Matthew Novack

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20232026

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math.AP2026

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 <…

math.AP2026

Non-conservation of a generalized helicity in the Euler equations

Vikram Giri, Hyunju Kwon, Matthew Novack

For a $C_{t, x}^{1}$ solution $u$ to the incompressible 3D Euler equations, the helicity $H (u (t)) = \int_{T^{3}} u \cdot curl u$ is constant in time. For general low-r…