Asymptotics of solutions of the stationary Navier-Stokes system of equations in a domain of layer type
Journal Article
·
· Sbornik. Mathematics
- Institute of Mathematics and Informatics, Vilnius (Lithuania)
The stationary Navier-Stokes system of equations is considered in a domain {omega} subset of R{sup 3} coinciding for large |x| with the layer {pi}=R{sup 2}x(0,1). A theorem is proved about the asymptotic behaviour of the solutions as |x|{yields}{infinity}. In particular, it is proved that for arbitrary data of the problem the solutions having non-zero flux through a cylindrical cross-section of the layer behave at infinity like the solutions of the linear Stokes system.
- OSTI ID:
- 21205734
- Journal Information:
- Sbornik. Mathematics, Vol. 193, Issue 12; Other Information: DOI: 10.1070/SM2002v193n12ABEH000700; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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