Contributions to Books:

A. Jüngel:
"New velocity formulation of Euler equations with third-order derivatives: application to viscous Korteweg-type and quantum Navier-Stokes models";
in: "ASC Report 28/2009", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2009, ISBN: 978-3-902627-02-5.

English abstract:
A formulation of certain barotropic Euler equations with third-order derivatives, modeling viscous Kortewegtype
or quantum Navier-Stokes flows, as a viscous Euler system is proposed, using a new velocity variable. This
formulation allows for the derivation of an energy identity and a global existence result for the one-dimensional
quantum Navier-Stokes equations

Korteweg-type models, quantum hydrodynamic equations, viscous Euler system, energy estimates.

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.