3 papers
math.AP2019
Lower Semi-Continuity for -Quasiconvex Functionals under Convex Restrictions
Jack W. D. Skipper, Emil Wiedemann
We show weak lower semi-continuity of functionals assuming the new notion of a "convexly constrained" -quasiconvex integrand. We assume -quasiconvexity only…
math.AP2018
Energy Conservation for the Compressible Euler and Navier-Stokes Equations with Vacuum
Ibrokhimbek Akramov, Tomasz Dębiec, Jack W. D. Skipper +1
We consider the compressible isentropic Euler equations on with a pressure law , where . This includes all physically relevant…
math.AP2018
Energy conservation for the Euler equations on for weak solutions defined without reference to the pressure
James C. Robinson, José L. Rodrigo, Jack W. D. Skipper
We study weak solutions of the incompressible Euler equations on ; we use test functions that are divergence free and have zero normal component, t…