Analytical Mechanics of Fluids and Continua: A Mathematical Physics Perspective
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 30 September 2026 | Viewed by 136
Special Issue Editors
Interests: classical physics-mathematics, thermodynamics (entropy, probability and uncertainty)
Interests: mathematical modelling engineering, applied and computational mathematics numerical analysis modeling and simulation numerical simulation stability stability analysis
Special Issue Information
Dear Colleagues,
This Special Issue will focus on the development and application of rigorous analytical methods in the mechanics of fluids, solids, and complex continua. It welcomes contributions that advance exact or asymptotic solutions, symmetry-based approaches, integrability techniques, variational and Hamiltonian formulations, and modern continuum theories capable of describing multiscale, multiphysics, and non-classical phenomena.
Topics of interest include (but are not limited to) exact and self-similar solutions in fluid dynamics, stability and bifurcation analysis, generalized continuum theories (micromorphic, strain-gradient, phase-field, and nonlocal models), soft matter and active materials, biological flows, geophysical and astrophysical fluid dynamics, wave propagation in complex media, and Hamiltonian/Lagrangian methods for dissipative and non-holonomic systems.
Particular emphasis will be placed on approaches that bridge classical analytical mechanics with contemporary challenges such as turbulence modeling, material instabilities, micro- and nano-flows, and climate-related fluid processes. Both theoretical developments and applications supported by analytical insight are encouraged. This Special Issue aims to gather high-quality works that preserve and extend the tradition of exact analysis in continuum mechanics while addressing pressing problems of the 21st century.
Dr. Gonçalo Dias
Dr. Bruno Pereira
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 250 words) can be sent to the Editorial Office for assessment.
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 physics
- fluid mechanics
- analytical mechanics
- Lagrangian dynamics
- Hamiltonian dynamics
- dynamics with constraints
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.
