Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity
Keywords
Navier-Stokes equations, noncompact domains, time-dependent Poiseuille flow, existence and uniqueness of solutionsAbstract
The nonstationary Navier-Stokes problem is studied in a three-dimensional domain with cylindrical outlets to infinity in weighted Sobolev function spaces. The unique solvability of this problem is proved under natural compatibility conditions either for a small time interval or for small data. Moreover, it is shown that the solution having prescribed fluxes over cross-sections of outlets to infinity tends in each outlet to the corresponding time-dependent Poiseuille flow.Downloads
Published
2007-06-01
How to Cite
1.
PILECKAS, Konstantin. Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity. Topological Methods in Nonlinear Analysis. Online. 1 June 2007. Vol. 29, no. 2, pp. 333 - 360. [Accessed 29 March 2024].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0