clopen.solutions

Open problems

980 registered problems.

OP-00496 Solution claimed
Sharp vanishing-viscosity control time for downstream transport
OC · AIM Open Applied Problems · null controllability · transport-diffusion equations · vanishing viscosity limits
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-00529 Open
Exact null control of a harmonically confined kinetic equation from a wedge
OC · AIM Open Applied Problems · hypoelliptic equations · null controllability · Ornstein–Uhlenbeck operators
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-00551 Solution claimed
Sharp exponential cost of fast boundary quantum control
OC · AIM Open Applied Problems · control costs · null controllability · Schrödinger 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-00742 Solution claimed
Exact uniform control time near a viscous Burgers shock
AP · AIM Open Applied Problems · Burgers equation · null controllability · vanishing viscosity
OP-00752 Solution claimed
Global constrained null control of a two-phase Stefan interface
OC · AIM Open Applied Problems · free boundary problems · null controllability · Stefan problem
OP-00762 Solution claimed
Uniform control of Neumann advection–diffusion for non-gradient flows
OC · AIM Open Applied Problems · null controllability · transport-diffusion equations · vanishing viscosity