Flux problem for a certain class of two-dimensional domains

Nonlinearity

Volumn 18, Issue 4, 2005, Pages 1699-1704

  Mucha, Piotr Bogusław ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244455631     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/4/016     Document Type: Article

References (14)

1. Amick C J 1984 Existence of solutions to the nonhomogeneous steady Navier-Stokes equations Indiana Univ. Math. J. 33 817-30
2. Borchers W and Pileckas K 1994 Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with multiply connected boundary Acta Appl. Math. 37 21-30
3. Clopeau T, Mikelić A and Robert R 1998 On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions Nonlinearity 11 1625-36
4. Fujita H, Morimoto H and Okamoto H 1997 Stability of Navier-Stokes flows in annuli Math. Methods Appl. Sci. 20 959-78
5. Galdi G P 1994 An Introduction to the Mathematical Theory of the Navier-Stokes Equations (Springer Tracts in Natural Philosophy vol II) (New York: Springer)
6. Hopf E 1941 Ein allgemeiner Endlichkeitssatz der Hydrodynamik Math. Ann. 117 764-75
7. Kapitanskii L V and Pileckas K I 1994 On spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries Proc. Steklov Math. Inst. 159 3-34
8. Kato T 1967 On classical solutions of the two-dimensional non-stationary Euler equation Arch. Rational Mech. Anal. 25 188-200
9. Ladyzhenskaya O A 1969 The Mathematical Theory of Viscous Incompressible Flow (London: Gordon and Breach)
10. Morimoto H 1998 General outflow condition for Navier-Stokes flow Recent Topics in Mathematical Theory of Viscous Incompressible Fluids (Tsukuba, Tokyo, 1996) (Lecture Notes Numer. Appl. Anal. vol 16) (Tokyo: Kinokuniya) pp 209-44
11. Morimoto H and Ukai S 1996 Perturbation of Navier-Stokes flow in an annular domain with non-vanishing outflow condition J. Math. Sci. Univ. Tokyo 3 73-82
12. Mucha P B 2003 On the inviscid limit of the Navier-Stokes equations for flows with large flux Nonlinearity 16 1715-32
13. Mucha P B 2004 The Navier-Stokes equations and the maximum principle Int. Math. Res. Not. 67 3585-605
14. Mucha P B 2004 On cylindrical symmetric flows through pipe-like domains J. Diff. Eqns 201 304-23