Drygaś P., Rogosin S. (Eds.) Modern Problems in Applied Analysis

Springer International Publishing AG, 2018. — 204 p. — (Trends in Mathematics). — ISBN: 3319726390.This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016.
The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows).
The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.Boundary Value Problems for the Singular p- and p.x/-Laplacian Equations in a Cone
Exact and “Exact” Formulae in the Theory of Composites
On a Hypercomplex Version of the Kelvin Solution in Linear Elasticity
Viscoelastic Behavior of Periodontal Ligament: Stresses Relaxation at Translational Displacement of a Tooth Root
Dirichlet Type Problems in Polydomains
A Microscopic Model of Redistribution of Individuals Inside an ‘Elevator’
New Approach to Mathematical Model of Elastic in Two-Dimensional Composites
Statistical Characteristics of the Distraction Parameters in the Unbounded Anisotropic Plane Weakened by Multiple Random Cracks
Perturbative Expansions and Critical Phenomena in Random Structured Media
Mixed Problem for Laplace’s Equation in an Arbitrary Circular Multiply Connected Domain
A Boundary Integral Method for the General Conjugation Problem in Multiply Connected Circle Domains
Pseudo-Differential Operators on Manifolds with a Singular Boundary
Gravity Driven Flow Past the Bottom with SmallWaviness
Positive Solutions for a Nonlocal Resonant Problem of First Order