Overview

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.

Full Product Details

Author:   Piotr Drygaś ,  Sergei Rogosin
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2018
Weight:   4.616kg
ISBN:  

9783319726397

ISBN 10:   3319726390
Pages:   214
Publication Date:   22 March 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

"Preface.- 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'sequation in anarbitrary 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 Brinkman's porous bottom: interfacial boundary value problem.- Positive solutions for a nonlocal resonant problem of first order."

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