Publications in Scientific Journals:
A. Jüngel, C. Lin, K. Wu:
"An Asymptotic Limit of a Navier-Stokes System with Capillary Effects";
Communications in Mathematical Physics,
329
(2014),
725
- 744.
English abstract:
A combined incompressible and vanishing capillarity limit in the barotropic
compressibleNavier-Stokes equations for smooth solutions is proved. The equations are
considered on the two-dimensional torus with well prepared initial data. Themomentum
equation contains a rotational term originating from a Coriolis force, a generalKortewegtype
tensor modeling capillary effects, and a density-dependent viscosity. The limiting
model is the viscous quasi-geostrophic equation for the "rotated" velocity potential. The
proof of the singular limit is based on themodulated energy method with a careful choice
of the correction terms.
German abstract:
Siehe englisches Abstract.
Keywords:
Navier-Stokes equations; modulated entropy method
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s00220-014-1961-9
Created from the Publication Database of the Vienna University of Technology.