Hung-Chi Kuo 2007-12-27
10:00:00 - 13:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Multiscale Computations and Engineering Applications
Prof. Yizhao Thomas Hou ( California Institute of Technology, USA )2007 - 12 - 21 (Fri.)
10:00 - 11:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)Many problems of fundamental and practical importance contain multiple scale solutions. Composite materials, flow and transport in heterogeneous porous media, and turbulent flow are examples of this type. Direct numerical simulations of these multiscale problems are extremely difficult due to the wide range of length scales in the underlying physical problems. In this talk, I describe some of our recent efforts in developing multiscale computational methods to upscale two-phase flows in strongly heterogeneous porous media. For some challenging problems with long range scale interaction arising from engineering applications, we show how to use limited global information to improve the accuracy of the multiscale method. Another important application is how to quantify uncertainty in modeling the heterogeneous random media. We show that by using a coarse multiscale model to precondition the Markov Chain Monte Carlo method, we can significantly improve the efficiency of the MCMC method in generating the probability distribution of the random media subject to some production data. Finally, we will discuss some recent progress in developing multiscale methods for incompressible Navier-Stokes equations with high Reynolds number.

Prof. Hung-Chi Kuo  ( Department of Atmospheric ScienProf. Jun Zou   ( The Chinese University of Hong Kong )

Prof. Jun Zou   ( The Chinese University of Hong Kong )

Jun Zou 2007-12-20
14:10:00 - 15:00:00 Some efficient numerical methods for inverse problems308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Hung-Chi Kuo  ( Department of Atmospheric Sciences, National Taiwan University )

Hung-Chi Kuo 2007-12-14
11:20:00 - 12:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Hung-Chi Kuo  ( Department of Atmospheric Sciences, National Taiwan University )

Solutions of elliptic PDE concerned with Toda system
Dr. Yuko Nagase ( Taida Institute for Mathematical Sciences )2007 - 12 - 06 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow and Poincaré Conjecture
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2007 - 12 - 04 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.)

The balance between existence and nonexistence theorems via an index theory
Prof. Shihshu Walter Wei ( University of Oklahoma, USA )2007 - 12 - 04 (Tue.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Model Selection via the Group Lasso
Ms. Yen-Shiu Chin ( Department of Mathematics, National Taiwan University )2007 - 12 - 04 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Concentration phenomena for some singularly perturbed elliptic PDEs
Prof. Andrea Malchiodi ( SISSA, Italy )2007 - 12 - 04 (Tue.)
15:00 - 16:00We study singularly perturbed elliptic equations arising from models in physics or biology, and investigate the asymptotic behavior of some special solutions as some parameter tends to zero. We also discuss some connections with related problems arising in differential geometry.

Viscous standing asymptotic states
Prof. Cheng-Hsiung Hsu ( Department of Mathematics, National Central University )2007 - 11 - 29 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this work we consider a well-known one-dimensional model for isentropic viscous compressible flows through a nozzle. We give a complete analysis for the existence and multiplicity of standing asymptotic states for a certain type of ducts. As an application of the geometric singular perturbation theory, all standing asymptotic states admit viscous profiles.

Singular solutions of the Fujita-type equation
Prof. Eiji Yanagida ( Tokyo Institute of Technology, Japan )2007 - 11 - 28 (Wed.)
10:00 - 10:50
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Standing Pulse solution of a reaction-diffusion equation of logistic growth
Prof. Junping Shi ( College of William and Mary, USA )2007 - 11 - 28 (Wed.)
13:30 - 14:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons Equations with Two Higgs Particles
Prof. Jann-Long Chern ( Department of Mathematics, National Central University )2007 - 11 - 28 (Wed.)
15:50 - 16:40
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Orbital stability of bound states of semi-classical nonlinear Schrodinger equations with critical nonlinearity
Prof. Tai-Chia Lin ( Department of Mathematics, National Taiwan University )2007 - 11 - 28 (Wed.)
14:40 - 15:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Minimal interfaces in 2- and 3-dimensional domains- stability, instability (and possibly bifurcation) -
Prof. Kunimochi Sakamoto ( Hiroshima University, Japan )2007 - 11 - 28 (Wed.)
11:10 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

A Remark on Degenerate Singularity in three Dimensional Ricci Flow
Prof. Yu-Chao Tu ( University of Utah, USA )2007 - 11 - 27 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow and Poincaré Conjecture
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2007 - 11 - 27 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Hung-Chi Kuo  ( Department of Atmospheric Sciences, National Taiwan University )

Junping Shi 2007-09-20
15:00:00 - 15:50:00 Exact multiplicity of the positive solutions of semilinear elliptic equations308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Richard Schoen 2007-09-14
10:00:00 - 12:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chih-Wei Chen 2007-09-04
14:00:00 - 15:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Goong Chen 2007-08-10
15:00:00 - 16:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Goong Chen 2007-08-08
15:00:00 - 16:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Stephen S-T. Yau2007-06-22
10:00:00 - 11:00:00浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall

Huai-Dong Cao2007-06-22
11:20:00 - 12:20:00浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall

Burkhard Wilking2007-06-21
15:20:00 - 16:20:00浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall