A. Jüngel:

"Effective velocity in compressible Navier-Stokes equations with third-order derivatives";

Nonlinear Analysis: Theory, Methods and Applications,74(2011), 2813 - 2818.

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.