1999Advances in Differential EquationsOpen access

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

Marco Cannone, Fabrice Planchon

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Mathematics, Uniqueness, Mathematical analysis, Navier–Stokes equations, Compressibility, Physics, Mechanics

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