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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.

Time:August 1, 2006 - January 31, 2008
Room:
Organizer:Chang-Shou Lin ( Department of Mathematics, National Taiwan University )

Available Talk List

2007-03-09 (Fri.)		Exact solutions of PDEs, subelliptic, degenerate elliptic, hyperbolic
2007-04-13 (Fri.)		Multiple solutions of semilinear elliptic equations in large domains
2007-05-03 (Thu.)		Unique continuation for the transversly isotropic dynamical systems and its application
2007-05-17 (Thu.)		Traveling waves of dynamical systems on a lattice
2007-05-24 (Thu.)		Uniqueness of axially symmetric solutions to the mean field equations arising from the spherical Onsager vortex
2007-05-25 (Fri.)		Travelling wave solutions for Fermi Pasta Ulam lattices, I, II
2007-05-31 (Thu.)		Harnack estimates in geometric heat equations
2007-06-07 (Thu.)		Singular integral transform of product functions and Bedrosian theorem
2007-06-08 (Fri.)		Fluid models with localized kinetic upscaling
2007-06-14 (Thu.)		Bifurcation and stability of double-diffusive convection
2007-06-28 (Thu.)		Optimal Decay Estimates on the Linearized Boltzmann Equation with Time Dependent Force and Their Applications
2007-07-27 (Fri.)		From Thomas-Fermi to Chern-Simons
2007-10-04 (Thu.)		A singular perturbation problem and the minimization problem of Allen-Cahn action functional
2007-10-18 (Thu.)		Uniqueness of standing waves for nonlinear Schrodinger equations
2007-11-01 (Thu.)		On PDEs with singular nonlinearities that model electrostatic MENS
2007-11-29 (Thu.)		Viscous standing asymptotic states
2007-12-06 (Thu.)		Solutions of elliptic PDE concerned with Toda system
2008-01-29 (Tue.)		Braid group theory and its