Publications in Scientific Journals:
"Effective velocity in compressible Navier-Stokes equations with third-order derivatives";
Nonlinear Analysis: Theory, Methods and Applications,
A formulation of certain barotropic compressible Navier-Stokes equations with third-order
derivatives as a viscous Euler system is proposed by using an effective velocity variable.
The equations model, for instance, viscous Korteweg or quantum Navier-Stokes flows. The
formulation in the new variable allows for the derivation of an entropy identity, which is
known as the BD (Bresch-Desjardins) entropy equation. As a consequence of this estimate,
a new global-in-time existence result for the one-dimensional quantum Navier-Stokes
equations with strictly positive particle densities is proved.
Siehe englisches Abstract.
Quantum Navier-Stokes equations; viscous Euler equations; osmotic velocity
Created from the Publication Database of the Vienna University of Technology.