Solution of a spectral problem for the curl and the Stokes operator with periodic boundary conditions.

Saks, R.S.

Displaying similar documents to “Solution of a spectral problem for the curl and the Stokes operator with periodic boundary conditions.”

The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity

Jiří Neustupa, Patrick Penel (2008)

Banach Center Publications

Similarity:

We formulate a boundary value problem for the Navier-Stokes equations with prescribed u·n, curl u·n and alternatively (∂u/∂n)·n or curl²u·n on the boundary. We deal with the question of existence of a steady weak solution.

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.

Spectral discretization of Darcy equations coupled with Navier-Stokes equations by vorticity-velocity-pressure formulation

Yassine Mabrouki, Jamil Satouri (2022)

Applications of Mathematics

Similarity:

We consider a model coupling the Darcy equations in a porous medium with the Navier-Stokes equations in the cracks, for which the coupling is provided by the pressure's continuity on the interface. We discretize the coupled problem by the spectral element method combined with a nonoverlapping domain decomposition method. We prove the existence of solution for the discrete problem and establish an error estimation. We conclude with some numerical tests confirming the results of our analysis. ...

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

Michael Wiegner (2003)

Banach Center Publications

Similarity:

On the Qualitative Behavior of the Solutions to the 2-D Navier-Stokes Equation

M. Pulvirenti (2008)

Bollettino dell'Unione Matematica Italiana

Similarity:

This talk, based on a research in collaboration with E. Caglioti and F.Rousset, deals with a modified version of the two-dimensional Navier-Stokes equation wich preserves energy and momentum of inertia. Such a new equation is motivated by the occurrence of different dissipation time scales. It is also related to the gradient flow structure of the 2-D Navier-Stokes equation. The hope is to understand intermediate asymptotics.

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.

Dual-mixed finite element methods for the Navier-Stokes equations

Jason S. Howell, Noel J. Walkington (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.