References
- Russo , R . 2010 . “ On Stokes' problem ” . In Advances in Mathematica Fluid Mechanics , Edited by: Rannacher , R and Sequeira , A . 473 – 511 . Berlin, Heidelberg : Springer-Verlag .
- Galdi , GP . 1998 . An Introduction to the Mathematical Theory of the Navier–Stokes Equations, Vol. I, 2nd revised edition of Springer Tracts in Natural Philosophy , New York : Springer-Verlag .
- Leray , J . 1933 . Étude de diverses équations intégrales non linéaire et de quelques problèmes que pose l'hydrodynamique . J. Math. Pures Appl. , 12 : 1 – 82 .
- Brown , RM and Shen , Z . 1995 . Estimates for the Stokes operator in Lipschitz domains . Indiana Univ. Math. J. , 44 : 1183 – 1206 .
- Fabes , EB , Kenig , CE and Verchota C , G . 1988 . Boundary value problems for the Stokes system on Lipschitz domains . Duke Math. J. , 57 : 769 – 793 .
- Mitrea , M and Taylor , M . 2001 . Navier–Stokes equations on Lipschitz domains in Riemannian manifolds . Math. Ann. , 321 : 955 – 987 .
- Shen , Z . 1995 . A note on the Dirichlet problem for the Stokes system in Lipschitz domains . Proc. Amer. Math. Soc. , 123 : 801 – 811 .
- Borchers , W and Pileckas , K . 1994 . Note on the flux problem for stationary Navier–Stokes equations in domains with multiply connected boundary . Acta Appl. Math. , 37 : 21 – 30 .
- Finn , R and Solonnikov , V . 1997 . Gradient estimates for solutions of the Navier–Stokes equations . Topol. Meth. Nonlinear Anal. , 9 : 29 – 39 .
- Mazya , V and Rossmann , J . A maximum modulus estimate for solutions of the Navier–Stokes system in domains of polyhedral type , arXiv:math-ph/0701020v3
- Solonnikov , VA . 1997 . On an estimate for the maximum modulus of the solution of a stationary problem for Navier–Stokes equations . Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov (POMI) , 249 : 294 – 302 . (English transl.: J. Math. Sci. (New York) 101 (2000) 3563–3569)