Special Issue "Nonlinear Waves and Applications"

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

Deadline for manuscript submissions: 31 May 2020.

Special Issue Editor

Prof. Dr. Vassilis M Rothos
E-Mail Website
Guest Editor
Department of Mechanical Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, GR54124 Thessaloniki, Greece
Interests: dynamical systems; ordinary and partial differential equations; nonlinear waves; nonlinear optics

Special Issue Information

Dear Colleagues,

This Special Issue, “Nonlinear Waves and Applications”, will be open for the publication of high-quality mathematical papers in the area of nonlinear waves (integrable and non-integrable systems, discrete and continuous equations). Nonlinear dispersive wave equations provide excellent examples of infinite dimensional dynamical systems which possess diverse and fascinating solutions, including solitary waves, pattern formation, singularity formation, localized time-periodic structures, dispersive turbulence, and spatiotemporal chaos. The evolution equations (discrete and continuous systems) can be used to illustrate many striking features of nonlinear waves, each of which has been understood by a combination of methods from scientific computations and from the theory of PDEs, applied analysis, and dynamical systems. These features include solitary waves and solitons, periodic waves and quasi-periodic wavetrains, long-time asymptotics, finite time blow-up, instabilities and unstable manifolds, and spatiotemporal chaos.

One of the more exciting areas in applied mathematics is the study of the dynamics associated with the propagation of information. Phenomena of interest include the transmission of impulses in nerve fibers, the transmission of light down an optical fiber, and phase transitions in materials. The nature of the system dictates that the relevant and important effects occur along one axial direction. The models formulated in these areas exhibit many other effects, but it is these nonlinear waves that are the raison-dŠetre of the models. The demands on the mathematician for techniques to analyze these models may best be served by developing methods tailored to determining the local behavior of solutions near these structures.

Papers involving all those abovementioned topics are welcome. Moreover, this Special Issue gives an opportunity to researchers and practitioners to communicate their ideas.

Prof. Dr. Vassilis M Rothos
Guest Editor

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 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 1200 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.

Published Papers (1 paper)

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Research

Open AccessArticle
Effects of Nanolayer and Second Order Slip on Unsteady Nanofluid Flow Past a Wedge
Mathematics 2019, 7(11), 1043; https://doi.org/10.3390/math7111043 - 03 Nov 2019
Abstract
This paper presents the study of unsteady nanofluids flow and heat transfer past a wedge with second order velocity slip and temperature jump. The model is modified by considering the existence of a nanolayer together with the effects of thermophoresis and Brownian motion. [...] Read more.
This paper presents the study of unsteady nanofluids flow and heat transfer past a wedge with second order velocity slip and temperature jump. The model is modified by considering the existence of a nanolayer together with the effects of thermophoresis and Brownian motion. The fundamental equations were transformed into ordinary differential equations by a new set of similarity transformations and solved by using the homotopy analysis method (HAM). We determined that the error reached 10−6 and the effectiveness of HAM was attained. The influence of second-order slip on the fluid skin-friction coefficient was analyzed and we determined that the Nusselt number decreases and skin friction coefficient rises with an increase in the thickness of the nanolayer. Full article
(This article belongs to the Special Issue Nonlinear Waves and Applications)
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