Navier–stokes equations with nonhomogeneous dirichlet data

Journal of Nonlinear Mathematical Physics

Volumn 10, Issue , 2003, Pages 1-11

  Amann, Herbert ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646673788     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2003.10.s1.1     Document Type: Article

References (14)

1. Amann H, Linear and Quasilinear Parabolic Problems, Volume I:Abstract Linear Theory, Birkhäuser, Basel, 1995
2. Amann, H. 2000. On the Strong Solvability of the Navier–Stokes Equations. J. Math. Fluid Mech., 2:16–98.
3. Amann, H. 2002. Nonhomogeneous Navier–Stokes Equations in Spaces of Low Regularity, in Topics in Mathematical Fluid Mechanics. Quaderni di Matematica, 10:13–31.
4. Amann, H. 2002. Nonhomogeneous Navier–Stokes Equations with Integrable Low-Regularity Data, in Nonlinear Problems in Mathematical Physics and Related Topics, II, Int. Math. Ser., 1–28. New York:Kluwer/Plenum.
5. r-Theorem of the Helmholtz Decomposition of Vector Fields. J. Fac. Sci. Univ. Tokyo, Sect. IA, Math., 24:685–700.
6. p-Spaces. Comm. Partial Diff. Equ., 15:289–340.
7. p Sobolev Spaces. Diff. Int. Equ., 8:1013–1046.
8. p Sobolev Spaces over Interior and Exterior Domains, in Theory of the Navier–Stokes Equations, Ser. Adv. Math. Appl. Sci. 47, Edited by:Heywood, J G, Masuda, K, Rautmann, R, and Solonnikov, V A. 43–63. Singapore:World Scientific.
9. p Sobolev Spaces. J. Math. Fluid Mech., 3:57–81.
10. Grubb, G, and Solonnikov, V A. 1991. Boundary Value Problems for the Nonstationary Navier–Stokes Equations Treated by Pseudo-Differential Methods. Math. Scand., 69:217–290.
11. Ladyzhenskaya, O A. 1969. Mathematical Theory of Viscous Incompressible Flow, New York:Gordon & Breach.
12. Ladyzhenskaya O A, Solonnikov V A, Some Problems of Vector Analysis, and Generalized Formulations of Boundary Value Problems for the Navier–Stokes Equation, Boundary Value Problems of Mathematical Physics and Related Questions in the Theory of Functions, 9; translated from LOMI 59 (1976), 81–116
13. q-Spaces for Bounded and Exterior Domains, in Math. Problems Relating to the Navier–Stokes Equations, Edited by:Galdi, G P. 1–36. Singapore:World Scientific.
14. Triebel, H. 1978. Interpolation Theory, Function Spaces, Differential Operators, Amsterdam:North Holland.