I had my Master Degree in Mathematics (Applied Stream) University, Calcutta, India in the year 1995. In Master's my specialization was in Fluid Mechanics, which included viscous flow-boundary layer theory and Dynamical Oceanography. My Research Carrier starts from ’97 August (for the next three years I was a full-time Research fellow of University Grants Commission, India) and whole of my research work was concentrated essentially on classical Fluid Mechanics. In the year 2003 (to be precise on 10/12/2003) I received my PhD degree from JadavpurUniversity, Calcutta on the thesis entitled "RESPONSE OF AN OCEAN OF FINITE DEPTH TO DISTURBANCES GENERATED ON THE SURFACE". 

It is known to us that even in the linear setting the use of Stokes-Navier equation for finding the waves produced in non-viscous deep water was long regarded as difficult and obscure [Lamb 1932, p.-384]. Against this background the problems I tried to solve in my PhD thesis or there after has got very little analytical support from literature and thereby they demand new mathematical techniques to explore. These kind of classical problems in the domain of theoritical Fluid Dynamics, as we know, throw open challenges to every researcher. The classical solution for generation of waves in a finite depth viscous fluid is easy to obtain but the primary difficulties are the evaluation of the multiple integral expressions for the complicated dispersion relation involved in these cases. In first of my two published papers, one in ZAMM and other in JAM, one can easily find these difficulties and how they were tackled in an extensive use of asymptotic analysis and various other subtle mathematical techniques. 

Recently, I tried to solve a problem with a different setting where ocean waves are produced by a time dependent ground upheaval with a prescribed initial elevation and the velocity of the free surface at the instant before the ground begins to move, which is analyzed for a beach of variable slope. This work is a generalization of Tuck & Hwang’s analysis of generation of long waves due to arbitrary ground motion over a uniformly sloping beach. Here we find a particular ‘resonance’ result which may perhaps be eliminated by assuming small viscosity of the fluid or the alongshore variation, I am still working on that. 

There are many other problems which are very interesting in the oceanographic context for which I have tried to provide analytical solutions but failed sometimes due to lack of sufficient mathematical skill/technique or in certain cases due to loosing out patience at the midway. These problems along with others on which I am still working are in fact the motivating force of my day to day life.

Publications:

• Effects of viscosity on linear gravity waves due to surface disturbances in water of finite depth   ZAMM(Wiley-VCH, Berlin), 83, No. - 3, 205-213.
• A study of waves and boundary layers due to surface pressure on a uniform stream of a slightly viscous liquid of finite depth -Journal of Appl. Math. (Hindawi Publishing Corp.) Vol 2006, page. 1-24
• Analytical solution of long waves generated by bottom motion on a beach with variable slope   – International Congress of Mathematicians -2010, section -18. Page 592 - 593
• Long axisymmetrical waves in a viscous ocean around circular island-Advances in Fluid Mechanics VII, WIT Press, 2008, Page 467-476 UK.
• A brief note on the approximation of the wave – integral for small motion in a slightly viscous ocean of finite depth due to initial surface disturbances.-To be Submitted.
• Transmission of energy by periodic ground motion on a beach. – To be submitted.