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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, October 1, 2019 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Flow and Convection in a Coupled Free-flow and Porous Media Flow System
Xiaoming Wang (Southern University of Science and Technology)

Abstract:

Many natural and engineering problems involve the study of flow and convection in a system that couples  free-flow and porous media flow. In this talk, we present a few recent results on the Navier-Stokes-Darcy-Boussinesq equation which models the coupled system. In particular, the well-posedness of the model under appropriate interface conditions, the onset of convection at large enough Rayleigh number, and the decoupling of the subsystems at small Darcy number will be discussed.



 

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