Self-similar solutions to the nonstationary

Hao Jia, Vladimir Šverák, Tai Peng Tsai

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


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
Number of pages47
ISBN (Electronic)9783319133447
ISBN (Print)9783319133430
StatePublished - Apr 19 2018


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