Advances in Differential Equations

On the non-stationary Navier-Stokes equations with an external force

Marco Cannone and Fabrice Planchon

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We present two different existence and uniqueness algorithms for constructing global mild solutions in $\mathcal {C}([0,T); L^3(\mathbb{R}^3))$ to the Cauchy problem for the Navier-Stokes equations with an external force.

Article information

Adv. Differential Equations, Volume 4, Number 5 (1999), 697-730.

First available in Project Euclid: 15 April 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


Cannone, Marco; Planchon, Fabrice. On the non-stationary Navier-Stokes equations with an external force. Adv. Differential Equations 4 (1999), no. 5, 697--730.

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