Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Stability of Navier–Stokes Equations
View through CrossRef
In this chapter we intend to investigate the stability of the Leray solutions constructed in the previous chapter. It is useful to start by analyzing the linearized version of the Navier–Stokes equations, so the first section of the chapter is devoted to the proof of the well-posedness of the time-dependent Stokes system. The study will be applied in Section 3.2 to the two-dimensional Navier–Stokes equations, and the more delicate case of three space dimensions will be dealt with in Sections 3.3–3.5.
Oxford University Press
Title: Stability of Navier–Stokes Equations
Description:
In this chapter we intend to investigate the stability of the Leray solutions constructed in the previous chapter.
It is useful to start by analyzing the linearized version of the Navier–Stokes equations, so the first section of the chapter is devoted to the proof of the well-posedness of the time-dependent Stokes system.
The study will be applied in Section 3.
2 to the two-dimensional Navier–Stokes equations, and the more delicate case of three space dimensions will be dealt with in Sections 3.
3–3.
5.
Related Results
A Comparison Between Full and Simplified Navier-Stokes Equation Solutions for Rotating Blade Cascade Flow on S1 Stream Surface of Revolution
A Comparison Between Full and Simplified Navier-Stokes Equation Solutions for Rotating Blade Cascade Flow on S1 Stream Surface of Revolution
A method for solving the Navier-Stokes equations of the rotating blade cascade flow on S1 stream surface of revolution is developed in the present paper.
In this pap...
On the α-Navier–Stokes–Vlasov and the α-Navier–Stokes–Vlasov–Fokker–Planck equations
On the α-Navier–Stokes–Vlasov and the α-Navier–Stokes–Vlasov–Fokker–Planck equations
We consider the α-Navier–Stokes equations coupled with a Vlasov type equation to model the flow of an incompressible fluid containing small particles. We prove the existence of glo...
Stokes and Navier–Stokes equations with nonhomogeneous boundary conditions
Stokes and Navier–Stokes equations with nonhomogeneous boundary conditions
In this paper, we study the existence and regularity of solutions to the Stokes and Oseen equations with nonhomogeneous Dirichlet boundary conditions with low regularity. We consid...
Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations
Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations
In this article, we discuss a time optimal feedback control for asymmetrical 3D Navier–Stokes–Voigt equations. Firstly, we consider the existence of the admissible trajectories for...
A Student's Guide to the Navier-Stokes Equations
A Student's Guide to the Navier-Stokes Equations
The Navier-Stokes equations describe the motion of fluids and are an invaluable addition to the toolbox of every physicist, applied mathematician, and engineer. The equations arise...
Small Darcy number limit of the Navier–Stokes–Darcy system
Small Darcy number limit of the Navier–Stokes–Darcy system
Abstract
We study the small Darcy number behavior of the Navier–Stokes–Darcy system with the conservation of mass, Beavers–Joseph–Saffman–Jones condition, and the Li...
ECONOMIC ESSENCE OF THE FINANCIAL STABILITY OF THE BANKING SYSTEM
ECONOMIC ESSENCE OF THE FINANCIAL STABILITY OF THE BANKING SYSTEM
Introduction. The article examines the essence of financial stability and stability of the banking system in order to analyze and understand them. The main approaches to interpreti...
Ten percent efficient anti-Stokes generation of 225-nm light
Ten percent efficient anti-Stokes generation of 225-nm light
Although considerable interest has been paid recently to Raman Stokes shifting in hydrogen, very little attention has been paid to nonlinear upconversion via anti-Stokes shifting. ...