Science & Technology

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.

13 Jul 2023
3:00pm - 4:00pm
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Where
Room 3472 (Lifts 25/26)
Speakers/Performers
Prof. Xiaoding Shi
Beijing University of Chemical Technology
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
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