Diagrammatic approach to the 3D Navier-Stokes system

Ya G. Sinai

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


This paper concerns the 3-dimensional Navier-Stokes system (NSS) on ℝ3 which describes the dynamics of viscous incompressible fluids without external forcing. For bounded initial conditions with compact support a locally convergent series is constructed which gives the solution of the NSS and whose coefficients are multidimensional integrals called diagrams. Estimates are given for various classes of diagrams and it is shown in particular that simple diagrams decay faster than exponentially.

Original languageEnglish (US)
Pages (from-to)849-873
Number of pages25
JournalRussian Mathematical Surveys
Issue number5
StatePublished - 2005

All Science Journal Classification (ASJC) codes

  • General Mathematics


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