Symmetry in Continuum Mechanics and Dynamical Systems

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

Deadline for manuscript submissions: closed (30 September 2022) | Viewed by 2590

Special Issue Editors


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Guest Editor
Faculty of Mathematics and Computer Science, Transilvania University of Braşov, 500091 Braşov, Romania
Interests: mechanics; continuum mechanics; fluid mechanics; biomechanics; differential equations; dynamical systems; partial differential equations; numerical analysis

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Guest Editor
Department Product Design, Transylvania University of Brasov, 500019 Brasov, Romania
Interests: biomechanics; measurement theory and technique; prosthesis engineering

Special Issue Information

Dear Colleagues,

The present Special Issue covers most areas of Continuum Mechanics and Dynamical Systems that unify cinematics, dynamics, solid mechanics, fluid mechanics, thermodynamics, heat transfer, and the behavior of complex dynamical systems—all of which are core subjects of mechanical engineering. An important role in continuum mechanics is given by symmetry of the bodies’ behavior and also by the symmetry of the solutions of the mixte boundary value problems.

We can say that the laws of nature are mathematical expressions of certain symmetries or homogeneities of time, space, etc. The search for the laws and fundamental objects of nature is synonymous with the search for the most general group of symmetries that can be applied to fundamental interactions. And this is the essential contribution of Noether who revealed precisely this connection between laws (conservation laws) and symmetries, or deeper between laws and duality. Symmetry plays an important role in mechanics, from fundamental formulations of basic principles to concrete applications, such as stability criteria for rotating structures. Symmetry has been developed considerably in recent times in such diverse phenomena as reduction, stability, bifurcation and solution symmetry breaking relative to a given system symmetry group, methods of finding explicit solutions for integrable systems.

The topics of interest for publication include but are not limited to elasticity, thermoelasticity, heat transfer, plasticity, fracture mechanics, dynamics, vibrations, wave propagation, rheology, fluid–structure interaction systems, Newtonian and non-Newtonian fluids, dynamical systems, stability, biomechanics, and micro- and nano-structures.

All interested researchers are kindly invited to contribute to this Special Issue with their original research articles, short communications, and review articles. Please note that all submitted papers must be within the general scope of the Symmetry journal.

Dr. Olivia Ana Florea

Prof. Dr. Ileana Constanţa Roşca
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.

Keywords

  • symmetries of Fundamental Solutions
  • material symmetry properties
  • classical mechanics
  • fluid mechanics
  • solid mechanics
  • biomechanics
  • fracture mechanics
  • dynamical systems
  • differential equations
  • partial differential equations

Published Papers (1 paper)

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Research

13 pages, 281 KiB  
Article
Fixed Points of Proinov E-Contractions
by Maryam A. Alghamdi, Selma Gulyaz-Ozyurt and Andreea Fulga
Symmetry 2021, 13(6), 962; https://doi.org/10.3390/sym13060962 - 28 May 2021
Cited by 5 | Viewed by 1853
Abstract
In this paper, we consider a new type of Proinov contraction on the setting of a symmetrical abstract structure, more precisely, the metric space. Our goal is to expand on some results from the literature using admissible mappings and the concept of E [...] Read more.
In this paper, we consider a new type of Proinov contraction on the setting of a symmetrical abstract structure, more precisely, the metric space. Our goal is to expand on some results from the literature using admissible mappings and the concept of E-contraction. The considered examples indicate the validity of the obtained results. Full article
(This article belongs to the Special Issue Symmetry in Continuum Mechanics and Dynamical Systems)
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