Special Issue "Mathematics in Fluid Mechanics: Theory, Modelling and Analytical Methods"

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

Deadline for manuscript submissions: 31 January 2020

Special Issue Editor

Guest Editor
Prof. Dr. Alexander N. Timokha

1. Centre of Excellence“Centre for Autonomous Marine Operations and Systems” (AMOS) and Department of Marine Technology, Norwegian University of Science and Technology (NTNU) , Otto Nielsens vei 10, Trondheim, NO-7491, Norway
2. Institute of Mathematics, National Academy of Sciences of Ukraine (NASU), Tereschenkivska 3, str., 01601, Kiev, Ukraine
Website | E-Mail
Interests: mathematical fluid mechanics; variational formalism in continuum media; fluid–structure interaction; surface wave theory including sloshing

Special Issue Information

Dear Colleagues,

This Special Issue has a three-fold topic. First, the topic covers the mathematical fundamentals (variational formalism, solvability and uniqueness theorems, etc.) of fluid mechanics, with primary emphasis on those appearing in nonlinear fluid dynamics; free-surface problems, including sloshing, porous media, interfacial, and multiphase flows; and Lagrangian-mean mass-transport theories. Secondly, the Special Issue focuses on the contemporary analytical mainstreams in fluid mechanics, which are in particular associated with the applied mathematical modelling of biomechanical swimming and flying, fluid transport at nanoscales, soft matter, and hydrodynamics of bacteria. Thirdly, the Special Issue welcomes authors who are working on developing analytical and semi-analytical methods and approaches in fluid mechanics, as well as authors who consider them as an important alternative/supplement to traditional, nowadays, computational fluid dynamics, simulations. In other words, this Special Issue would appreciate manuscripts written and submitted by researchers who love and enjoy mathematics in the classical and contemporary problems of fluid mechanics, regardless of whether the authors are mathematicians, engineers, or multidisciplinary scientists.

Prof. Dr. Alexander N. Timokha
Guest Editor

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 850 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.


  • mathematical fluid mechanics
  • variational formalism
  • free-boundary problems
  • fluid–structure interaction
  • surface wave theory including sloshing
  • applied mathematical modelling in fluid mechanics
  • biomechanics
  • soft matter
  • Lagrangian mean
  • analytical approximate methods in fluid mechanics

Published Papers

This special issue is now open for submission.
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