Stability and Stabilization of 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: 31 December 2025 | Viewed by 42
Special Issue Editors
2. Department of Electrical Engineering, Polytechnique Montréal, P.O. Box 6079, Station Centre-Ville, Montreal, QC H3T 1J4, Canada
Interests: partial differential equations (PDEs); distributed parameter systems; infinite-dimensional systems; nonlinear and robust control; regularity theory of PDEs
Interests: communications networks; control systems; wireless communication systems; robotic control and automation; linear and non-linear systems
Special Issue Information
Dear Colleagues,
Partial differential equations (PDEs) serve as the cornerstone for modeling a myriad of phenomena in physics, engineering, biology, and finance. Among the plethora of PDE-related studies, stability analysis occupies a pivotal position due to its profound implications in understanding the long-term behavior of solutions and designing control strategies. This Special Issue is dedicated to exploring the latest advancements in the stability theory of partial differential equations, with a particular focus on the following topics:
- Stability analysis of nonlinear PDEs: Papers exploring various stability criteria for different classes of nonlinear PDEs are welcome. Both theoretical investigations and applications to real-world problems are encouraged.
- Stabilization problems in linear or nonlinear PDEs: Papers addressing the challenge of designing feedback mechanisms or control laws to stabilize linear or nonlinear PDE systems around equilibrium points or desired trajectories are highly sought after. Contributions may include novel control techniques, numerical simulations, and experimental validations.
- Interdisciplinary applications: We encourage submissions that demonstrate how stability theory can be applied to solve practical problems across diverse disciplines, such as fluid dynamics, electrical engineering, material science, ecological modeling, financial mathematics, etc.
Authors are invited to submit original research articles or review papers that fall within the scope of this Special Issue. Submissions should adhere to the standard formatting guidelines of the journal and emphasize clarity, rigor, and relevance to the theme of PDE stability. All manuscripts will undergo a thorough peer review process to ensure scientific excellence and quality.
We look forward to receiving your valuable contributions and working together to advance our understanding of the stability and stabilization in PDEs.
Dr. Jun Zheng
Prof. Dr. Guchuan Zhu
Guest Editors
Manuscript Submission Information
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Keywords
- partial differential equations (PDEs)
- stability analysis
- nonlinear PDEs
- stabilization problems
- control design
- numerical simulations
- fluid dynamics
- electrical engineering
- material science
- ecological modeling
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