Modern Problems in Applied Analysis

Piotr Drygaś, Sergei Rogosin

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English

Springer Nature Switzerland AG
26 January 2019

Complex analysis, complex variables; Functional analysis & transforms; Differential calculus & equations; Integral calculus & equations

Series: Trends in Mathematics

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.

Edited by: Piotr Drygaś, Sergei Rogosin
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: Softcover reprint of the original 1st ed. 2018
Dimensions: Height: 235mm, Width: 155mm, Spine: 12mm
Weight: 454g
ISBN: 9783030102425
ISBN 10: 3030102424
Series: Trends in Mathematics
Pages: 214
Publication Date: 26 January 2019
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.