Recent Developments in Mathematical Fluid Dynamics
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 28 February 2026 | Viewed by 9
Special Issue Editor
Special Issue Information
Dear Colleagues,
This Special Issue of Axioms aims to present and promote recent advances in the mathematical foundations and modern analytical, numerical, and computational methods for the study of fluid dynamics. As fluid flows play a central role in many physical, biological, and industrial processes, the rigorous understanding and modeling of their behavior remain a cornerstone of applied mathematics.
The focus of this Special Issue is on the development of axiomatic frameworks, new theoretical insights, and advanced numerical techniques that involve the mathematical modeling of fluids, whether incompressible, compressible, multiphase, non-Newtonian, or turbulent. Topics of interest include, but are not limited to, the following: the analysis of partial differential equations governing fluid motion; existence and uniqueness results; stability and control of flow systems; numerical schemes for multi-physics and multiscale phenomena; and applications to real-world systems.
This Special Issue also encourages contributions that bridge mathematical fluid dynamics with areas such as optimization, uncertainty quantification, machine learning, and high-performance computing. By assembling contributions from leading researchers and emerging scholars, this Special Issue will offer a snapshot of current trends and challenges, while highlighting open questions and directions for future work.
We look forward to your valuable contributions.
Dr. Andrea Chierici
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 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.
Keywords
- mathematical fluid dynamics
- partial differential equations
- multiphase flows
- non-Newtonian fluids
- numerical methods
- axiomatic modeling
- stability and control in fluid dynamics
- multiscale simulations
- high-performance computing
- machine learning in fluid dynamics
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
