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.

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.

http://www.asc.tuwien.ac.at/preprint/2009/asc28x2009.pdf

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