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Zeitschriftenartikel:

A. Jüngel, C. Lin, K. Wu:
"An Asymptotic Limit of a Navier-Stokes System with Capillary Effects";
Communications in Mathematical Physics, 329 (2014), S. 725 - 744.



Kurzfassung deutsch:
Siehe englisches Abstract.

Kurzfassung englisch:
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.

Schlagworte:
Navier-Stokes equations; modulated entropy method


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s00220-014-1961-9


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.