zbMATH — the first resource for mathematics

The Navier-Stokes equations on a bounded domain. (English) Zbl 0451.35048

35Q30 Navier-Stokes equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
Full Text: DOI
[1] Almgren, F.J., Jr.: Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Memoirs of the American Mathematical Society 165. Providence, R.I.: American Mathematical Society 1976 · Zbl 0327.49043
[2] Federer, H.: Geometric measure theory. Berlin, Heidelberg, New York: Springer 1969 · Zbl 0176.00801
[3] Leray, J.: Acta Math.63, 193–248 (1934) · JFM 60.0726.05
[4] Mandelbrot, B.: Intermittent turbulence and fractal dimension kurtosis and the spectral exponent 5/3+B. In: Turbulence and Navier-Stokes equation. Lecture Notes in Mathematics, Vol. 565. Berlin, Heidelberg, New York: Springer 1976 · Zbl 0372.76043
[5] Scheffer, V.: Hausdorff measure and the Navier-Stokes equations. Commun. Math. Phys.55, 97–112 (1977) · Zbl 0357.35071
[6] Scheffer, V.: The Navier-Stokes equations in space dimension four. Commun. Math. Phys.61, 41–68 (1978) · Zbl 0403.35088
[7] Scheffer, V.: Partial regularity of solutions to the Navier-Stokes equations. Pacific J. Math.66, 535–552 (1976) · Zbl 0325.35064
[8] Stein, E.M.: Singular integrals and differentiability properties of functions. Princeton: Princeton University Press 1970 · Zbl 0207.13501
[9] Stein, E.M., Weiss, G.L.: Introduction to fourier analysis on euclidean spaces. Princeton: Princeton University Press 1971 · Zbl 0232.42007
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.