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
Keywords:
Korteweg-type models, quantum hydrodynamic equations, viscous Euler system, energy estimates.
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2009/asc28x2009.pdf
Created from the Publication Database of the Vienna University of Technology.