Rooted Trees for 3d Navier-stokes Equation
نویسنده
چکیده
We establish a representation of the solution of 3d Navier-Stokes equations in the space Φ(α, α) using sums over rooted trees. We study the convergence properties of this series recovering in a simplified manner some results obtained recently by Sinai and other known results. The series representation make sense also in the critical case where there exists global solutions for small initial data.
منابع مشابه
Trees for Navier-stokes
We estabilish a representation of the solution of 3d Navier-Stokes equations in the space Φ(α, α) using sums over rooted trees. We study the convergence properties of the series so obtained recovering in a simplified manner some results obtained recently by Sinai and other known results. In particular we extend the series representation of Sinai to the critical case where there exists global so...
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