Multiple-Scale Analysis of Boundary-Value Problems in Thick Multi-Level Junctions of Type 3:2:2

• Main Authors: Mel'nyk, Taras (Author, http://id.loc.gov/vocabulary/relators/aut), Sadovyi, Dmytro (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Mathematics,
• Subjects: Partial differential equations.; Mathematical models.; Mathematical physics.; Approximation theory.; Partial Differential Equations.; Mathematical Modeling and Industrial Mathematics.; Mathematical Applications in the Physical Sciences.; Approximations and Expansions.

This book presents asymptotic methods for boundary-value problems (linear and semilinear, elliptic and parabolic) in so-called thick multi-level junctions. These complicated structures appear in a large variety of applications. A concise and readable introduction to the topic, the book provides a fu...

Table of Contents:

• 1 Introduction
• 2 Homogenization of Linear Elliptic Problems
• 3 Homogenization of Elliptic Problems in Thick Junctions with Sharp Edges
• 4 Homogenization of Semilinear Parabolic Problems
• 5 Asymptotic Approximations for Solutions to Semilinear Problems
• References.