In this work we study the solution of the Riemann problem for the barotropic version of the
conservative symmetric hyperbolic and thermodynamically compatible (SHTC) two-phase …

The shallow-water equations for two-dimensional hydrostatic flow over a bottom bathymetry
b (x) are h t+(uh) x= 0, u t+(g h+ u 2/2+ gb) x= 0. It is shown that the combination of …

In this work, a shallow-water system for interfacial waves in the case of a neutrally buoyant
two-layer fluid system is considered. Such a situation arises in the case of large underwater …

It is shown how delta shock waves which consist of Dirac delta distributions and classical
shocks can be used to construct non-monotone solutions of the Buckley–Leverett equation …

In this article, we discuss about the resolution of the Riemann problem for a 2x2 system in
nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the …

It is shown how delta shock waves which consist of Dirac delta distributions and classical
shocks can be used to construct non-monotone solutions of the Buckley-Leverett equation …