Special Issue "Vortex Dynamics: Theory and Application to Geophysical Flows"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 15 February 2020

Special Issue Editors

Guest Editor
Prof. Dr. Xavier Carton

Laboratoire d’Océanographie Physique et Spatiale, Institut Universitaire Européen de la Mer, Universite de Bretagne Occidentale, 29280 Plouzané, France
Website | E-Mail
Interests: vortex stability and interactions; application of vortex dynamics to the oceans; dynamics of exchange flows and slope currents in the ocean
Guest Editor
Dr. Mikhail Sokolovskiy

Institute of Water Problems, Russian Academy of Science, 3 Gubkina Street, 119333 Moscow, Russia
Website | E-Mail
Interests: vortex dynamics in stratified/homogeneous rotating fluid; application to the geophysical environs
Guest Editor
Dr. Jean Reinaud

Mathematical Institute, University of St. Andrews, North Haugh, St. Andrews KY169SS, UK
Website | E-Mail
Interests: geophysical fluid dynamics; vortex equilibria; vortex stability and interactions

Special Issue Information

Dear Colleagues,

Vortices are key features of fluid flows. It is long since known that they are central to flight dynamics and to ship motion. In the oceans and planetary atmospheres, they carry momentum, heat, energy, and tracers over long distances. Their role in atmospheric chemistry and ocean biology is amply demonstrated. In geophysical fluids, vortices play a central role in the spectral transfers of energy and of enstrophy between scales. In ocean dynamics, recent progress of theory and a major increase in computer performance have allowed the investigation of dynamical relations between vortices and smaller-scale features.

This Special Issue is dedicated to the publication of novel results on the three-dimensional structure and dynamics of vortices in rotating and/or stratified flows. Papers on layer-wise models of vortex dynamics are also invited. Papers focusing on their generation mechanism, stability, evolution, and interactions; on their relation with smaller-scale flows; and on their effects on tracer transport are solicited. Papers should preferably provide elements of mathematical theories in these contexts, but can also rely on extensive numerical modelling or data analysis.

The aim of this issue is to provide readers with an overview of recent progress in this field, with application to the dynamics of planetary oceans and atmospheres.

Prof. Dr. Xavier Carton
Dr. Mikhail Sokolovskiy
Dr. Jean Reinaud
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 350 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • theoretical and numerical studies of vortex dynamics
  • role of potential vorticity concentrations in rotating and stratified flow dynamics
  • vortex stability and/or evolution under external forcing
  • nonlinear interaction between vortices

Published Papers

This special issue is now open for submission.
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