Department of Mathematics - Seminar on Applied Mathematics - Sharp Interface Limit for Compressible Immiscible Two-Phase Dynamics with Relaxation

3:00pm - 4:00pm
Room 3472 (Lifts 25/26)

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In this talk, the  compressible immiscible two-phase flow with relaxation is investigated, this model can be regarded as a natural modification of Jin-Xin relaxation scheme proposed and developed by S.Jin and Z.P.Xin([Comm.Pure Appl.Math., 48,1995]) in view of the numerical approximation of conservation laws. Given any entropy solution consists of two different families of shocks interacting at some positive time for the standard two-phase compressible Euler equations, it is proved that such entropy solution is the  sharp interface limit for a family global strong solutions of the modified Jin-Xin relaxation scheme for Navier-Stokes/Allen-Cahn system,  here the relaxation time is selected as the thickness of the interface,  weighted estimation and improved antiderivative method are used in the proof.

Event Format
Speakers / Performers:
Prof. Xiaoding Shi
Beijing University of Chemical Technology
Language
English
Recommended For
Alumni
Faculty and staff
PG students
UG students
Organizer
Department of Mathematics
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