5 papers · 1 filter
A sharp rigidity/flexibility threshold for the isotropic Landau equation
Nicholas Gismondi, William Golding, Matthew Novack
We establish a sharp rigidity/flexibility threshold for stationary solutions of the Krieger--Strain equation, an isotropic model of the Landau--Coulomb equation. For every $1< p <…
Non-conservation of a generalized helicity in the Euler equations
Vikram Giri, Hyunju Kwon, Matthew Novack
For a solution to the incompressible 3D Euler equations, the helicity is constant in time. For general low-r…
Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces
Estepan Ashkarian, Ataleshvara Bhargava, Nicholas Gismondi +1
In this paper we construct non-trivial solutions to the stationary Navier-Stokes equations on the two dimensional torus which lie in $\bigcap_{ε\in (0,1)} L^{2-ε}(\mathbb{T}^2) \ca…
Kinetic shock profiles for the Landau equation
Dallas Albritton, Jacob Bedrossian, Matthew Novack
The physical quantities in a gas should vary continuously across a shock. However, the physics inherent in the compressible Euler equations is insufficient to describe the width or…
Scaling laws and exact results in turbulence
Matthew Novack
In this note, we address the validity of certain exact results from turbulence theory in the deterministic setting. The main tools, inspired by the work of Duchon-Robert (Inertial…