Evolution Systems in Kinetic Theory
نویسندگان
چکیده
In this article we cast the unique solvability of a class of nonautonomous kinetic equations in terms of evolution systems, generalizing semigroup results pertaining to the corresponding autonomous kinetic equations. AMS Subject Classification: 47N55, 82C70
منابع مشابه
Genre Shift and Identity Maintenance – An Analysis of Iranian War Film Genres (1980-2013) with Niklas Luhmann’s Social Systems Theory
A close observation of Iran-Iraq war films in the Iranian society reveals that their genres have shifted in the course of the society’s evolution. This questions the category-based principles of genre we have known so far in literature concerning film theory and necessitates a new conceptualization of genre, which can be realized with the aid of Niklas Luhmann’s social systems theory. This theo...
متن کاملIntroduction to Schramm-Loewner evolution and its application to critical systems
In this short review we look at recent advances in Schramm-Loewner Evolution (SLE) theory and its application to critical phenomena. The application of SLE goes beyond critical systems to other time dependent, scale invariant phenomena such as turbulence, sand-piles and watersheds. Through the use of SLE, the evolution of conformally invariant paths on the complex plane can be followed; hence a...
متن کاملOn Kinetic Equations for Collisional Dynamics of Active Soft Condensed Matter
We consider a new approach to the description of the collective behavior of complex systems of mathematical biology based on the evolution equations for observables of such systems. This representation of the kinetic evolution seems, in fact, the direct mathematically fully consistent formulation modeling the collective behavior of biological systems since the traditional notion of the state in...
متن کاملTexture Evolution in Low Carbon Steel Fabricated by Multi-directional Forging of the Martensite Starting Structuree
It has been clarified that deformation and annealing of martensite starting structure can produce ultrafine-grained structure in low carbon steel. This study aims to investigate the texture evolution and mechanical properties of samples with martensite structure deformed by two different forging processes. The martensitic steel samples were forged by plane strain compression and multi-directio...
متن کاملKinetic equations
Kinetic theory is a way of describing the time evolution of a system consisting of a large number of elementary objects which may be called particles. The mathematical study of such systems leads to a class of partial differential equations called kinetic equations. Equations of this type have many applications in physics and other sciences. The ’particles’ could for instance be electrons, star...
متن کامل