Advances in Partial Differential Equations: Methods and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: 10 April 2025 | Viewed by 761
Special Issue Editors
Interests: finite and infinite dimensional dynamical systems; traveling waves in reaction diffusion systems
Interests: nonlinear elliptic and parabolic differential equations; with their applications in physics, biology, and medicine
Special Issue Information
Dear Colleagues,
During the last few decades, partial differential equations have achieved many fascinating results in theory as well as in real world applications. In this Special Issue, we aim to provide a platform for mathematicians to exchange and demonstrate the newest ideas, theories and applications in this research field.
The topics of papers of this Special Issue include the following: the existence and uniqueness and bifurcations of solutions of partial differential equations and systems, the stability of solutions of reaction diffusion equations and systems; singular perturbation as well as geometric singular perturbation methods in differential equations and their applications; periodic solutions as well as turing instability for steady states and periodic solutions; traveling waves, trains, pulses in reaction diffusion systems and hyperbolic systems as well as their bifurcations and stabilities; applications in biology, ecology, cell biology and medical fields, including modeling, analysis of models and numerical analysis of model systems.
Prof. Dr. Xiaojie Hou
Prof. Dr. Yi Li
Prof. Dr. Shuangjie Peng
Guest Editors
Manuscript Submission Information
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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
- existence
- uniqueness
- stability
- bifurcation
- singular perturbation
- pattern
