clopen.solutions

Open problems

980 registered problems.

OP-00420 Solution claimed
Global regularity for critical SQG with state-dependent noise
PR · AIM Open Applied Problems · global regularity · multiplicative noise · surface quasi-geostrophic equations
OP-00599 Open
Global regularity of two-dimensional ideal incompressible MHD
AP · AIM Open Applied Problems · global regularity · incompressible flows · magnetohydrodynamics
OP-00603 Open
Smooth unforced inviscid Boussinesq evolution on the whole plane
AP · AIM Open Applied Problems · Boussinesq equations · finite-time blowup · global regularity
OP-00618 Open
Global regularity of the three-dimensional Navier–Stokes equations
AP · AIM Open Applied Problems · global regularity · incompressible flows · Navier–Stokes equations
OP-00621 Open
Large-data global regularity for creeping-flow Oldroyd–B without stress diffusion
AP · AIM Open Applied Problems · global regularity · Oldroyd-B fluids · viscoelastic fluids
OP-00626 Open
Global regularity of viscous planar MHD without magnetic diffusion
AP · AIM Open Applied Problems · global regularity · magnetohydrodynamics
OP-00646 Open
Global regularity for supercritical dissipative surface quasi-geostrophic flow
AP · AIM Open Applied Problems · fractional dissipation · global regularity · quasi-geostrophic equations
OP-00647 Open
Global smoothness of the one-dimensional surface-growth equation
AP · AIM Open Applied Problems · fourth-order parabolic equations · global regularity · surface growth models
OP-00652 Open
Global regularity for two-dimensional Kuramoto–Sivashinsky on arbitrary square tori
AP · AIM Open Applied Problems · global regularity · growing modes · Kuramoto–Sivashinsky equation