Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2
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Including end-of-chapter conclusions discussing the results and their physical interpretations, this book will be of interest to researchers and graduate students in asymptotic analysis and applied mathematics as well as to physicists, chemists and engineers interested in processes such as heat and mass transfer.
Includes a full literature review on the homogenization of various boundary-value problems, spectral problems, variational inequalities, optimal control problems in thick junctions
Provides a complete and unified presentation of the topic and recent results of the authors
Presents approximation techniques for solutions to semilinear elliptic and parabolic problems with various alternating nonlinear Robin boundary conditions
Dmytro Yu. Sadovyi is a postdoctoral researcher at Taras Shevchenko National University of Kyiv, where he obtained his PhD in 2014. His current research interests lie in homogenization of boundary-value problems in thick multi-level junctions.
"The book is well organized and each chapter contains a conclusion with comments and physical interpretation and can be useful to researchers and graduate students interested in asymptotic analysis and applied mathematics." (Paolo Musolino, zbMATH 1443.35004, 2020)