Mathematical and Numerical Analysis of Nonlinear Evolution Equations: Advances and Perspectives, 2nd Edition
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 20 February 2025 | Viewed by 20
Special Issue Editor
Interests: mathematical modeling and analysis of complex systems; kinetic equations; numerical methods for PDE
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Recently, interactions between researchers working in the fields of mathematical physics and applied sciences have gained much attention, and new challenges have been raised, including the possibility of deriving evolution differential equations that are able to describe most phenomena arising in real-world systems. On one hand, mathematical analysis allows us to obtain information regarding the qualitative behaviors of the system including the existence of solutions, asymptotic behaviors, and nonlinear dynamics. On the other hand, numerical and computational analysis furnishes methods to obtain quantitative information about solutions and the possibility of comparing the time evolution of solutions to differential equations with empirical data.
This Special Issue is devoted to researchers working in the fields of pure and applied mathematical physics, specifically to researchers who are involved in the mathematical and numerical analysis of nonlinear evolution equations and their applications. Original research articles and review articles are welcome.
The topics include, but are not limited to, the following:
- Prey–predator models;
- Kinetic-type models;
- Multiscale models;
- Computational models;
- Fractional models;
- Asymptotic analysis and methods;
- Approximative methods;
- Bifurcation analysis;
- Chaos and synchronization analysis;
- Nonlinear dynamics;
- Complex dynamics;
- Far-from-equilibrium dynamics;
- Blow-up of solutions;
- Fractional calculus.
Prof. Dr. Carlo Bianca
Guest Editor
Manuscript Submission Information
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