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 1214 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 physicssuch as emergent periodicity in a field of chaos; Ricci flow equation and Poincare conjecture; BoseEinstein 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.

Demonstrates a diversity of emerging topics in applied mathematics including solid and fluid mechanics, computational mathematics, bio-mathematics, econophysics and theoretical physics Introduces challenging problems and basic methods used in recent developments in the field of applied mathematics and theoretical physics Presents an essay on life and contributions of Sir Asutosh Mookerjee, S.N. Bose, M.N. Saha and N.R. Senmathematical legends of the time Includes supplementary material: sn.pub/extras

Autorentext

Susmita Sarkar is professor at the Department of Applied Mathematics, University of Calcutta. Earlier, she served as a faculty member at postgraduate mathematics departments at Vidyasagar University, Burdwan University and Jadavpur University in West Bengal. An active researcher since 1987, Dr. Sarkar's major field of research is plasma dynamics. She has 39 research publications to her credit published in several international journals of repute. Currently, she is working on a project on fractional calculus funded by the Department of Atomic Energy, Government of India. A national scholar and CSIR-NET qualified, Dr. Sarkar has received Jnanendra Bhusan Memorial Book Prize in 1983, for securing the highest marks in mathematics honours from the Presidency College. She received the INSA's visiting fellowship and was awarded the Associateship of the Third World Academy of Sciences and Regular Associateship of Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. Dr. Sarkar has organized various academic activities including International and national seminars, workshops, refresher courses, lecture courses at the applied mathematics department and invited internationally reputed resource persons for these activities. Under her initiative, the Department of Applied Mathematics, University of Calcutta, published the book Glimpsing Through One Hundred Years of Applied Mathematics Department at the 150th birth anniversary of Sir Asutosh Mookerjee.

Uma Basu, former professor at the Department of Applied Mathematics, University of Calcutta. Professor Basu, after completing her PhD from the University of Calcutta, did her post-doctoral work at the University of Central Florida, U.S.A. She was awarded the UGC Career Award in 1994 and engaged in a number of research projects funded by UGC, CSIR and the Department of Atomic Energy (DAE). She organized three Department of Science & Technology (DST) sponsored workshops ontechniques in Applied Mathematics and edited two books containing some lectures delivered at the workshop by experts from various institutions (published by Narosa). Professor Basu was elected as fellow of National Academy of Sciences, India, in 2004. She is life member of many learned societies such as Calcutta Mathematical Society, Indian Statistical Institute, Asiatic Society, Ramanujan Mathematical Society, Indian Society of Theoretical and Applied Mechanics and many others. She acted as the secretary, treasurer and council member for many years at the Calcutta Mathematical Society. She visited several international institutes and participated in international conferences and seminars. Areas of her research work are Fluid Mechanics, Water Waves, Thermo-Elasticity and Mathematical Techniques in Applied Mathematics. Now, she is engaged in a research project sponsored by BRNS (DAE) at the Department of Applied Mathematics, University of Calcutta.

Soumen De is assistant professor at the Department of Applied Mathematics, University of Calcutta. Dr. De, a PhD from Indian Statistical Institute, Kolkata, has research interests in water waves theory and integral equations. He has 15 research publications to his credit published in several international journals of repute. He is the coauthor of the book Water Wave Scattering (published by CRC Press).

Inhalt

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 ratiodependent predatorprey model with strong additive Allee effect.- 15. On An Interface Elliptic Crack.