Analytic in methods interdisciplinary applications. (2015)

• Record Type: Book
• Further Information: Note: Vladimir V. Mityushev, Michael Ruzhansky, editors ; contributors, Omer H. Abdelrahman [and fourteen others].
• Editors: Mityushev, Vladimir V; Ruzhansky, M (Michael)
• Other Names: Abdelrahman, Omer H contributor.
• Contents: Preface; Contents; Contributors; Search in Big Networks and Big Data; 1 Introduction; 1.1 Contents of the Chapter; 2 Modelling the Search Process; 2.1 Computing the Average Search Time and Energy for k=1; 3 Time-Dependent Analysis for k1; 3.1 Energy Consumption; 4 Search in a Non-homogeneous Medium; 4.1 A Phase Transition Effect; 5 Future Work; References; Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality; 1 Introduction; 2 The Hardy-Littlewood-Sobolev Theorem and Varopoulos Dimension; 2.1 The (n, p) -- ultracontractivity Assumption. 3.1 Diffusion Approximation of Single G/G/1, G/G/1/N Queues3.2 Open Network of G/G/1, G/G/1/N Queues, Steady State and Transient Solution; 3.3 G/G/c/c and G/G/c/c/H Stations; 3.4 Diffusion Approximation of Preemptive -- Resume Priority System; 4 Fluid-Flow Approximation; 4.1 Comparison of Fluid Flow Approximation and Diffusion Approximation ; 5 Conclusions; References; Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems; 1 Introduction; 2 Model of Kirchhoff Systems; 3 Known Results and Open Problems with Large Data; 4 Kirchhoff Equation with Small Data. 5 Kirchhoff Systems with Small Data6 Outline of Proof of Theorem4; References; Brain Atlasing: Design Principles, Methods, Tools and Applications; 1 Introduction; 2 Methods; 2.1 Design Principles; 2.2 Brain Atlas Definition and Characterization; 2.3 Techniques; 2.4 Tools; 2.5 Functionality; 3 Results and Applications; 4 Discussion; References; Method of Asymptotic Partial Domain Decomposition for Non-steady Problems: Wave Equation on a Thin Structure; 1 Introduction; 2 Graphs ; 3 Rod Structures ; 4 Formulation of the Wave Equation in a Rod Structure; 5 Construction of an Asymptotic Expansion. 6 Asymptotic Partial Decomposition of the Domain for the Wave EquationReferences; The First Student of Andrei Nikolaevich Kolmogorov; References; Mechanical-Mathematical Modelling of Biological Tissue Behaviour; 1 Introduction; 2 Technologies and Approaches for Mechanical Properties Estimation; 3 Mechanics and Mathematical Models for Deformation Properties Determination; 4 Model Problem of Elastic Layer Deformation at Impulse Load; 5 Some Applications of Fundamental Solutions; 6 AFM-Experimental Results of the Elastic Properties Estimation; References.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (189 pages), illustrations
• Subjects: 515; Mathematics; Mathematical analysis; Mathematical analysis; Mathematics -- Functional Analysis; Mathematics -- Applied; Functional analysis & transforms; Mathematical modelling; Differential equations, partial; Functional analysis; Mathematics -- Differential Equations; Differential calculus & equations; Electronic books
• Languages: English
• ISBNs: 9783319121482; 3319121480
• Related ISBNs: 9783319121475
• Notes: Note: Includes bibliographical references at the end of each chapters.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.