Special Issues
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Special Functions, Orthogonal Polynomials, and Differential Equations in Fluid Dynamics and Materials Processing: Theoretical Approaches and Practical Applications

Submission Deadline: 01 March 2025 View: 326 Submit to Special Issue

Guest Editors

Prof. Clemente Cesarano

Email: clemente.cesarano@uninettunouniversity.net

Affiliation: Section of Mathematics, UniNettuno University, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy.

Homepage: https://www.uninettunouniversity.net/it/sezione-di-matematica.aspx

Interests: special functions, orthogonal polynomials, and differential equations

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Prof. William Ramírez

Email: wramirez4@cuc.edu.co

Affiliation: Department of Natural and Exact Sciences, Universidad de la Costa, Calle 58,  55-66, 080002 Barranquilla, Colombia.

Homepage: https://www.researchgate.net/profile/William-Ramirez-7

Interests: special functions and orthogonal polynomials

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Prof. Shahid Ahmad Wani

Email: Shahidwani177@gmail.com: shahid.wani@sitpune.edu.in

Affiliation: Department of Applied Science, Symbiosis Institute of Technology,Symbiosis International (Deemed University), Gram: Lavale, Tal: Mulshi, Pune-412 115, Maharashtra, India

Homepage: https://www.researchgate.net/profile/William-Ramirez-7

Interests: special functions and orthogonal polynomials, Fractional Operators and Approximation Theory

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Summary

This special issue explores the role of special functions, orthogonal polynomials, and differential equations in fluid dynamics and materials processing. We aim to bridge theoretical mathematics with practical engineering applications, focusing on how these mathematical tools provide innovative solutions to complex problems in multiphase flows, fluid-structure interactions, and materials optimization.

 

Specific Themes:

 

Mathematical Modeling in Fluid Dynamics:

Application of special functions and orthogonal polynomials in modeling multiphase flows and complex fluids.

Development of numerical methods for solving differential equations in fluid dynamics.


Materials Processing and Differential Equations:

Use of differential equations to model the behavior of Newtonian and non-Newtonian fluids under various stimuli.

Application of orthogonal polynomials in optimizing industrial processes at different scales.


Mathematics Education in Engineering:

Strategies for integrating advanced mathematical concepts into engineering education, focusing on fluid dynamics and materials processing.


Keywords

Special Functions, Orthogonal Polynomials, and Differential Equations, Fluid Dynamics, Materials Processing

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