clopen.solutions

Open problems

1170 registered problems.

OP-00477 Open

A bounded critical norm continuation criterion for stochastic Navier–Stokes

PR · AIM Open Applied Problems · blow-up criteria · stochastic Navier–Stokes equations · transport noise

OP-00478 Solution claimed

Transport-noise Navier–Stokes at critical smoothness minus one half

PR · AIM Open Applied Problems · critical spaces · Navier–Stokes equations · transport noise

OP-00479 Solution claimed

Local no-slip Navier–Stokes theory under non-small transport noise

PR · AIM Open Applied Problems · no-slip boundary conditions · stochastic Navier–Stokes equations · transport noise

OP-00534 Open

Small-time global null control of no-slip Navier–Stokes flow

OC · AIM Open Applied Problems · Navier–Stokes equations · null controllability

OP-00582 Open

Global finite-energy compressible flow at the diatomic exponent

AP · AIM Open Applied Problems · compressible Navier–Stokes equations · weak solutions

OP-00610 Open

The three-dimensional steady Leray problem with unrestricted boundary fluxes

AP · AIM Open Applied Problems · Leray problem · Navier–Stokes equations · steady flows

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-00620 Open

The no-slip inviscid limit in two dimensions

AP · AIM Open Applied Problems · boundary layers · inviscid limits · Navier–Stokes equations

OP-00863 Open

Steady planar flow around an obstacle at arbitrary Reynolds number

AP · AIM Open Applied Problems · exterior domains · flows past obstacles · stationary Navier–Stokes equations

OP-00874 Open

Anomalous viscous dissipation with fixed large-scale forcing

AP · AIM Open Applied Problems · anomalous dissipation · Navier–Stokes equations · turbulence

OP-00878 Open

An inertial manifold for the two-dimensional Navier–Stokes flow

AP · AIM Open Applied Problems · global attractors · inertial manifolds · Navier–Stokes equations

OP-00905 Open

The finite-Dirichlet Liouville problem for steady three-dimensional flow

AP · AIM Open Applied Problems · Liouville theorems · stationary Navier–Stokes equations

OP-01143 Open

An invariant law for a stochastic compressible fluid with pure power pressure

PR · AIM Open Applied Problems · compressible Navier–Stokes equations · invariant measures · stochastic PDEs

OP-01149 Open

Critical velocity control for a rigid body moving in a bounded viscous fluid

AP · AIM Open Applied Problems · conditional regularity · fluid–structure interaction · Navier–Stokes equations

OP-01154 Open

Global strong electrodiffusion with unequal ionic diffusivities

AP · AIM Open Applied Problems · ionic electrodiffusion · Nernst–Planck equations · Stokes equations

OP-01168 Open

Uniqueness of the invariant law for a stochastic one-dimensional compressible fluid

PR · AIM Open Applied Problems · compressible Navier–Stokes equations · ergodicity · invariant measures