Non-Asymptotic Theory of Waves in Excitable Media Across Nature and Technology
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"Non-Asymptotic Theory of Waves in Excitable Media Across Nature and Technology discusses the occurrence of various types of waves in chemical, physical, and biological processes. These waves involve mass movements in space and are described using mathematical models. The narrow reaction zone method, proposed by Zel'dovich, is one such model used to describe combustion waves. However, observations indicate that the chemical reaction zone is not always negligible. Isothermal waves, such as those observed in Belousov-Zhabotinsky reactions, also have finite-length reaction zones. New mathematical...
"Non-Asymptotic Theory of Waves in Excitable Media Across Nature and Technology discusses the occurrence of various types of waves in chemical, physical, and biological processes. These waves involve mass movements in space and are described using mathematical models. The narrow reaction zone method, proposed by Zel'dovich, is one such model used to describe combustion waves. However, observations indicate that the chemical reaction zone is not always negligible. Isothermal waves, such as those observed in Belousov-Zhabotinsky reactions, also have finite-length reaction zones. New mathematical methods are needed to study waves in excitable media, considering the full extent of kinetic processes. The book also discusses waves in biological populations and the limitations of asymptotic methods in analyzing them. Non-asymptotic methods have been developed to study waves in various excitable media, such as radical polymerization waves and waves of biological populations. Complex waves, like solid-flame combustion and natural fires, involve multiple kinetic processes and require specific models. The book also discusses the propagation of waves in excitable media related to gas dynamics, such as detonation waves. Various mathematical models and methods have been developed to analyze these waves and their characteristics"--
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