Self-similar solutions to the nonstationary

Hao Jia; Vladimir Šverák; Tai Peng Tsai

doi:10.1007/978-3-319-13344-7_9

Self-similar solutions to the nonstationary

Hao Jia, Vladimir Šverák, Tai Peng Tsai

Mathematics

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5 Scopus citations

Abstract

The Navier-Stokes equations have a natural scaling invariance which has played an essential role in their study. Valuable insights can be obtained from special solutions which are scale invariant with respect to the natural scaling. These solutions are often called self-similar solutions. In this chapter, important results for both forward self-similar and backward self-similar solutions are reviewed, and open problems will be mentioned.

Original language	English (US)
Title of host publication	Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Publisher	Springer International Publishing
Pages	461-507
Number of pages	47
ISBN (Electronic)	9783319133447
ISBN (Print)	9783319133430
DOIs	https://doi.org/10.1007/978-3-319-13344-7_9
State	Published - Apr 19 2018

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Self-similar solutions to the nonstationary

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