Semigroup approach to conservation laws with discontinuous flux

As noted above, most prior existen e theorems have relied upon the singular integral ontour equation for the height fun tion h ; in the ase of the innitely deep two-phase

Concerning the exact controllability for the scalar convex conservation laws the first work has been done in [ 13 ], where they considered the initial boundary value problem in

We present the DFLU scheme for the system of polymer flooding and compare it to the Godunov scheme whose flux is given by the exact solution of the Riemann problem.. We also

us naturally to the notion of boundary-coupled weak solution. We have defined boundary-coupled weak solution using the vorticity formulation of the Euler equations. However, in order

According to Proposition 2.6, whenever strong boundary traces u l,r in the sense (1.8) of a G(β)-entropy solution of (1.1),(1.2),(1.5) exist (this is the case, e.g., under

The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions.. Boris Andreianov,

multidimensional hyperbolic scalar conservation law, entropy solution, discontinuous flux, boundary trace, vanishing viscosity approximation, admissibility of

inhomogeneous scalar conservation law; discontinuous flux; change of variables; entropy solution; vanishing viscosity approximation; well-posedness; crossing