clopen.solutions

Open problems

980 registered problems.

OP-00597 Open
Uniqueness of Glimm–Lax solutions for arbitrarily rough bounded data
AP · AIM Open Applied Problems · entropy solutions · hyperbolic conservation laws
OP-00622 Open
Vanishing nonlinear viscosity without commuting transport and diffusion matrices
AP · AIM Open Applied Problems · BV solutions · hyperbolic conservation laws · vanishing viscosity
OP-00623 Open
Automatic conservation laws for renormalized nonlinear diffusion
AP · AIM Open Applied Problems · conservation laws · reaction–diffusion systems · renormalized solutions
OP-00631 Open
Finite-time growth of total variation in physical gas dynamics
AP · AIM Open Applied Problems · entropy solutions · hyperbolic conservation laws
OP-00815 Solution claimed
Can one-dimensional entropy-dissipating systems have two bounded solutions?
AP · AIM Open Applied Problems · entropy solutions · hyperbolic conservation laws
OP-00841 Solution claimed
A universal quantitative error bound for small-BV hyperbolic flows
AP · AIM Open Applied Problems · a posteriori error estimates · hyperbolic conservation laws