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Quantitative uniqueness for the Stokes Equations
Prof. Ching-Lung Lin ( National Cheng Kung University )

2008 - 10 - 16 (Thu.)
15:30 - 16:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

I would like to talk about a recent study on the local behavior of a solution to the Stokes Equations. One of the main results is the bound on the vanishing order of the pair of solution and pressure, which is a quantitative estimate of the strong unique continuation property. Our proofs use Carleman estimates with carefully chosen weights. We will derive optimal three-sphere inequalities and doubling inequalities.

Time:15:30 - 16:30, Thursday, September 14, 2009 - June 30, 2010
Room:308, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizer:Tai-Chia Lin ( Department of Mathematics, National Taiwan University )

Available Talk List

2008-10-02 (Thu.)		Bifurcation theory and its applications on the convection problems
2008-10-16 (Thu.)		Quantitative uniqueness for the Stokes Equations
2008-10-23 (Thu.)		Blowup rate estimates for the heat equation with a nonlinear gradient source term
2008-11-06 (Thu.)		Depth dependent stability estimate in electrical impedance tomography
2008-11-27 (Thu.)		Basic Equations of Modern Gas Dynamics
2008-12-04 (Thu.)		TBA
2008-12-18 (Thu.)		Form Strichartz Estimate to Bilinear Estimates
2008-12-31 (Wed.)		A multiscale hyperbolic system modeling cell cycles
2009-01-08 (Thu.)		From particle to kinetic and fluid descriptions on flocking
2009-01-15 (Thu.)		Stability of curved interfaces in the perturbed Allen-Cahn model
2009-01-15 (Thu.)		Diffusive synchronization of oscillations
2009-03-26 (Thu.)		An EIT problem in acoustic
2009-03-26 (Thu.)		Vacuum states for compresible Navier-Stokes equation.
2009-04-30 (Thu.)		On the symmetry properties of extremals for Hardy-Sobolev type inequalities in dimension two
2009-04-30 (Thu.)		Harnack type inequalities for singular Liouville equations
2009-06-04 (Thu.)		Combinatorics and PDEs
2009-09-24 (Thu.)		Elliptic problems on networks with constrictions
2009-10-08 (Thu.)		Spherical Averaged Endpoint Strichartz Estimates for The Two-dimensional Schrodinger Equations with Inverse Square Potential
2009-10-15 (Thu.)		Energetic variational analysis of ions in water and channels
2009-10-22 (Thu.)		Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary
2009-10-29 (Thu.)		The kinetic theory approach to modeling neuronal networks
2009-11-05 (Thu.)		Instability of multi-spots in general shadow systems for reaction-diffusion equations
2009-11-12 (Thu.)		On Nonlinear Dirac Equations
2009-12-17 (Thu.)		Bilinear Strichartz estimates for Schr\"{o}dinger operators in 2 dimensional compact manifolds with boundary
2009-12-31 (Thu.)		Mathematical Analysis of the Dimensional Scaling Technique in Chemical Physics
2010-03-18 (Thu.)		Global Cauchy problem for Klein-Gordon equations with quadratic nonlinearities.
2010-03-25 (Thu.)		Large time behavior of hot spots to a linear heat equation with a potential
2010-03-25 (Thu.)		Spatial disorder of soliton solutions for discrete nonlinear Schr\"odinger equations in a $2D$ lattice
2010-04-08 (Thu.)		T-C scheme for the linear and nonlinear stability of viscous shock
2010-05-13 (Thu.)		Long-wave limit of periodic solutions of nonlinear wave equations
2010-05-13 (Thu.)		Numerical simulations of periodic initial-value problems
2010-05-20 (Thu.)		Monotonicity formulas for free boundary problems on manifolds
2010-05-20 (Thu.)		An Inverse Problem Arising in Photolithography
2010-05-27 (Thu.)		When physics meets mathematics: My personal journey