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Symmetry
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Asymmetric and Symmetric Study with PDE
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Asymmetric and Symmetric Study with PDE

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 5652

Special Issue Editors

Dr. Zivorad Tomovski

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Guest Editor
Department of Mathematics, University of Ostrava, Ostrava, Czech Republic
Interests: applied mathematics; probability theory
Special Issues, Collections and Topics in MDPI journals
Dr. Jan Korbel

E-Mail Website
Guest Editor
Department of Science for Complex Systems, Medical University of Vienna & CSH Associate Faculty, 1080 Vienna, Austria
Interests: complex systems; econophysics; stochastic thermodynamics; theory of information; networks; generalized entropies
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Asymmetric and Symmetric Study with PDE (ASPDE) provides a platform for original research papers bridging the areas of mathematical analysis, computational mathematics, PDE in mathematical physics, engineering sciences, dynamical and complex systems, stochastic processes, boundary valued problems, fractional calculus modeling, continuous-time random walk (CTRW) models, etc. Papers addressing new theoretical techniques, novel ideas, and new analysis tools are suitable topics for this Special Issue of Symmetry. ASPDE accepts review articles of high quality, providing thorough and fast peer-review.

Dr. Zivorad Tomovski
Dr. Jan Korbel
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. Symmetry 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.

Published Papers (3 papers)

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Research

12 pages, 4173 KiB  
Article
Entropy Generation for MHD Peristaltic Transport of Non-Newtonian Fluid in a Horizontal Symmetric Divergent Channel
by Kinda Abuasbeh, Bilal Ahmed, Azmat Ullah Khan Niazi and Muath Awadalla
Symmetry 2023, 15(2), 359; https://0-doi-org.brum.beds.ac.uk/10.3390/sym15020359 - 29 Jan 2023
Cited by 2 | Viewed by 1182
Abstract
The analysis in view is proposed to investigate the impacts of entropy in the peristaltically flown Ree–Eyring fluid under the stress of a normally imposed uniform magnetic field in a non-uniform symmetric channel of varying thickness. The administering equations of the present flow [...] Read more.
The analysis in view is proposed to investigate the impacts of entropy in the peristaltically flown Ree–Eyring fluid under the stress of a normally imposed uniform magnetic field in a non-uniform symmetric channel of varying thickness. The administering equations of the present flow problem are switched into the non-dimensional form and then reduced by the availing of long wavelengths and creeping flow regime restrictions. The analytical treatment for the developed problem is performed to attain closed-form solutions which are further displayed as graphs of velocity, pressure, temperature, and entropy distribution. The trapping phenomenon has also been an area of our current examination. The role of relevant pronounced parameters such as the Brinkmann number, Hartmann number, and Ree–Eyring parameter for throwing vivid impacts are also concerned. It has been inferred that both the Brinkmann number and Ree–Eyring parameter with rising values inflate temperature and entropy profiles. The velocity profile shows the symmetric nature due to the horizontally assumed symmetric channel of varying thickness. The circulation of streamlines and bolus formations is visibly reduced in response to the increasing Hartmann number. Full article
(This article belongs to the Special Issue Asymmetric and Symmetric Study with PDE)
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13 pages, 313 KiB  
Article
Long-Wave Anti-Plane Motion in a Pre-Stressed Compressible Elastic Laminate with One Fixed and One Free Face
by Maha M. Helmi
Symmetry 2022, 14(12), 2516; https://0-doi-org.brum.beds.ac.uk/10.3390/sym14122516 - 28 Nov 2022
Viewed by 826
Abstract
In this paper, long-wave anti-plane shear motion in a multilayered laminate composed of pre-stressed compressible elastic layers is investigated. The layers of the laminate are perfectly bonded, while a fixed-free boundary condition is prescribed on the outer faces of the laminate. The solution [...] Read more.
In this paper, long-wave anti-plane shear motion in a multilayered laminate composed of pre-stressed compressible elastic layers is investigated. The layers of the laminate are perfectly bonded, while a fixed-free boundary condition is prescribed on the outer faces of the laminate. The solution of the model is determined analytically via the propagator matrix and numerically through the asymptotic approach. Moreover, the numerical results featuring harmonic curves are presented graphically, together with an asymptotic long-wave analysis of the vibration modes. As a special case of materials, linear isotropic with one shear modulus is considered. A polynomial long-wave low-frequency approximation of the related dispersion relation is also studied. It governs dispersion curves including the lowest harmonic. It is revealed that a low-frequency mode exists in both the two- and three-layered laminates, which are taken as prototypical structures. Lastly, comparisons between the exact and approximate asymptotic results are presented, and excellent agreement is observed. Full article
(This article belongs to the Special Issue Asymmetric and Symmetric Study with PDE)
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18 pages, 1163 KiB  
Article
Multi-Fractional Brownian Motion: Estimating the Hurst Exponent via Variational Smoothing with Applications in Finance
by Luca Di Persio and Gianni Turatta
Symmetry 2022, 14(8), 1657; https://0-doi-org.brum.beds.ac.uk/10.3390/sym14081657 - 11 Aug 2022
Cited by 2 | Viewed by 2929
Abstract
Beginning with the basics of the Wiener process, we consider limitations characterizing the “Brownian approach” in analyzing real phenomena. This leads us to first consider the fractional Brownian motion (fBm)—also discussing the Wood–Chan fast algorithm to generate sample paths—to then focus on multi-fBm [...] Read more.
Beginning with the basics of the Wiener process, we consider limitations characterizing the “Brownian approach” in analyzing real phenomena. This leads us to first consider the fractional Brownian motion (fBm)—also discussing the Wood–Chan fast algorithm to generate sample paths—to then focus on multi-fBm and methods to generate its trajectories. This is heavily linked to the Hurst exponent study, which we link to real data, firstly considering an absolute moment method, allowing us to obtain raw estimates, to then consider variational calculus approaches allowing to smooth it. The latter smoothing tool was tested in accuracy on synthetic data, comparing it with the exponential moving average method. Previous analyses and results were exploited to develop a forecasting procedure applied to the real data of foreign exchange rates from the Forex market. Full article
(This article belongs to the Special Issue Asymmetric and Symmetric Study with PDE)
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