Uniqueness of Plane Stationary Navier–Stokes Flow Past an Obstacle

Uniqueness of Plane Stationary Navier–Stokes Flow Past an Obstacle Full article

Journal

Archive for Rational Mechanics and Analysis
ISSN: 0003-9527 , E-ISSN: 1432-0673

Output data

Year: 2021, Volume: 240, Number: 3, Pages: 1487-1519 Pages count : 33 DOI: 10.1007/s00205-021-01640-9

Authors

Korobkov M. ^1,2 , Ren X. ¹

Affiliations

1	School of Mathematical Sciences, Fudan University, Shanghai, 200433, China
2	Sobolev Institute of Mathematics, pr-t Ac. Koptyug, 4, Novosibirsk, 630090, Russian Federation

We study the exterior problem for stationary Navier–Stokes equations in two dimensions describing a viscous incompressible fluid flowing past an obstacle. It is shown that, at small Reynolds numbers, the classical solutions constructed by Finn and Smith are unique in the class of D-solutions (that is, solutions with finite Dirichlet integral). No additional symmetry or decay assumptions are required. This result answers a long-standing open problem. In the proofs, we developed the ideas of the classical Ch. Amick paper (Acta Math. 1988). © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.

Korobkov M. , Ren X.
Uniqueness of Plane Stationary Navier–Stokes Flow Past an Obstacle
Archive for Rational Mechanics and Analysis. 2021. V.240. N3. P.1487-1519. DOI: 10.1007/s00205-021-01640-9 WOS Scopus OpenAlex

Web of science:	WOS:000631736400002
Scopus:	2-s2.0-85103282802
OpenAlex:	W3137033419

DB	Citing
Scopus	7
OpenAlex	9
Web of science	6