Differential and Integral Equations

Global existence results for the incompressible density-dependent Navier-Stokes equations in the whole space

Benoît Desjardins

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Abstract

Global existence results for weak solutions of the so-called incompressible density-dependent Navier-Stokes equations are proven in the whole space $\mathbb{R}^N$ $(N \geq 2)$. In this note, the initial density is not required to be bounded from below by a positive constant and the viscosity may be a function of the density.

Article information

Source
Differential Integral Equations, Volume 10, Number 3 (1997), 587-598.

Dates
First available in Project Euclid: 2 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367525669

Mathematical Reviews number (MathSciNet)
MR1744863

Zentralblatt MATH identifier
0902.76027

Subjects
Primary: 76D03: Existence, uniqueness, and regularity theory [See also 35Q30]
Secondary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 76D05: Navier-Stokes equations [See also 35Q30]

Citation

Desjardins, Benoît. Global existence results for the incompressible density-dependent Navier-Stokes equations in the whole space. Differential Integral Equations 10 (1997), no. 3, 587--598. https://projecteuclid.org/euclid.die/1367525669


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