NDLI: Global Solvability in W 2 2,1 -Weighted Spaces of the Two-Dimensional Navier–Stokes Problem in Domains with Strip-Like Outlets to Infinity

Content Provider	Springer Nature Link
Author	Pileckas, Konstantin
Copyright Year	2007
Abstract	The time-dependent Navier–Stokes system is studied in a two-dimensional domain with strip-like outlets to infinity in weighted Sobolev function spaces. It is proved that under natural compatibility conditions there exists a unique solution with prescribed fluxes over cross-sections of outlets to infinity which tends in each outlet to the corresponding time-dependent Poiseuille flow. The obtained results are proved for arbitrary large norms of the data (in particular, for arbitrary fluxes) and globally in time.
Ending Page	309
Page Count	38
Starting Page	272
File Format	PDF
ISSN	14226928
e-ISSN	14226952
Journal	Journal of Mathematical Fluid Mechanics
Issue Number	2
Volume Number	10
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2007-02-26
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics, Fluids, Thermodynamics noncompact domains global existence Mathematical Methods in Physics Fluids time-dependent Poiseuille flow Time-dependent Navier–Stokes equations Existence, uniqueness, and regularity theory Navier-Stokes equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics

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Global Solvability in W 2 2,1 -Weighted Spaces of the Two-Dimensional Navier–Stokes Problem in Domains with Strip-Like Outlets to Infinity