Applied Mathematics

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.

1. Statistical mechanics of human resource allocation: A mathematical modeling of job-matching in labor markets. - 2. The Globalisation of Applied Mathematics. - 3. Emergent Periodicity in a Field of Chaos. - 4. Numerical algorithm for computation of complete theoretical seismogram in layered half-space media. - 5. Effect of Dual Splitter Plate attached with a Square Cylinder immersed in a Uniform Flow. - 6. The possibility of the existence of superluminal neutrinos: A theoretical framework. - 7. What a student can learn from the Saha Equation. - 8. Stochastic Analysis and Bounds on Noise for a Holling Type-II Model. - 9. An Improved Adomian Decomposition Method for nonlinear ODEs. - 10. Propagation of SH-Type Wave in Anisotropic Layer Overlying an Anisotropic Viscoelastic Half-Space- 11. A Simple Theoretical approach to the Fermi energy under size quantization with Quantum Mathematical Modelling in Nanostructured materials. - 12. Dependence of Brans-Dicke parameter on scalar field. - 13. Numerical Simulations of Natural Convection and Entropy Generation in a Square Cavity with an Adiabatic Body. - 14. Dynamical complexity of a ratio dependent predator prey model with strong additive Allee effect. - 15. On An Interface Elliptic Crack.