Mathematical Models And Methods Of Localized Interaction Theory: 25 (Series on Advances in Mathematics for Applied Sciences) - Hardcover

Book 22 of 80: Advances in Mathematics for Applied Sciences

Bunimovich, Abram I; Dubinskii, Anatolii V

 
9789810217433: Mathematical Models And Methods Of Localized Interaction Theory: 25 (Series on Advances in Mathematics for Applied Sciences)

Synopsis

The interaction of the environment with a moving body is called “localized” if it has been found or assumed that the force or/and thermal influence of the environment on each body surface point is independent and can be determined by the local geometrical and kinematical characteristics of this point as well as by the parameters of the environment and body―environment interactions which are the same for the whole surface of contact.Such models are widespread in aerodynamics and gas dynamics, covering supersonic and hypersonic flows, and rarefied gas flows. They describe the influence of light on a body, and are used for modelling penetration of solids into metals and soils, etc.Localized Interaction Theory (LIT) studies various theoretical and applied problems using the most general description of the influence of the environment on the body. This makes it possible to integrate results obtained from different models and to create new universal methods that can be used for various conditions, even if the description of the real interaction model is unknown. Such a unified approach to the problems of analysis, calculation and optimization of the integral characteristics of bodies moving in different media is the main content of this book which is the first monograph on this subject. Many applications, chiefly in aerodynamics and space engineering are presented.

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Synopsis

The Localized Interaction Theory (LIT) embraces various physical models of the influence of the environment on the moving body, which are grouped by the justice of the postulate that the influence of the environment on each body point is independent. By the end of the 1960s, the LIT has become a specific branch of physics and mechanics, and this development is characterized both by integrating results obtained for different models and by appearance of universal methods that can be applied to many models. This monograph discusses the LIT using the above approaches.

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