15 citations · 18 across the 15 of their papers we have counts for
16 papers
Energy rigidity and weak-strong uniqueness for the 2D anisotropic Navier-Stokes equations
Josef Demmel, Emil Wiedemann
In two dimensions, we show that dissipation in one spatial direction is sufficient to enforce the energy equality for every weak solution at the natural energy level. In particular…
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…
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 Le…
Strong Solutions and Applications to the Inviscid Limit for 2D Navier-Stokes with Navier Slip
Josef Demmel, Emil Wiedemann
We analyze the two-dimensional incompressible Navier-Stokes equations on a smooth, bounded, simply connected domain with Navier boundary conditions with friction coefficient $α\in…
On the Vanishing Viscosity Limit for Inhomogeneous Incompressible Navier-Stokes Equations on Bounded Domains
Jens Schröder, Emil Wiedemann
In this paper we study the vanishing viscosity limit for the inhomogeneous incompressible Navier-Stokes equations on bounded domains with no-slip boundary condition in two or three…
Energy Conservation and Vanishing Viscosity Limit for the Primitive Equations
Šárka Nečasová, Tong Tang, Emil Wiedemann +1
In this paper, we consider the problem of energy conservation for weak solutions of the inviscid Primitive Equations (PE) in a bounded domain. Based on the work [Bardos et al., Ons…
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…
Dissipative measure-valued solutions and weak-strong uniqueness for the Euler alignment system
Abhishek Chaudhary, Ujjwal Koley, Emil Wiedemann
We introduce the concept of a dissipative measure-valued solution to the Euler alignment system. This approach incorporates a modified total energy balance, utilizing a binary tens…
A Non-Conservative, Non-Local Approximation of the Burgers Equation
Shyam Sundar Ghoshal, Parasuram Venkatesh, Emil Wiedemann
The analysis of non-local regularisations of scalar conservation laws is an active research program. Applications of such equations are found in the modelling of physical phenomena…
Strong Convergence of Vorticities in the 2D Viscosity Limit on a Bounded Domain
Christian Seis, Emil Wiedemann, Jakub Woźnicki
In the vanishing viscosity limit from the Navier-Stokes to Euler equations on domains with boundaries, a main difficulty comes from the mismatch of boundary conditions and, consequ…
Wild solutions of the 3D axisymmetric Euler equations
Patrick Brkic, Emil Wiedemann
We consider the Cauchy problem for the 3D incompressible axisymmetric swirl-free Euler equations. The convex integration method developed by De Lellis and Székelyhidi rules out the…
Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +2
We show that weak solutions of general conservation laws in bounded domains conserve their generalized entropy, and other respective companion laws, if they possess a certain fract…
Non-uniqueness for the Euler equations: the effect of the boundary
Claude Bardos, László Székelyhidi, Emil Wiedemann
We consider rotational initial data for the two-dimensional incompressible Euler equations on an annulus. Using the convex integration framework, we show that there exist infinitel…
Vanishing viscosity as a selection principle for the Euler equations: The case of 3D shear flow
Claude Bardos, Edriss S. Titi, Emil Wiedemann
We show that for a certain family of initial data, there exist non-unique weak solutions to the 3D incompressible Euler equations satisfying the weak energy inequality, whereas the…