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Modern Problems in Applied Analysis: Trends in Mathematics

Editat de Piotr Drygaś, Sergei Rogosin
en Limba Engleză Hardback – 22 mar 2018
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.
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Specificații

ISBN-13: 9783319726397
ISBN-10: 3319726390
Pagini: 146
Ilustrații: X, 214 p. 29 illus., 10 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.49 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Trends in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Includes a variety of applications Explains techniques used to find solutions Collects papers from specialists in the field