clopen.solutions

Open problems

980 registered problems.

OP-00582 Open
Global finite-energy compressible flow at the diatomic exponent
AP · AIM Open Applied Problems · compressible Navier–Stokes equations · weak solutions
OP-00595 Open
Multidimensional weak uniqueness for porous-medium flow with fractional pressure
AP · AIM Open Applied Problems · fractional pressure · porous medium equations · uniqueness of weak solutions
OP-00611 Open
Global weak flow of three-dimensional nematic directors without a hemisphere restriction
AP · AIM Open Applied Problems · Ericksen–Leslie system · nematic liquid crystals · weak solutions
OP-00627 Open
Large-data weak solutions for three-dimensional stress-diffusive Oldroyd-B flow
AP · AIM Open Applied Problems · Oldroyd-B model · viscoelastic fluids · weak solutions
OP-00760 Solution claimed
Existence for adaptive porous flow with a negative drag jump
AP · AIM Open Applied Problems · nonmonotone constitutive laws · porous media flow · weak solutions
OP-00795 Solution claimed
Continuity for degenerate fractional-pressure porous-medium flow
AP · AIM Open Applied Problems · continuity of weak solutions · fractional pressure · porous medium equations
OP-00842 Open
A nonlinear Weyl lemma at the minimal p-harmonic integrability threshold
AP · AIM Open Applied Problems · p-Laplace equation · very weak solutions
OP-00875 Open
Stationarity of Lipschitz weak solutions of the minimal-surface system
AP · AIM Open Applied Problems · minimal graphs · weak solutions
OP-00896 Open
Uniqueness of bounded semigeostrophic potential vorticity
AP · AIM Open Applied Problems · optimal transport · semigeostrophic equations · weak solutions