The unstable spectrum of the Navier–Stokes operator in the limit of vanishing viscosity

Roman Shvydkoy; Susan Friedlander

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Displaying similar documents to “The unstable spectrum of the Navier–Stokes operator in the limit of vanishing viscosity”

On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity

Roger Temam, Xiaoming Wang (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces L (R).

Tosio Kato, Gustavo Ponce (1986)

Revista Matemática Iberoamericana

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In this paper we show that the Euler equation for incompressible fluids in R² is well posed in the (vector-valued) Lebesgue spaces L_s ^p = (1 - ∆)^-s/2 L^p(R²) with s > 1 + 2/p, 1 < p < ∞ and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.

$L^{p}$ -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle

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Probability & incompressible Navier-Stokes equations: an overview of some recent developments.

Waymire, Edward C. (2005)

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Low Mach number limit for viscous compressible flows

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

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In this survey paper, we are concerned with the zero Mach number limit for compressible viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of barotropic fluids and we assume that the flow evolves in the whole space or satisfies periodic boundary conditions. We focus on the case of ill-prepared data. Hence highly oscillating acoustic waves are likely to propagate through the fluid. We nevertheless state the convergence to the incompressible Navier-Stokes...

Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping

Kwang-Ok Li, Yong-Ho Kim (2023)

Applications of Mathematics

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This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids. ...

$L^{p}$ -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle.

Geissert, Matthias, Hieber, Matthias (2007)

Acta Mathematica Universitatis Comenianae. New Series

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Displaying similar documents to “The unstable spectrum of the Navier–Stokes operator in the limit of vanishing viscosity”

On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity

Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces L (R).

L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle

Probability & incompressible Navier-Stokes equations: an overview of some recent developments.

Low Mach number limit for viscous compressible flows

Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping

L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle.

$L^{p}$ -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle

$L^{p}$ -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle.