New Trends in Nonlinear Waves
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: 31 December 2024 | Viewed by 212
Special Issue Editor
2. Institute of Mathematics and Informatics, Bulgarian Academy of Science, 1113 Sofia, Bulgaria
3. Department of Mathematics, University of Pisa, 56127 Pisa, Italy
Interests: nonlinear dispersive equations; Maxwell and Schrödinger equations; wave equations; oscillatory integrals and micro-local analysis; harmonic analysis
Special Issue Information
Dear Colleagues,
The Special Issue of this scientific journal delves into the forefront of mathematical research, concentrating on nonlinear waves and evolution partial differential equations. Embracing cutting-edge concepts, it specifically spotlights six critical aspects: well-posedness, blow-up phenomena, scattering phenomena, stability/instability, and variational and geometrical approaches to studying PDEs. The intricate behavior of nonlinear waves and their interactions constitutes a fundamental topic worthy of exploration within this Special Issue. Articles may analyze the long-time behavior phenomena, investigating how waves evolve and disperse over time. The quest for stability within evolving systems takes center stage. The Special Issue probes deep into the concepts of stability/instability and scattering, inspecting how solutions of nonlinear wave equations behave over extended periods and different geometric frameworks. This examination not only refines theoretical frameworks but also unveils the stability constraints crucial for real-world applications. Addressing the foundational aspect of well-posedness, the Special Issue explores new formulation and solution behaviors of nonlinear evolution PDEs. Articles aim to establish robust frameworks that ensure the existence, uniqueness, and stability of solutions, providing a critical foundation for advancing mathematical models in diverse domains. Furthermore, variational and geometric approaches to solving nonlinear PDEs have emerged as highly significant, and this Special Issue aims to showcase its efficacy in providing elegant solutions and exploring the behavior of nonlinear systems settled on general ambient spaces.
Dr. Mirko Tarulli
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 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 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
- Scrödinger-type equations
- wave-type equations
- well-posedness
- blow-up
- scattering
- stability
- concentration–compactness
- Hamiltonian systems
- nonlinear PDEs
- geometry
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.
- e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.
Further information on MDPI's Special Issue polices can be found here.
