Mathematical Physics Equations and Delay PDEs: Exact Solutions, Symmetries, and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: closed (15 May 2023) | Viewed by 1342
Special Issue Editors
2. Department of Applied Mathematics, Bauman Moscow State Technical University, 5 Second Baumanskaya Street, 105005 Moscow, Russia
Interests: exact solutions, reductions, and symmetries; nonlinear partial differential equations; delay partial differential equations; mathematical physics equations; functional differential equations; methods of generalized and functional separation of variables; methods of differential and functional constraints; heat and mass transfer; hydrodynamics
Special Issues, Collections and Topics in MDPI journals
2. Moscow Engineering Physics, National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, 115409 Moscow, Russia
Interests: exact solutions; group analysis; methods of mathematical physics; asymptotic analysis; nonlinear partial differential equations for scientists and engineers; hydrodynamics and gas dynamics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Mathematical physics equations, partial differential equations with delays, and functional differential equations are widely used in modeling various phenomena and processes in natural, engineering, and social sciences. Exact solutions help to better understand the properties and qualitative features of differential equations. They play an important role of mathematical standards (reference solutions) that can be used to evaluate the accuracy of numerical, asymptotic, and approximate analytical methods. Note that exact solutions can provide a basis for improving computer algebra packages for solving partial differential equations.
This Special Issue aims to collect original and significant contributions on exact solutions to various mathematical physics equations and partial differential equations with delays, as well as initial boundary value problems. Equally welcome are relevant topics related to symmetry reductions, the development and refinement of methods for finding exact solutions, and new applications of exact solutions and mathematical physics equations. In addition, articles with new mathematical models in the natural sciences, which are described by PDEs and delay PDEs, are welcome. Note that articles with fractional PDEs are allowed only if there is a detailed discussion of the physical meaning of these equations.
Prof. Dr. Andrei D. Polyanin
Prof. Dr. Alexander V. Aksenov
Guest Editors
Manuscript Submission Information
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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.
Keywords
- mathematical physics equations
- nonlinear partial differential equations
- linear partial differential equations
- reaction–diffusion equations
- wave-type equations
- higher order PDEs
- PDEs with constant and variable delay
- functional PDEs
- fractional PDEs
- mathematical models in natural science
- exact solutions
- closed-form solutions
- self-similar solutions
- invariant solutions
- generalized separable solutions
- functional separable solutions
- traveling wave solutions (only with physical or other applications)
- asymptotic solutions
- initial boundary value problems
- classical symmetries
- nonclassical symmetries
- symmetry reductions
- weak symmetries
- differential constraints
- functional constraints
