Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bogovskij, M. E.: Solution of the first boundary value problem for the equation of continuity of an incompressible medium. Soviet Math. Doklady 20, 1094–1098(1979).
Borchers, W. and Sohr, H.: The equations div u = f and rot v = g with homogeneous Dirichlet boundary conditions. Preprint (1988).
Erig, W.: Die Gleichungen von Stokes und die Bogovskij-Formel. Diplomarbeit. Universität Paderborn(1982).
Grenz, S.: Zerlegungssätze für Vektorfelder. Zerlegung von H 1,20 bezüglich der Rotation. Diplomarbeit. Universität Bayreuth (1987).
Kress, R.: Vorlesungen über Potentialtheorie. Universität Göttingen (Wintersemester 1972/73).
Kress, R.: Grundzüge einer Theorie der verallgemeinerten harmonischen Vektorfelder. Meth. Verf. math. Phys. 2, 49–83(1969).
Kress, R.: Potentialtheoretische Randwertprobleme bei Tensorfeldern beliebiger Dimension und beliebigen Ranges. Arch. Rat. Mech. An. 47, 59–80(1972).
Ladyzhenskaja, O. A. and Solonnikov, V. A.: Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Journal of Soviet Mathematics 10, 257–286(1978).
Wahl, W. von: Vorlesung “Partielle Differentialgleichungen II (Potentialtheorie)”. Vorlesungsausarbeitung. Universität Bayreuth (1987).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
von Wahl, W. (1990). On necessary and sufficient conditions for the solvability of the equations rot μ=γ and div μ=ε with μ vanishing on the boundary. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086065
Download citation
DOI: https://doi.org/10.1007/BFb0086065
Received:
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52770-1
Online ISBN: 978-3-540-47141-7
eBook Packages: Springer Book Archive