The Resource Modern problems in applied analysis, Piotr Drygaś, Sergei Rogosin, editors
Modern problems in applied analysis, Piotr Drygaś, Sergei Rogosin, editors
Resource Information
The item Modern problems in applied analysis, Piotr Drygaś, Sergei Rogosin, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Modern problems in applied analysis, Piotr Drygaś, Sergei Rogosin, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 "This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference zBoundary Value Problems, Functional Equations and Applicationsy (BAF3), held in Rzeszow, Poland on 2023 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, HeleShaw 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 realworld problems."
 Language
 eng
 Extent
 1 online resource.
 Contents

 Intro; Preface; Contents; Boundary Value Problems for the Singular p and p(x)Laplacian Equations in a Cone; 1 Boundary Value Problems with Constant Nonlinearity Exponent; 1.1 The Dirichlet Problem; 1.2 The Robin Problem; 2 The Dirichlet Problem with Variable Nonlinearity Exponent; References; Exact and È̀xact'' Formulae in the Theory of Composites; 1 Introduction; 2 Approximate and Exact Constructive Formulae in the Theory of Composites; 2.1 Method of Rayleigh; 2.2 Method of NatanzonFilshtinsky; 2.3 Method of Functional Equations: Exact Solutions; 3 È̀xact Solutions''; 4 Conclusion
 Viscoelastic Behavior of Periodontal Ligament: Stresses Relaxation at Translational Displacement of a Tooth Root1 Introduction; 2 Viscoelastic Model of the PDL; 2.1 Evolution of Stresses in the PDL; 2.2 Effect of Poisson's Ratio on the Normal Component of Stresses; 3 Conclusions; References; Dirichlet Type Problems in Polydomains; 1 Introduction; 2 Preliminaries; 3 Riquier Problem in Higher Dimension; 4 Riquier Problems for Higher Order Polyharmonic Equations in a Polydisc; 4.1 The Properties of Integral Operators Related to G̃D2,n
 5 Riquier Problem for Generalized Higher Order Equations in D2References; A Microscopic Model of Redistribution of Individuals Inside an Èlevator'; 1 Introduction; 2 General Framework: Microscopic Level; 3 Mesoscopic Level; 4 Model of Redistribution Inside an Èlevator'; 5 Qualitative Analysis; 6 Conclusions; References; New Approach to Mathematical Model of Elastic in TwoDimensional Composites; 1 Introduction; 2 Geometry and Functional Spaces; 3 Statement of the Elastic Problem; 4 FunctionalDifferential Equations; 5 Local Problem; 6 Doubly Periodic Problem; 7 Effective Formula; References
 Statistical Characteristics of the Distraction Parameters in the Unbounded Anisotropic Plane Weakened by Multiple Random Cracks1 Introduction; 2 Problem Statement; 3 Analytical Formalism; 4 Asymptotes at the Ends of Cracks and Characteristics of Distraction; 5 Results and Conclusion; References; Perturbative Expansions and Critical Phenomena in Random Structured Media; 1 2D Conductivity: Dependence on Contrast Parameter; 2 3D Elasticity, or HighFrequency Viscosity: Critical Index; 3 Spontaneous Ordering in Suspensions of Active Particles; 3.1 Model 0: Stationary States with Additive Noise
 Isbn
 9783319726403
 Label
 Modern problems in applied analysis
 Title
 Modern problems in applied analysis
 Statement of responsibility
 Piotr Drygaś, Sergei Rogosin, editors
 Language
 eng
 Summary
 "This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference zBoundary Value Problems, Functional Equations and Applicationsy (BAF3), held in Rzeszow, Poland on 2023 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, HeleShaw 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 realworld problems."
 Assigning source
 Provided by publisher
 Cataloging source
 N$T
 Dewey number
 515
 Index
 no index present
 LC call number
 QA300
 Literary form
 non fiction
 http://bibfra.me/vocab/lite/meetingDate
 2016
 http://bibfra.me/vocab/lite/meetingName
 International Workshop "Boundary Value Problems, Functional Equations and Applications"
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Drygaś, Piotr
 Rogosin, Sergei V.
 Series statement
 Trends in Mathematics
 http://library.link/vocab/subjectName
 Mathematical analysis
 Label
 Modern problems in applied analysis, Piotr Drygaś, Sergei Rogosin, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Intro; Preface; Contents; Boundary Value Problems for the Singular p and p(x)Laplacian Equations in a Cone; 1 Boundary Value Problems with Constant Nonlinearity Exponent; 1.1 The Dirichlet Problem; 1.2 The Robin Problem; 2 The Dirichlet Problem with Variable Nonlinearity Exponent; References; Exact and È̀xact'' Formulae in the Theory of Composites; 1 Introduction; 2 Approximate and Exact Constructive Formulae in the Theory of Composites; 2.1 Method of Rayleigh; 2.2 Method of NatanzonFilshtinsky; 2.3 Method of Functional Equations: Exact Solutions; 3 È̀xact Solutions''; 4 Conclusion
 Viscoelastic Behavior of Periodontal Ligament: Stresses Relaxation at Translational Displacement of a Tooth Root1 Introduction; 2 Viscoelastic Model of the PDL; 2.1 Evolution of Stresses in the PDL; 2.2 Effect of Poisson's Ratio on the Normal Component of Stresses; 3 Conclusions; References; Dirichlet Type Problems in Polydomains; 1 Introduction; 2 Preliminaries; 3 Riquier Problem in Higher Dimension; 4 Riquier Problems for Higher Order Polyharmonic Equations in a Polydisc; 4.1 The Properties of Integral Operators Related to G̃D2,n
 5 Riquier Problem for Generalized Higher Order Equations in D2References; A Microscopic Model of Redistribution of Individuals Inside an Èlevator'; 1 Introduction; 2 General Framework: Microscopic Level; 3 Mesoscopic Level; 4 Model of Redistribution Inside an Èlevator'; 5 Qualitative Analysis; 6 Conclusions; References; New Approach to Mathematical Model of Elastic in TwoDimensional Composites; 1 Introduction; 2 Geometry and Functional Spaces; 3 Statement of the Elastic Problem; 4 FunctionalDifferential Equations; 5 Local Problem; 6 Doubly Periodic Problem; 7 Effective Formula; References
 Statistical Characteristics of the Distraction Parameters in the Unbounded Anisotropic Plane Weakened by Multiple Random Cracks1 Introduction; 2 Problem Statement; 3 Analytical Formalism; 4 Asymptotes at the Ends of Cracks and Characteristics of Distraction; 5 Results and Conclusion; References; Perturbative Expansions and Critical Phenomena in Random Structured Media; 1 2D Conductivity: Dependence on Contrast Parameter; 2 3D Elasticity, or HighFrequency Viscosity: Critical Index; 3 Spontaneous Ordering in Suspensions of Active Particles; 3.1 Model 0: Stationary States with Additive Noise
 Control code
 SPR1029352545
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319726403
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 on1029352545
 (OCoLC)1029352545
 Label
 Modern problems in applied analysis, Piotr Drygaś, Sergei Rogosin, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Intro; Preface; Contents; Boundary Value Problems for the Singular p and p(x)Laplacian Equations in a Cone; 1 Boundary Value Problems with Constant Nonlinearity Exponent; 1.1 The Dirichlet Problem; 1.2 The Robin Problem; 2 The Dirichlet Problem with Variable Nonlinearity Exponent; References; Exact and È̀xact'' Formulae in the Theory of Composites; 1 Introduction; 2 Approximate and Exact Constructive Formulae in the Theory of Composites; 2.1 Method of Rayleigh; 2.2 Method of NatanzonFilshtinsky; 2.3 Method of Functional Equations: Exact Solutions; 3 È̀xact Solutions''; 4 Conclusion
 Viscoelastic Behavior of Periodontal Ligament: Stresses Relaxation at Translational Displacement of a Tooth Root1 Introduction; 2 Viscoelastic Model of the PDL; 2.1 Evolution of Stresses in the PDL; 2.2 Effect of Poisson's Ratio on the Normal Component of Stresses; 3 Conclusions; References; Dirichlet Type Problems in Polydomains; 1 Introduction; 2 Preliminaries; 3 Riquier Problem in Higher Dimension; 4 Riquier Problems for Higher Order Polyharmonic Equations in a Polydisc; 4.1 The Properties of Integral Operators Related to G̃D2,n
 5 Riquier Problem for Generalized Higher Order Equations in D2References; A Microscopic Model of Redistribution of Individuals Inside an Èlevator'; 1 Introduction; 2 General Framework: Microscopic Level; 3 Mesoscopic Level; 4 Model of Redistribution Inside an Èlevator'; 5 Qualitative Analysis; 6 Conclusions; References; New Approach to Mathematical Model of Elastic in TwoDimensional Composites; 1 Introduction; 2 Geometry and Functional Spaces; 3 Statement of the Elastic Problem; 4 FunctionalDifferential Equations; 5 Local Problem; 6 Doubly Periodic Problem; 7 Effective Formula; References
 Statistical Characteristics of the Distraction Parameters in the Unbounded Anisotropic Plane Weakened by Multiple Random Cracks1 Introduction; 2 Problem Statement; 3 Analytical Formalism; 4 Asymptotes at the Ends of Cracks and Characteristics of Distraction; 5 Results and Conclusion; References; Perturbative Expansions and Critical Phenomena in Random Structured Media; 1 2D Conductivity: Dependence on Contrast Parameter; 2 3D Elasticity, or HighFrequency Viscosity: Critical Index; 3 Spontaneous Ordering in Suspensions of Active Particles; 3.1 Model 0: Stationary States with Additive Noise
 Control code
 SPR1029352545
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319726403
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 on1029352545
 (OCoLC)1029352545
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/ModernproblemsinappliedanalysisPiotr/OeiVoCyHQuE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/ModernproblemsinappliedanalysisPiotr/OeiVoCyHQuE/">Modern problems in applied analysis, Piotr Drygaś, Sergei Rogosin, editors</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>