Applied Harmonic Analysis and Modern Methods in Partial Differential Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".
Deadline for manuscript submissions: 1 July 2026 | Viewed by 12
Special Issue Editor
2. Department of Physics & Physical Oceanography, University of North Carolina Wilmington, Wilmington, NC 28403-5970, USA
Interests: nonlinear wave equations; soliton perturbation theory; fluid dynamics; relativity; Fourier analysis; Laplace transforms; asymptotics; mathematical physics; chaos and dynamical systems; history of mathematics
Special Issue Information
Dear Colleagues,
This special issue aims to showcase the rich interplay between harmonic analysis, nonlinear wave theory, and computational methods in the study of PDEs. We particularly encourage contributions that bridge rigorous analysis with applications in mathematical physics, fluid dynamics, signal processing, and related disciplines. Topics of interest include, but are not limited to
- Soliton theory and the inverse scattering transform;
- Nonlinear dispersive and wave equations;
- Fractional and nonlocal PDEs;
- Harmonic analysis techniques in PDEs and numerical algorithms;
- Spectral and pseudo-spectral methods for nonlinear systems;
- Stability, asymptotics, and conservation laws in nonlinear evolution equations;
- Applications to optics, fluid mechanics, and quantum systems.
Prof. Dr. Russell L. Herman
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 submissions that pass pre-check are 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 250 words) can be sent to the Editorial Office for assessment.
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 2600 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.
Keywords
- integral transforms
- pseudo-spectral methods
- evolution equations
- nonlinear systems
- solitons
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
