Mathematical Problems in Engineering

Applied Mathematics and Statistical Mechanics and their Applications


Publishing date
01 May 2021
Status
Closed
Submission deadline
01 Jan 2021

1South Valley University, Qena, Egypt

2Sohag University, Sohag, Egypt

3Université 20 Août 1955 Skikda, Skikda, Algeria

4Al-Azhar University, Cairo, Egypt

This issue is now closed for submissions.
More articles will be published in the near future.

Applied Mathematics and Statistical Mechanics and their Applications

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Controlling the environment in which we live has always been a human concern. Controlling an environment depends on analysis and predictions. To achieve this, researchers use mathematical models, which are created using differential and integral equations. At the present time, there are different types of differential and integrative factors, which can be categorised based on the concept of rate of change. They are mainly used to depict natural events after Markovian processes, processes that do not contain memory. Differential and integrative factors can be based on the nucleus of energy law, and these operators are used to capture natural events after energy law processes, and processes without a clear beginning and end. These problems can be found in many areas of science, technology, and engineering. The differentiation and integration operators with the law of exponential decay are used to depict processes such as fatigue, vanishing memory problems, and intersection with a stable state. Nature is full of such problems. Differential and integral operators with cross behaviour in thermoelasticity, quantum optics, and statistical mechanics are used to solve more complex problems, especially problems that follow two different processes including, for example, fading memory and the energy law. Finally, differential and integral operators with dual properties, for instance memory and self-similarities, constitute powerful mathematical tools used to model nature.

There have been many developments in physical applications by the great progress that scientists have made towards an ever-deepening understanding of the basic concepts of quantum physics, parallel to the beginning of quantum information technology and communications engineering. The ability to quantify, control, and manipulate quantum systems on an individual level is an essential pilot resource that can be exploited in all these areas of research represented by quantum measurements, quantum sensing and control, and quantum communication. Certainly, regarding the development of quantum technology, thermoelasticity, and statistical mechanics tools, the possibility of or not gaining the ability to deal with a large number of quantum entanglement states is being explored, which is a mandatory path to reach new heights in quantum information science. In the framework shown above, in which the physical applications in quantum mechanics are considered to have reached a significant stage of complete maturity, quantum optics and quantum information are still, as always, the vanguard.

The main aim of this Special Issue is to publish new original research and review articles that deal with phenomena related to thermoelasticity theory, quantum optics, statistical mechanics, nonlinear dynamics, fluid dynamics, differential equations, quantum information, semiconducting, and mathematical modelling. In addition, studies that make a comparison between these topics and their applications in diverse practical fields are welcome.

Potential topics include but are not limited to the following:

  • Thermoelasticity theory
  • Quantum optics
  • Statistical mechanics
  • Nonlinear dynamics
  • Fluid dynamics
  • Differential equations
  • Quantum information
  • Semiconducting
  • Mathematical modelling

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 6663641
  • - Research Article

Computing Simplicial Depth by Using Importance Sampling Algorithm and Its Application

Fanyu Meng | Wei Shao | Yuxia Su
  • Special Issue
  • - Volume 2021
  • - Article ID 6633468
  • - Research Article

Heat Transport Improvement and Three-Dimensional Rotating Cone Flow of Hybrid-Based Nanofluid

Azad Hussain | Qusain Haider | ... | Shafiq Hussain
  • Special Issue
  • - Volume 2021
  • - Article ID 6688747
  • - Research Article

A New Heat Dissipation Model and Convective Two-Phase Nanofluid in Brittle Medium Flow over a Cone

Azad Hussain | Qusain Haider | ... | M. Y Malik
  • Special Issue
  • - Volume 2021
  • - Article ID 6690366
  • - Research Article

A Computational Model for the Radiated Kinetic Molecular Postulate of Fluid-Originated Nanomaterial Liquid Flow in the Induced Magnetic Flux Regime

Azad Hussain | Aysha Rehman | ... | Alibek Issakhov
  • Special Issue
  • - Volume 2021
  • - Article ID 6654101
  • - Research Article

The Mixture of the Marshall–Olkin Extended Weibull Distribution under Type-II Censoring and Different Loss Functions

Refah Alotaibi | Mervat Khalifa | ... | H. Rezk
  • Special Issue
  • - Volume 2021
  • - Article ID 6646287
  • - Research Article

Stationary Wavelet with Double Generalised Rayleigh Distribution

Hassan M. Aljohani
  • Special Issue
  • - Volume 2021
  • - Article ID 6641835
  • - Research Article

Combined Effects of Heat and Mass Transfer on MHD Free Convective Flow of Maxwell Fluid with Variable Temperature and Concentration

Muhammad Bilal Riaz | Maryam Asgir | ... | Shaowen Yao
  • Special Issue
  • - Volume 2021
  • - Article ID 6693243
  • - Research Article

Generalized Type-I Hybrid Censoring Scheme in Estimation Competing Risks Chen Lifetime Populations

Neveen Sayed-Ahmed | Taghreed M. Jawa | ... | G. A. Abd-Elmougod
  • Special Issue
  • - Volume 2021
  • - Article ID 6647035
  • - Research Article

Kinematics Analysis of 6-DoF Articulated Robot with Spherical Wrist

Seemal Asif | Philip Webb
  • Special Issue
  • - Volume 2021
  • - Article ID 6669558
  • - Research Article

A Dynamic Intersecting Arrangement Model Based on Isolated Draw Zones for Stope Structure Optimization during Sublevel Caving Mining

Guanghui Li | Fengyu Ren | ... | Guang Li
Mathematical Problems in Engineering
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CiteScore2.100
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Impact Factor1.430
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.