About this Research Topic
The study of nonlinear systems with evolution in time has attracted the increasing attention of mathematicians and physicists. Nonlinear evolution systems appear naturally in the modeling of various real-world phenomena and many of these models give rise to challenging mathematical problems which motivate constant development of the theory, which makes this topic of great importance for science as a whole. In this sense, this Research Topic has a main objective to disseminate original, recent and relevant advances that contribute to the development of the abstract theory of time dependent nonlinear systems, as well as spreading studies that, using deterministic and stochastic mathematical models consisting of nonlinear evolution differential equations, can contribute to a better understanding of the real world.
Topics of interest include, but are not limited to, the following list:
• Deterministic and stochastic systems
• Evolution systems in biological flows
• Linear and nonlinear semigroups
• Modern theory of fluid dynamics
• Nonlinear integro-differential systems
• Nonlinear biological systems
• Parabolic and hyperbolic partial differential systems
• Reaction diffusion systems
• Qualitative theory of nonlinear evolution systems
• Bio-physical modeling
• Algorithms in fluids and biology
This Research Topic has been realized in collaboration with Dr. Manoel Jeremias dos Santos, Adjunct Professor III at Federal University of Pará, Brazil.
Keywords: functional differential systems, semigroup methods, fluid dynamics, thermodynamics, integro-differential systems, parabolic systems, hyperbolic systems, reaction diffusion systems, qualitative theory, biological system, topological dynamics
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