Remark on regularity of weak solutions to the Navier-Stokes equations.
Skalák, Zdeněk, Kučera, Petr (2001)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Skalák, Zdeněk, Kučera, Petr (2001)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
K. K. Golovkin, A. Krzywicki (1967)
Colloquium Mathematicae
Similarity:
Beirão da Veiga, H. (1997)
Portugaliae Mathematica
Similarity:
Pigong Han (2012)
Applications of Mathematics
Similarity:
In this paper we establish interior regularity for weak solutions and partial regularity for suitable weak solutions of the perturbed Navier-Stokes system, which can be regarded as generalizations of the results in L. Caffarelli, R. Kohn, L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations, Commun. Pure. Appl. Math. 35 (1982), 771–831, and S. Takahashi, On interior regularity criteria for weak solutions of the Navier-Stokes equations, Manuscr....
Aycil Cesmelioglu, Vivette Girault, Béatrice Rivière (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.
Patrick Penel, Milan Pokorný (2004)
Applications of Mathematics
Similarity:
We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
Fan, Jishan, Ozawa, Tohru (2008)
Journal of Inequalities and Applications [electronic only]
Similarity: