An explicit Euler method for Sobolev vector fields with applications to the continuity equation

On the strong locality of differential operators

On anomalous regularity in Kraichnan’s model of turbulent transport

Inviscid limit in 2D avoids inviscid dissipation and anomalous dissipation

Suppression of chemotactic blow up by active scalar

Ground state (in-)stability and long-time behavior in multi-dimensional Schrödinger equations

Cusp formation of singular vortex patches

Rigidity of critical points of degenerate polyconvex energies

The third law of black hole thermodynamics and the black hole formation threshold

Zero-dispersion limit for the Benjamin-Ono Equation