiscale-coupling mathematical model incorporating both mechanical and electrical effects will be introduced. Such model consists of three components. The first is the bidomain or monodomain electrical equations with strain/stretch effects (mechanical-electrical coupling) on ionic currents, capacitance, and diffusion term. The second is for the electrical-mechanical coupling (so-called Excitation-Contraction Coupling, ECC), including equations describing the production of active stress. The third is the continuum-mechanics based Newton's motion equation with constitutive strain- stress (passive) relation. For the simulation issues, some numerical algorithms will be introduced, e.g. finite element, finite volume, generalized finite difference, and hybrid methods. About the software environment, I will introduce the finite-element based software "Comsol Multiphysics". To build up patient-specific model for clinical diagnosis, the issue about the generation of finite element mesh from the individual biomedical image data such as MRI will be explored. Finally, I will report some research topics in progress, such as the mechanical properties of pulmonary veins sleeves, U wave and Andersen-Tawil syndrome of ECG, and the shifting of SA node leading pacing site.

Chu-Pin Lo 2008-05-16
14:00:00 - 15:00:00 Mechanical and Electrical Activities of Heart308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chuan-Hsiang Han 2008-05-16
09:30:00 - 10:20:00 Applications of Martingale Theory to Finance308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ying-Hong Liu 2008-05-16
11:10:00 - 12:00:00 Some Effective Properties of the Periodic Structure: a Homogenization Theory Study308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung-Chi Kuo 2008-05-16
15:30:00 - 17:00:00 Marriage and Divorce308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -IX
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 15 (Thu.)
10:00 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Chern-Simons-Higgs Models in Superconductivity Ⅶ
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 15 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Quenching in nonhomogeneous media - MEMS
Prof. Jong-Shenq Guo ( Tamkang University )2008 - 05 - 15 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -X
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 15 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Jong-Shenq Guo 2008-05-15
14:00:00 - 15:00:00 Quenching in nonhomogeneous media - MEMS308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-05-15
11:10:00 - 12:20:00 Chern-Simons-Higgs Models in Superconductivity Ⅶ308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-05-15
10:00:00 - 12:00:00 Circular consecutive choosability of graphs -IX405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-05-15
13:30:00 - 15:30:00 Circular consecutive choosability of graphs -X405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Physics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 05 - 14 (Wed.)
15:00 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Anatoly Kamchatnov 2008-05-14
15:00:00 - 17:00:00 Physics and mathematics of dispersive shocks: An introduction405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 13 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Schwarzschild Geometry
Mr. Po-Yao Chang ( Department of Mathematics, National Taiwan University )2008 - 05 - 13 (Tue.)
16:10 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Golbarg-Trudinger, second order, Elliptic PDE.
Dr. Hidemitsu Wadade ( Math. Division, NCTS/Taipei & Taida Institute for Mathematical Sciences )2008 - 05 - 13 (Tue.)
18:30 - 20:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Jing Yu  ( Department of Mathematics, National Taiwan University & Taida Institute for Mathematical Sciences )

Jing Yu 2008-05-13
14:00:00 - 16:00:00 Introduction to Lang-lands Program 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Po-Yao Chang 2008-05-13
16:10:00 - 17:00:00 Schwarzschild Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hidemitsu Wadade 2008-05-13
18:30:00 - 20:00:00 Golbarg-Trudinger, second order, Elliptic PDE.308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-05-13
09:10:00 - 12:10:00 Ricci flow 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

One-Dimensional Dynamics Ⅱ
Prof. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 05 - 12 (Mon.)
09:30 - 11:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Jung-Chao Ban 2008-05-12
09:30:00 - 11:30:00 One-Dimensional Dynamics Ⅱ308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Imaging of Multiple Targets in Rician/Rayleigh Fading Media
Prof. Albert C. Fannjiang ( University of California, Davis, USA )2008 - 05 - 09 (Fri.)
11:10 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)We consider imaging targets that are cluttered in a random medium. We assume only the phase information of the average Green function. We derive the stability condition NB > M for the time reversal imaging method where N is the number of antennas, B the number of frequencies and M the number of point targets. We demonstrate the method for a medium consisting of many randomly distributed particles.

Marriage and Divorce
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 05 - 09 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Martingales, Brownian Motions, and Levy Processes.
Prof. Narn-Rueih Shieh ( Department of Mathematics, National Taiwan University )2008 - 05 - 09 (Fri.)
09:30 - 10:40
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this talk, we shall talk on martingales, with view on the Doob-Meyer Decompotion. Then we talk on Brownian motion, with view on its martingale properties. Finally we introduce Levy processes via Brownian first passage times.

What are networks？
Prof. Wei-Chung Liu ( Institute of Statistical Science , Academia Sinica )2008 - 05 - 09 (Fri.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)