Self-similar solutions to the nonstationary

Hao Jia, Vladimir Sverak, Tai Peng Tsai

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationHandbook of Mathematical Analysis in Mechanics of Viscous Fluids
PublisherSpringer International Publishing
Pages461-507
Number of pages47
ISBN (Electronic)9783319133447
ISBN (Print)9783319133430
DOIs
StatePublished - Apr 19 2018

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    Jia, H., Sverak, V., & Tsai, T. P. (2018). Self-similar solutions to the nonstationary. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (pp. 461-507). Springer International Publishing. https://doi.org/10.1007/978-3-319-13344-7_9