Time-asymptotic stability of Riemann solutions to viscous conservation laws

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speaker: Yi Wang, Institute of Applied Physics and Computational Mathematics, Professor

time: 2024.5.29 ,4:00-5:30 PM   

place: Teaching building 308


Abstract:

First we talk about our recent progress on the time-asymotitc stability of generic Riemann solutions, consisting of  different multiple wave patterns, to the 1D compressible isentropic Navier-Stokes equations/full Navier-Stokes-Fourier equations, which had been unsolved for a long time.Then the time-asymptotic stability of planar Riemann solutions to the multi-dimensional compressible Navier-Stokes equations and the stability of composite waves of degenerate Oleinik shock and rarefaction waves to scalar non-convex conservation laws will be presented.


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