clopen.solutions

Open problems

980 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-00526 Open
Global null control of a heat equation with cubic growth
OC · AIM Open Applied Problems · blow-up · null controllability · semilinear heat equations
OP-00560 Open
Small-time global control of a slightly superlinear heat equation
AP · AIM Open Applied Problems · blow-up · null controllability · semilinear heat equations
OP-00604 Open
Quantization of radial finite-time collapse in fully parabolic Keller–Segel
AP · AIM Open Applied Problems · chemotactic collapse · finite-time blow-up · Keller–Segel system
OP-00633 Open
Finite-time collapse in the planar self-steepening Schrödinger equation
AP · AIM Open Applied Problems · derivative nonlinear Schrödinger equations · finite-time blow-up
OP-00640 Open
Global smoothness for the real scalar defocusing septic wave equation
AP · AIM Open Applied Problems · energy-supercritical equations · finite-time blow-up · nonlinear wave equations
OP-00657 Open
Finite-time Langmuir collapse for the three-dimensional Zakharov system
AP · AIM Open Applied Problems · blow-up · Langmuir waves · Zakharov system
OP-00881 Open
Uniqueness of the limiting shape at a network singularity
AP · AIM Open Applied Problems · blow-up limits · curvature flows · planar networks