3 years ago

Generalization of Cauchy invariants for equatorial β- plane flows

Anatoly Abrashkin

Publication date: Available online 8 January 2019

Source: Deep Sea Research Part II: Topical Studies in Oceanography

Author(s): Anatoly Abrashkin


Three Lagrangian invariants are shown to exist for flows in the equatorial region in the β - plane approximation. They extend the Cauchy invariants to a non-rotating fluid. The relationship between these generalized invariants and the results following from Kelvin's and Ertel's theorems is ascertained. Explicit expressions of the invariants for equatorially trapped waves and equatorial Gerstner waves are presented.

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.