A class of global expanding solutions to three dimensional compressible flows

PDE Seminar
Wednesday, December 13, 2017 - 15:00
1 hour (actually 50 minutes)
Skiles 005
King's College London
In a recent work Sideris constructed a finite-parameter family of compactly supported affine solutions to the free boundary compressible Euler equations satisfying the physical vacuum condition.  The support of these solutions expands at a linear rate in time. We show that if the adiabatic exponent gamma belongs to the interval(1, 5/3] then these affine motions are globally-in-time nonlinearly stable. If time permits we shall also discuss several classes of global solutions to the compressible Euler-Poisson system. This is a joint work with Juhi Jang.