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Cannone, M.; Planchon, F.

Self-similar solutions for Navier-Stokes equations in \(\mathbb{R} ^ 3\). (English) Zbl 0842.35075

Commun. Partial Differ. Equations 21, No. 1-2, 179-193 (1996).
Summary: We construct self-similar solutions for three-dimensional incompressible Navier-Stokes equations, providing some examples of functional spaces where this can be done. We apply our results to a particular case of \(L^2\) initial data.

Cited in 81 Documents

MSC:

35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

\(L^ 2\) initial data; self-similar solutions; three-dimensional incompressible Navier-Stokes equations
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References:

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