On the regular solutions for some classes of Navier-Stokes equations

Y. Ebihara; L.A. Medeiros

Displaying similar documents to “On the regular solutions for some classes of Navier-Stokes equations”

Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains

Jens Frehse, Michael Růžička (1996)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity

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.

Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity

K. Pileckas (1997)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

The resolution of the Navier-Stokes equations in anisotropic spaces.

Dragos Iftimie (1999)

Revista Matemática Iberoamericana

Similarity:

In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are H in the i-th direction, δ + δ + δ = 1/2, -1/2 < δ < 1/2 and in a space which is L in the first two directions and B in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.

Regular solutions of the Navier-Stokes system.

Chelkak, S., Koshelev, A., Oganesyan, L. (1997)

Memoirs on Differential Equations and Mathematical Physics

Similarity:

Higher order estimates in further dimensions for the solutions of Navier-Stokes equations

Michael Wiegner (2003)

Banach Center Publications

Similarity:

Some remarks on variants of the Navier-Stokes equations

R. H. Dyer, D. E. Edmunds (1971)

Colloquium Mathematicae

Similarity:

The Stokes system in the incompressible case-revisited

Rainer Picard (2008)

Banach Center Publications

Similarity:

The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.

A logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain

Jishan Fan, Xuanji Jia, Yong Zhou (2019)

Applications of Mathematics

Similarity:

This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain with the Navier-type boundary condition.