The inviscid limit and boundary layers for navier-stokes flows

Yasunori Maekawa, Anna Mazzucato

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations modeling viscous incompressible flows converge to solutions of the Euler equations modeling inviscid incompressible flows as viscosity approaches zero, is one of the most fundamental issues in mathematical fluid mechanics. The problem is classified into two categories: the case when the physical boundary is absent, and the case when the physical boundary is present and the effect of the boundary layer becomes significant. The aim of this chapter is to review recent progress on the mathematical analysis of this problem in each category.

Original languageEnglish (US)
Title of host publicationHandbook of Mathematical Analysis in Mechanics of Viscous Fluids
PublisherSpringer International Publishing
Pages781-828
Number of pages48
ISBN (Electronic)9783319133447
ISBN (Print)9783319133430
DOIs
StatePublished - Apr 19 2018

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Engineering(all)

Cite this

Maekawa, Y., & Mazzucato, A. (2018). The inviscid limit and boundary layers for navier-stokes flows. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (pp. 781-828). Springer International Publishing. https://doi.org/10.1007/978-3-319-13344-7_15