WorldCat Identities

Goncharenko, M. (Mariya)

Works: 2 works in 11 publications in 2 languages and 495 library holdings
Genres: Dictionaries 
Roles: Translator, Author
Publication Timeline
Most widely held works by M Goncharenko
Homogenization of partial differential equations by V. A Marchenko( )

9 editions published between 2006 and 2008 in English and held by 486 WorldCat member libraries worldwide

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text
Valeologicheskiĭ slovarʹ by M Goncharenko( Book )

2 editions published in 1999 in Russian and held by 9 WorldCat member libraries worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.56 (from 0.56 for Homogeniza ... to 0.83 for Valeologic ...)

Homogenization of partial differential equations
Alternative Names
Goncharenko, M. S. (Marii︠a︡ Stepanovna)

Goncharenko, Mariya