Jack W. D. Skipper

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20182021

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math.AP2021

A General Convex Integration Scheme for the Isentropic Compressible Euler Equations

Tomasz Dębiec, Jack W. D. Skipper, Emil Wiedemann

We prove via convex integration a result that allows to pass from a so-called subsolution of the isentropic Euler equations (in space dimension at least $2$ ) to exact weak solution…

math.AP2019

Lower Semi-Continuity for $A$ -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" $A$ -quasiconvex integrand. We assume $A$ -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 $T^{d} \times [0, T]$ with a pressure law $p \in C^{1, γ - 1}$ , where $1 \leq γ < 2$ . This includes all physically relevant…

math.AP2018

Energy conservation for the Euler equations on $T^{2} \times R_{+}$ 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 $T^{2} \times R_{+}$ ; we use test functions that are divergence free and have zero normal component, t…

A General Convex Integration Scheme for the Isentropic Compressible Euler Equations

Lower Semi-Continuity for A-Quasiconvex Functionals under Convex Restrictions

Energy Conservation for the Compressible Euler and Navier-Stokes Equations with Vacuum

Energy conservation for the Euler equations on T2×R+​ for weak solutions defined without reference to the pressure

Lower Semi-Continuity for $A$ -Quasiconvex Functionals under Convex Restrictions

Energy conservation for the Euler equations on $T^{2} \times R_{+}$ for weak solutions defined without reference to the pressure