11 papers
Inviscid Incompressible Limit for Degenerate Compressible Navier-Stokes Equations on Expanding Domains
Tong Tang, Emil Wiedemann, Lu Zhu
We simultaneously investigate the inviscid and Low Mach number limits on expanding domains for the degenerate compressible Navier-Stokes equations, whose viscosity depends on…
On the equivalence of generalized solution concepts for systems of hyperbolic conservations laws in fluid dynamics
Thomas Eiter, Robert Lasarzik, Emil Wiedemann
We investigate the relation between several generalized solution concepts for nonlinear PDE systems from fluid dynamics. More precisely, we study measure-valued solutions, dissipat…
Weak-Strong Uniqueness for a Rigid Body Immersed in an Inviscid Compressible Fluid
Qianfeng Li, Emil Wiedemann
We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time exis…
Maximal turbulence as a selection criterion for measure-valued solutions
Christian Klingenberg, Simon Markfelder, Emil Wiedemann
The quest for a good solution concept for the partial differential equations (PDEs) arising in mathematical fluid dynamics is an outstanding open problem. An important notion of so…
The Nonlocal-to-Local Limit for the Inviscid Leray-α Equations
Jule Schindler, Emil Wiedemann
We consider the inviscid Leray- equations - an inviscid nonlocal regularisation of the Euler equations. In the first part, we prove the convergence of strong solutions of the L…
2D Navier-Stokes with Navier Slip: Strong Vorticity Convergence and Strong Solutions for Unbounded Vorticity
Josef Demmel, Emil Wiedemann
We analyze the two-dimensional incompressible Navier-Stokes equations on a smooth, bounded domain with Navier boundary conditions. Starting from an initial vorticity in with…