Special Issue "Fluid Dynamics: Mathematics and Numerical Experiment"

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 31 December 2023 | Viewed by 187

Special Issue Editors

1. I. I. Vorovich Institute for Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-na-Donu 344090, Russia
2. Southern Mathematical Institute of VSC RAS, Vladikavkaz 362027, Russia
Interests: non-linear dynamics; stability and bifurctaions; asymptotic analysis; averaging and homogenization; fluid mechanics; perceptive and chermosensitive motions; populational dynamics; mathematical modelling
Department of Mathematics, DCC-KFUPM, P.O. Box 5084, Dhahran 31261, Saudi Arabia
Interests: mathematical modelling; computational fluid dynamics; modeling and simulation; numerical analysis; applied mathematics; engineering, applied and computational mathematics; computational simulation; numerical simulation; numerical modeling; numerical mathematics
Dr. Tatiana S. Martynova
E-Mail Website
Guest Editor
Vorovich Institute of Mathematics, Mechanics and Computer Science, Milchakova Street 8a, Southern Federal University, 344090 Rostov-on-Don, Russia
Interests: mathematical modeling of convection-diffusion problems; iterative methods for solving linear algebraic equation systems; preconditioning of the linear systems of algebraic equations; constrained optimization problems; iterative methods for saddle point linear systems of algebraic equations

Special Issue Information

Dear Colleagues,

We cordially invite you to submit your research to this Special Issue. Despite the considerable recent advances in mathematical theory and numerical techniques for fluids, a multitude of challenging issues remain. Given the existing high-intensity investigations, it is very important to present every achievement to the research community, and a logical way to do so is by taking advantage of open-access publishing. This Special Issue in Axioms aims to provide such an opportunity to a wider range of researchers working in Fluid Dynamics. That is why it is our intention to set a wide scope for this Special Issue. We encourage the submitting of high-quality studies of boundary-value problems; developments in the numerical schemes; numerical, asymptotical, and exact solutions to concrete problems, analytical and numerical analyses of stability problems; and research into instabilities, bifurcations, and any other matters of such a kind with applications in Fluid Dynamics. Our scope covers but is not restricted to vortex dynamics, free boundary flows, water waves, shallow water and thin films, viscous incompressible fluid, stratified and compressible fluid, electro/magnetohydrodynamics, fluid–structure interactions, hemodynamics, microfluidics, and coupling the Keller–Segel systems to hydrodynamics.

Dr. Andrey Morgulis
Dr. Muhammad Adil Sadiq
Dr. Tatiana S. Martynova
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 submissions that pass pre-check are 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. Axioms 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 2400 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.


  • fluid dynamics
  • microfluidics
  • hemodynamics
  • fluid-structure
  • numerical methods
  • reasonings asymptotics
  • exact solutions
  • simulation
  • wellposedness
  • stability
  • bifurcation
  • nonlinear dynamics

Published Papers

This special issue is now open for submission.
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