A class of global expanding solutions to three dimensional compressible flows

PDE Seminar
Wednesday, December 13, 2017 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 005
Mahir Hadžić – King's College London – mahir.hadzic@kcl.ac.ukhttps://nms.kcl.ac.uk/mahir.hadzic/
Yao Yao
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.