Advances in Non-equilibrium Fluid Mechanics: Theory, Analysis, and Simulations

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: closed (29 February 2024) | Viewed by 435

Special Issue Editors


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Guest Editor
Faculty of Physics, Moscow State University, 1-2 Leninskie Gory, Moscow, 119991, Russia
Interests: non-equilibrium fluid dynamics; rarefied gas dynamics; kinetic theory; shock waves; micro-channel flows

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Guest Editor
Kutateladze Institute of Thermophysics of Siberian Branch of the Russian Academy of Sciences, Lavrentyev Ave. 1, Novosibirsk, 630090, Russia
Interests: rarefied gas dynamics; direct simulation Monte Carlo; pulsed laser ablation; computational fluid dynamics

E-Mail Website
Guest Editor
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 119333 Moscow, Russia
Interests: computational fluid dynamics; numerical analysis; parallel computing; computational physics; rarefied gas dynamics
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Special Issue Information

Dear Colleagues,

The non-equilibrium of a flow is caused by physical and chemical processes occurring at different scales. The possibility of a detailed description of non-equilibrium fluid flows is of decisive importance, both for various engineering fields and for solving fundamental problems. The simulation of such flows is a multi-disciplinary problem encompassing molecular physics, chemistry, gas dynamics, thermodynamics and mathematics.

The goal of this Special Issue is to publish original research and review articles covering the applications of various mathematical models and describing the development of numerical methods to simulate non-equilibrium fluid dynamic processes.

Topics of interest include, but are not limited to, the following:

  • Boltzmann and Model Kinetic Equations
  • Direct Simulation Monte Carlo
  • Mesoscale and Multiscale Modeling
  • Micro- & Nanoscale Flows
  • Multiphase Flows
  • Non-equilibrium Reacting Flows
  • Plasma Flows and Processes
  • Supersonic Flows and Shock Waves
  • Rarefied Gas Flows and Vacuum Technologies.

Dr. Maksim Timokhin
Dr. Alexey A. Morozov
Dr. Vladimir Titarev
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.

Published Papers

There is no accepted submissions to this special issue at this moment.
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