Global Existence Theorem for the Solutions of 3d Navier-Stokes System on T3 for small initial data from the space P(a)

M. D. Arnold; Ya. G. Sinai

arxiv: 0710.3842 · v1 · pith:BQVTHRWLnew · submitted 2007-10-20 · 🧮 math.AP · math-ph· math.MP

Global Existence Theorem for the Solutions of 3d Navier-Stokes System on T3 for small initial data from the space P(a)

M. D. Arnold , Ya. G. Sinai This is my paper

classification 🧮 math.AP math-phmath.MP

keywords systemdatainitialnavier-stokessmallspaceasymptoticbehavior

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We consider 3d Navier-Stokes system with periodic boundary conditions for small initial data from the space of Pseudomeasures. We provide asymptotic behavior for the coefficients in the perturbation series for the solution of this system.

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Global Existence Theorem for the Solutions of 3d Navier-Stokes System on T3 for small initial data from the space P(a)

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