Ibrokhimbek Akramov

collaborators

3 papers

math.AP2020

Non-Unique Admissible Weak Solutions of the Compressible Euler Equations with Compact Support in Space

Ibrokhimbek Akramov, Emil Wiedemann

This paper is concerned with the existence of compactly supported admissible solutions to the Cauchy problem for the isentropic compressible Euler equations. In more than one space…

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

Renormalization of active scalar equations

Ibrokhimbek Akramov, Emil Wiedemann

We consider transport equations with an incompressible transporting vector field. Whereas smooth solutions of such equations conserve every $L^{p}$ norm simply by the chain rule, the…