The Stabilizing Effect of Volumetric Stress on Inviscid Compressible Systems

The global solvability of compressible non-resistive and heat-conducting MHD system

Stability of Couette flow for 2D tropical climate model

Long-Time Behavior of the Two-Dimensional Oldroyd-B Model with Mixed Partial Dissipation

Construction of Singular Solutions of the Lamé System in a Cone with Vanishing Condition for the External Pressure

Obtaining Rheological Models of Nickel Alloy KhN62VMYuT-VD under Various Deformation Modes

Swirl ill-posedness for incompressible fluids in (sub)critical spaces

For the 3D Navier-Stokes equations with sufficiently smooth initial data having zero swirl $u_{0\theta}\equiv 0$, Ladyzhenskaya \cite{L1968} and Ukhovskii and Yudovich \cite{UY1968} established global regularity. It has since remained open as to whether well-posedness still holds for smooth axisymmetric initial data, w...