Symmetries in Evolution Equations and Applications
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (30 April 2023) | Viewed by 7019
Special Issue Editors
Interests: difference equations; flow invariance; nonlinear regularity theory; ordinary differential equations; partial differential equations; reduction methods; symmetry operators; weak symmetries
Special Issues, Collections and Topics in MDPI journals
Interests: fixed point theory; nonlinear analysis; differential equations
Interests: fixed point
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear colleagues,
Equations focusing on time-dependent systems play a relevant role in understanding and modelling various physical phenomena. In particular, we mention problems of heat transport and laser propagation in inhomogeneous media. The potential topics range from abstract theories to concrete applications. We aim to deeply discuss the qualitative behavior of the equations. The existence and absence of local and global solutions, the asymptotic analysis of solutions, and the occurrence of blow ups are some of the crucial questions to deal with. Symmetry methods of evolution equations play a crucial role in this investigation: conditions constraining the equation on its Lie and (contact-)point symmetries help in the classification of evolution equations possessing nonlocal symmetries; potential symmetries establishing the equivalence between two different evolution equations originate methods for obtaining new from already known solutions; and algebraic structures of symmetries are useful in studying physical systems and developing admissible transformations among them.
This Special Issue aims to collect original and significant contributions dealing with both the theory and applications of evolution equations and their systems. This Special Issue also seeks to serve as a platform for the exchange of ideas between scientists of different disciplines interested in evolution equations and their applications.
Dr. Calogero Vetro
Prof. Dr. Dariusz Wardowski
Prof. Dr. Bessem Samet
Guest Editors
Manuscript Submission Information
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Keywords
- complex symmetry
- critical exponents
- Lie symmetries
- local and global solutions
- reduction methods
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