
20071227Typhoon and Vortex Dynamics ***Rescheduled from Dec. 21(Fri.)Prof. HungChi Kuo ( Department of Atmospheric Sciences, National Taiwan University )

20071227Typhoon and Vortex Dynamics ***Rescheduled from Dec. 21(Fri.)HungChi Kuo 20071227
10:00:00  13:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20071221Computational SciencesMultiscale 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 twophase 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 NavierStokes equations with high Reynolds number. 
20071220Some efficient numerical methods for inverse problemsProf. HungChi Kuo ( Department of Atmospheric ScienProf. Jun Zou ( The Chinese University of Hong Kong )

20071220Inverse obstacle scattering problems: theory and numericsProf. Jun Zou ( The Chinese University of Hong Kong )

20071220Some efficient numerical methods for inverse problemsJun Zou 20071220
14:10:00  15:00:00 Some efficient numerical methods for inverse problems308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20071214Typhoon and Vortex DynamicsProf. HungChi Kuo ( Department of Atmospheric Sciences, National Taiwan University )

20071214Typhoon and Vortex DynamicsHungChi Kuo 20071214
11:20:00  12:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20071207Typhoon and Vortex DynamicsProf. HungChi Kuo ( Department of Atmospheric Sciences, National Taiwan University )

20071206Nonlinear PDESolutions 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.) 
20071204Geometric AnalysisRicci flow and Poincaré Conjecture
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2007  12  04 (Tue.)
09:10  12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20071204NCTS/TPE & TIMS Joint Geometry Seminar (20092010)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.) 
20071204Statistical MethodologyModel Selection via the Group Lasso
Ms. YenShiu Chin ( Department of Mathematics, National Taiwan University )2007  12  04 (Tue.)
13:30  15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20071204NCTS/TPE & TIMS Joint Geometry Seminar (20092010)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. 
20071129Nonlinear PDEViscous standing asymptotic states
Prof. ChengHsiung 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 wellknown onedimensional 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. 
20071128Partial Differential Equations DaySingular solutions of the Fujitatype 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.) 
20071128Partial Differential Equations DayStanding Pulse solution of a reactiondiffusion 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.) 
20071128Partial Differential Equations DayUniqueness of Topological Solutions and the Structure of Solutions for the ChernSimons Equations with Two Higgs Particles
Prof. JannLong Chern ( Department of Mathematics, National Central University )2007  11  28 (Wed.)
15:50  16:40
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20071128Partial Differential Equations DayOrbital stability of bound states of semiclassical nonlinear Schrodinger equations with critical nonlinearity
Prof. TaiChia Lin ( Department of Mathematics, National Taiwan University )2007  11  28 (Wed.)
14:40  15:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20071128Partial Differential Equations DayMinimal interfaces in 2 and 3dimensional 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.) 
20071127NCTS/TPE & TIMS Joint Geometry Seminar (20092010)A Remark on Degenerate Singularity in three Dimensional Ricci Flow
Prof. YuChao Tu ( University of Utah, USA )2007  11  27 (Tue.)
14:00  15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20071127Geometric AnalysisRicci flow and Poincaré Conjecture
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2007  11  27 (Tue.)
09:10  12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20071123Typhoon and Vortex DynamicsProf. HungChi Kuo ( Department of Atmospheric Sciences, National Taiwan University )

20070920Exact multiplicity of the positive solutions of semilinear elliptic equationsJunping Shi 20070920
15:00:00  15:50:00 Exact multiplicity of the positive solutions of semilinear elliptic equations308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20070914Riemannian manifolds with 1/4pinched curvatureRichard Schoen 20070914
10:00:00  12:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20070904Riemannian manifolds with 1/4pinched curvature (I)0ChihWei Chen 20070904
14:00:00  15:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20070810A Chitchat on Greenhouse Effects and Some Mathematical Properties of Greenhouse Gas Molecules (I) and (II)Goong Chen 20070810
15:00:00  16:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20070808A Chitchat on Greenhouse Effects and Some Mathematical Properties of Greenhouse Gas Molecules (I) and (II)Goong Chen 20070808
15:00:00  16:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20070622Affine Normal Flow of Higher order Bergman functions and classification of domains in strongly pseudoconvex varietyStephen ST. Yau20070622
10:00:00  11:00:00浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall 
20070622Ricci flow and geometrization of threemanifoldsHuaiDong Cao20070622
11:20:00  12:20:00浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall