This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin
schemes with subcell finite volume limiters applied to a new class of first order hyperbolic …

In this paper we present a novel first order hyperbolic reformulation of the barotropic Navier-
Stokes-Korteweg system. The new formulation is based on a combination of the first order …

In this paper, the main objective is to generalize to the Navier–Stokes–Korteweg (with
density dependent viscosities satisfying the BD relation) and Euler–Korteweg systems a …

In this paper, we considerably extend the results on global existence of entropy-weak
solutions to the compressible Navier–Stokes system with density dependent viscosities …

In this paper we consider the Quantum Navier–Stokes system both in two and in three space
dimensions and prove the global existence of finite energy weak solutions for large initial …

In this paper, we present a new explicit second-order accurate structure-preserving finite
volume scheme for the first-order hyperbolic reformulation of the Navier–Stokes–Korteweg …

We present a full derivation of capillary fluid equations from the kinetic theory of dense
gases. These equations involve van der Waals' gradient energy, Korteweg's tensor, and …

We derive a new model for thin viscous liquid films down an inclined plane. With an
asymptotic expansion in the long-wave limit, the Navier–Stokes equations and the work …

In this paper we consider the Navier–Stokes–Korteweg equations for a viscous
compressible fluid with capillarity effects in three space dimensions. We prove global …

In this paper we consider the Navier–Stokes–Korteweg equations for a viscous
compressible fluid with capillarity effects in three space dimensions. We prove compactness …