Diagrammatic approach to the 3D Navier-Stokes system

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

This paper concerns the 3-dimensional Navier-Stokes system (NSS) on ℝ 3 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
Volume60
Issue number5
DOIs
StatePublished - Sep 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Diagrammatic approach to the 3D Navier-Stokes system'. Together they form a unique fingerprint.

  • Cite this