Applied Mathematics: Kolkata, India, February 2014 (Springer Proceedings in Mathematics & Statistics Book 146)

The book is based on research presentations at the international conference, “Emerging Trends in Applied Mathematics: In the Memory of Sir Asutosh Mookerjee, S.N. Bose, M.N. Saha and N.R. Sen”, held at the Department of Applied Mathematics, University of Calcutta, during 12–14 February 2014. It focuses on various emerging and challenging topics in the field of applied mathematics and theoretical physics. The book will be a valuable resource for postgraduate students at higher levels and researchers in applied mathematics and theoretical physics. Researchers presented a wide variety of themes in applied mathematics and theoretical physics—such as emergent periodicity in a field of chaos; Ricci flow equation and Poincare conjecture; Bose–Einstein condensation; geometry of local scale invariance and turbulence; statistical mechanics of human resource allocation: mathematical modelling of job-matching in labour markets; contact problem in elasticity; the Saha equation; computational fluid dynamics with applications in aerospace problems; an introduction to data assimilation, stochastic analysis and bounds on noise for Holling type-II model, graph theoretical invariants of chemical and biological systems; strongly correlated phases and quantum phase transitions of ultra cold bosons; and the mathematical modelling of breast cancer treatment. Front Matter....Pages i-xxxviii Emergent Periodicity in a Field of Chaos....Pages 1-8 The Globalisation of Applied Mathematics....Pages 9-19 The Ricci Flow Equation and Poincaré Conjecture....Pages 21-29 An Introduction to Data Assimilation....Pages 31-42 Bose Einstein Condensation, Geometry of Local Scale Invariance, and Turbulence....Pages 43-54 A Brief Introduction to Quantum Phase Transitions....Pages 55-68 Statistical Mechanics of Human Resource Allocation: A Mathematical Modeling of Job-Matching in Labor Markets....Pages 69-88 What a Student Can Learn from the Saha Equation....Pages 89-96 Computational Fluid Dynamics with Application to Aerospace Problems....Pages 97-113 Contact Problem in Elasticity....Pages 115-124 Stochastic Analysis and Bounds on Noise for a Holling Type-II Model....Pages 125-139 Graph Theoretical Invariants of Chemical and Biological Systems: Development and Applications....Pages 141-148 Mathematical Modeling of Breast Cancer Treatment....Pages 149-160 Effect of Dual Splitter Plate Attached with a Square Cylinder Immersed in a Uniform Flow....Pages 161-170 The Possibility of the Existence of Superluminal Neutrinos: A Theoretical Framework....Pages 171-175 Dependence of Brans–Dicke Parameter on Scalar Field....Pages 177-182 Water-Wave Scattering by a Sphere in a Two-Layer Fluid with an Ice-Cover....Pages 183-191 An Improved Adomian Decomposition Method for Nonlinear ODEs....Pages 193-201 Numerical Algorithm for Computation of Complete Theoretical Seismogram in Layered Half-Space Media....Pages 203-208 Aleatory and Epistemic Uncertainty Quantification....Pages 209-217 Bifurcation Analysis of SIR Model with Logistically Grown Susceptibles and Effect of Loss of Immunity of the Recovered Class....Pages 219-226 SIR Epidemic Modelling in Presence of Inhibitory Effect and Delay....Pages 227-235 Numerical Solutions of Incompressible Viscous Flows in a Double-Lid-Driven Cavity....Pages 237-243 Propagation of SH-Type Wave in Anisotropic Layer Overlying an Anisotropic Viscoelastic Half-Space....Pages 245-250 Global Stability and Chaos-Control in Delayed N-Cellular Neural Network Model....Pages 251-256 Scattering of Water Wave by Undulating Porous Bed Topography in an Ice-Covered Ocean....Pages 257-269 Numerical Simulations of Natural Convection and Entropy Generation in a Square Cavity with an Adiabatic Body....Pages 271-276 On an Interface Elliptic Crack....Pages 277-285 Dynamical Complexity of a Ratio-Dependent Predator-Prey Model with Strong Additive Allee Effect....Pages 287-298 A Simple Theoretical Approach to the Fermi Energy Under Size Quantization with Quantum Mathematical Modelling in Nanostructured Materials....Pages 299-305 Entropy Generation During Mixed Convection in a Porous Double-Lid-Driven Cavity....Pages 307-313 The book is based on research presentations at the international conference, ĺlEmerging Trends in Applied Mathematics: In the Memory of Sir Asutosh Mookerjee, S.N. Bose, M.N. Saha, and N.R. Senĺl, held at the Department of Applied Mathematics, University of Calcutta, during 12ĺl14 February 2014. It focuses on various emerging and challenging topics in the field of applied mathematics and theoretical physics. The book will be a valuable resource for postgraduate students at higher levels and researchers in applied mathematics and theoretical physics. Researchers presented a wide variety of themes in applied mathematics and theoretical physicsĺlsuch as emergent periodicity in a field of chaos; Ricci flow equation and Poincare conjecture; BoseĺlEinstein condensation; geometry of local scale invariance and turbulence; statistical mechanics of human resource allocation: mathematical modelling of job-matching in labour markets; contact problem in elasticity; the Saha equation; computational fluid dynamics with applications in aerospace problems; an introduction to data assimilation, stochastic analysis and ℗lbounds on noise for Holling type-II model, graph theoretical invariants of chemical and biological systems; ℗lstrongly correlated phases and quantum phase transitions of ultracold bosons; and the mathematical modelling of breast cancer treatment