Special Issue "Transport Phenomena Equations: Modelling and Applications"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 31 October 2021.

Special Issue Editors

Dr. Torcicollo Isabella
E-Mail Website
Guest Editor
Istituto per le Applicazioni del Calcolo “M. Picone” - Consiglio Nazionale delle Ricerche, Napoli, Italy
Interests: mathematical modeling; nonlinear diffusion problems; qualitative analysis and stability
Dr. Carfora Maria Francesca
E-Mail Website
Guest Editor
Istituto per le Applicazioni del Calcolo “M. Picone” - Consiglio Nazionale delle Ricerche, Napoli, Italy
Interests: numerical and statistical methods; stochastic processes

Special Issue Information

Dear Colleagues,

Transport theory has always been an area of wide interest. The term "transport" is often applied to the study of phenomena governing the rates of flow of mass, energy and momentum (or fluid flow). These phenomena are found in a number of combined processes in various fields  as chemical, food, biomedical and environmental sciences.

This Special Issue focuses on Transport Equations research with an emphasis on its recent advancements and its use in various applications.

It will provide state-of-the-art expositions of major advances by theoretical, numerical and experimental studies from a molecular, microscopic, mesoscopic or macroscopic point of view across the spectrum of transport phenomena, from scientific enquiries to practical applications.

This special issue will collect high-quality contributions from leading experts and researchers actively working in the field, reflecting both theoretical/analytical aspects and important recent advances in computational methods and applications. Topics of interest include, but are not limited to:

Models described by partial differential equations and originating from various subjects in population biology, such as physiologically structured equations and bacterial movement;

Inverse problems for such models: parameter estimation and model identification;

Stochastic differential equations and their applications;

Stochastic perturbation of differential models;

Transport in porous media using mass diffusion and different convective flow models such as Darcy and the Brinkman models;

Transport equations with applications to traffic problems;

Dr. Torcicollo Isabella
Dr. Carfora Maria Francesca
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 papers will be 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. Mathematics is an international peer-reviewed open access semimonthly 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 1600 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.


  • Transport Phenomena

  • Heat Transfer
  • Mass Transfer
  • Molecular – microscopic - macroscopic models
  • Model identification

Published Papers

This special issue is now open for submission.
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