clopen.solutions

Open problems

980 registered problems.

OP-00594 Open

Instantaneous spreading for fractional-pressure flow in several dimensions

AP · AIM Open Applied Problems · fractional pressure · infinite speed of propagation · porous medium equations

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-00613 Open

Uniqueness of all weak dual solutions of fractional porous-medium flow

AP · AIM Open Applied Problems · fractional porous medium equations · Riemannian manifolds · weak dual solutions

OP-00649 Open

Barenblatt attraction for porous-medium diffusion with time memory

AP · AIM Open Applied Problems · Caputo derivatives · large-time behaviour · porous medium equations

OP-00650 Open

Uniqueness for a point source in time-fractional porous-medium flow

AP · AIM Open Applied Problems · Caputo derivatives · fundamental solutions · porous medium equations

OP-00734 Solution claimed

A discrete Aronson–Bénilan estimate for an upwind growth scheme

NA · AIM Open Applied Problems · Aronson–Bénilan estimate · porous medium equation · upwind schemes

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-00809 Solution claimed

Mass conservation for fractional porous-medium flow on noncompact manifolds

AP · AIM Open Applied Problems · fractional porous medium equations · mass conservation · Riemannian manifolds

OP-00810 Solution claimed

Point-source solutions of fractional porous-medium diffusion on manifolds

AP · AIM Open Applied Problems · fractional porous medium equations · fundamental solutions · Riemannian manifolds