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20112023
most citedRegularity and Energy Conservation for the Compressible Euler Equations

96 citations · 518 across the 22 of their papers we have counts for

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31 papers · 1 filter

math.AP2023★ 4 cited

Probabilistic Descriptions of Fluid Flow: A Survey

Dennis Gallenmüller, Raphael Wagner, Emil Wiedemann

Fluids can behave in a highly irregular, turbulent way. It has long been realised that, therefore, some weak notion of solution is required when studying the fundamental partial di…

math.AP2023

On the vanishing viscosity limit for 3D axisymmetric flows without swirl

Patrick Brkic, Emil Wiedemann

We study the vanishing viscosity limit for the three-dimensional incompressible Navier-Stokes equations in terms of the relative vorticity in the setting of axisymmetric velocity f…

math.AP2022★ 6 cited

Statistical solutions of the incompressible Euler equations

Raphael Wagner, Emil Wiedemann

We study statistical solutions of the incompressible Euler equations in two dimensions with vorticity in , , and in the class of vortex-sheets with a dist…

math.AP2021

Which measure-valued solutions of the monoatomic gas equations are generated by weak solutions?

Dennis Gallenmüller, Emil Wiedemann

Contrary to the incompressible case not every measure-valued solution of the compressible Euler equations can be generated by weak solutions or a vanishing viscosity sequence. In t…

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 ) to exact weak solution…

math.AP2021

Weak-Strong Uniqueness for the Isentropic Euler Equations with Possible Vacuum

Shyam Sundar Ghoshal, Animesh Jana, Emil Wiedemann

We establish a weak-strong uniqueness result for the isentropic compressible Euler equations, that is: As long as a sufficiently regular solution exists, all energy-admissible weak…