Analysis, Optimization, and Control in Partial Differential Equations

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".

Deadline for manuscript submissions: 30 June 2026 | Viewed by 55

Special Issue Editor

School of Mathematics, Taiyuan University of Technology, Taiyuan, China
Interests: boundary-value problems; control theory and computation; control of partial differential equations; output regulation theory for infinite-dimensional systems; mathematical theory of artificial intelligence

Special Issue Information

Dear Colleagues,

This Special Issue of Mathematics, “Analysis, Optimization, and Control in Partial Differential Equations”, is designed to delve into the multifaceted aspects of partial differential equations (PDEs), focusing on boundary-value problems, control theory and computation, control of PDEs, output regulation theory for infinite-dimensional systems, and the mathematical theory of artificial intelligence.

Partial differential equations serve as the cornerstone for modeling complex systems across various domains, including physics, engineering, biology, and economics. The control and analysis of PDEs are pivotal for understanding and managing dynamic systems, where control theory provides the framework for steering systems towards desired state and optimization enhances system performance.

This Special Issue invites original research articles, theoretical explorations, computational studies, and practical applications that address the challenges and opportunities in the control and analysis of PDEs. We are particularly interested in submissions that explore innovative control strategies, optimization techniques, and analytical methods for PDEs, as well as their applications in artificial intelligence and related fields.

By contributing to this Special Issue, you will join a community of scholars dedicated to advancing the frontiers of mathematical theory and its applications. Your work could provide critical insights that drive progress in the control and optimization of complex systems described by PDEs.

We look forward to your insightful contributions that align with the themes of this Special Issue and contribute to the broader mathematical discourse on these topics.

Dr. Junjun Liu
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

  • boundary-value problems
  • control theory and computation
  • control of partial differential equations
  • output regulation theory for infinite-dimensional systems
  • mathematical theory of artificial intelligence

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.

Published Papers

This special issue is now open for submission.
Back to TopTop