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Mathematics, Volume 9, Issue 17

September-1 2021 - 161 articles

Cover Story: The boundary value problem for the steady Navier–Stokes system is considered in a 2D multiply-connected bounded domain, with the boundary having a power cusp singularity at the point O. The case of a boundary value with nonzero flow rates over connected components of the boundary is studied. It is also supposed that there is a source/sink in O. In this case, the solution necessarily has an infinite Dirichlet integral. The existence of a solution to this problem is proved with the assumption that the flow rates are “sufficiently small”. This condition does not require the norm of the boundary data to be small. The solution is constructed as the sum of a function with the finite Dirichlet integral and a singular part coinciding with the asymptotic decomposition near the cusp point. View this paper.
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Articles (161)

  • Article
  • Open Access
3 Citations
1,860 Views
17 Pages

6 September 2021

In this paper, the thermal explosion model described by a nonlinear boundary value problem is studied. Firstly, we prove the comparison principle under nonlinear boundary conditions. Secondly, using the sub-super solution theorem, we prove the existe...

  • Feature Paper
  • Article
  • Open Access
7 Citations
3,831 Views
12 Pages

A Framework for Economically Optimal Operation of Explosive Waste Incineration Process to Reduce NOx Emission Concentration

  • Sunghyun Cho,
  • Dongwoo Kang,
  • Joseph Sang-Il Kwon,
  • Minsu Kim,
  • Hyungtae Cho,
  • Il Moon and
  • Junghwan Kim

6 September 2021

Explosives, especially those used for military weapons, have a short lifespan and their performance noticeably deteriorates over time. These old explosives need to be disposed of safely. Fluidized bed incinerators (FBIs) are safe for disposal of expl...

  • Article
  • Open Access
4 Citations
2,331 Views
35 Pages

6 September 2021

This paper proposes and studies the reachability of a singular regular dynamic discrete Leontief-type economic model which includes production industries, recycling industries, and non-renewable products in an integrated way. The designed prefixed fi...

  • Article
  • Open Access
54 Citations
6,434 Views
17 Pages

6 September 2021

Engineering data are often highly nonlinear and contain high-frequency noise, so the Levenberg–Marquardt (LM) algorithm may not converge when a neural network optimized by the algorithm is trained with engineering data. In this work, we analyzed the...

  • Article
  • Open Access
6 Citations
2,517 Views
11 Pages

6 September 2021

In the present paper, we consider the problem of dichotomic behaviors of dynamical systems described by discrete-time skew evolution cocycles in Banach spaces. We study two concepts of uniform dichotomy: uniform exponential dichotomy and uniform poly...

  • Article
  • Open Access
11 Citations
3,642 Views
13 Pages

Evaluation of the Work-Integrated Learning Methodology: Teaching Marketing through Practitioner Experience in the Classroom

  • Luis-Alberto Casado-Aranda,
  • Juan Sánchez-Fernández,
  • Francisco Javier Montoro-Ríos and
  • María Isabel Arias Horcajadas

5 September 2021

The teaching methodology in university marketing subjects has traditionally been based on “lecture classes”, which have proved to be insufficient for providing students with professional skills that can be directly applied in the workplace. This rese...

  • Article
  • Open Access
2 Citations
2,691 Views
15 Pages

5 September 2021

Reversible data hiding in encrypted images (RDHEI) is a technology which embeds secret data into encrypted images in a reversible way. In this paper, we proposed a novel high-capacity RDHEI method which is based on the compression of prediction error...

  • Article
  • Open Access
9 Citations
4,067 Views
30 Pages

5 September 2021

The efficient operation of emergency medical services is critical for any society. Typically, optimisation and simulation models support decisions on emergency ambulance stations’ locations and ambulance management strategies. Essential inputs for su...

  • Article
  • Open Access
10 Citations
3,550 Views
19 Pages

Optimization of Microjet Location Using Surrogate Model Coupled with Particle Swarm Optimization Algorithm

  • Mohammad Owais Qidwai,
  • Irfan Anjum Badruddin,
  • Noor Zaman Khan,
  • Mohammad Anas Khan and
  • Saad Alshahrani

5 September 2021

This study aimed to present the design methodology of microjet heat sinks with unequal jet spacing, using a machine learning technique which alleviates hot spots in heat sinks with non-uniform heat flux conditions. Latin hypercube sampling was used t...

  • Article
  • Open Access
4 Citations
2,908 Views
23 Pages

5 September 2021

Simulation programs are widely used in the design of analog electronic circuits to analyze their behavior and to predict the response of a circuit to variations in the circuit components. A fuzzy inference system (FIS) in combination with these simul...

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Mathematics - ISSN 2227-7390