Supervision/Mentoring Carried out till now:
Post Doctoral Fellow
Dr. Alka Chadda (PhD from IIT Roorkee), May 2016September 2017
Dr. Vidushi (PhD from IIT Roorkee), May 2017
Doctoral Student
Sl No  Name  Thesis Title  Period  Status/Update 
1  Dr. Subash Chandra Martha Associate Professor and Head, Department of Mathematics Indian Institute of Technology Ropar, Punjab, India 
Reflection and Transmission of Surface Water Waves by Undulating Bottom Topography  July 2002May 2007  Thesis defended: May 15, 2007 
2  Dr. Smrutiranjan
Mohapatra Assistant Professor, Veer Surendra Sai University of Technology, Burla, Odisha, India 
Water Wave Scattering by a Spherical Structure and an Undulating Bottom Topography in a Twolayer Fluid  July 2005Oct 2009  Thesis defended: Oct 26, 2009 
3  Dr. Santu Das Assistant Profssor, SRM University, Amaravati Camous, Andhra Pradesh, India 
Linear Water Wave Damping by a Bottommounted Porous Structure and by Vertical Dual Porous Plates 
July 2009Sept 2014 
Thesis defended: September 19, 2014 
4  Dr.
Mohammad
Hassan Assistant Professor, North East Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh, India 
Diffraction and
Radiation of Water Waves by Two Coaxial Vertical Cylinders

July 2009Sept 2014

Thesis defended: September 22, 2014 
5  Dr. (Ms.) Sunanda Saha Assistant Professor Dayanand Sagar University, Bangalore, Karnataka, India

Study of Trapped Modes in Two and Threelayer Fluids  July 2010Oct 2014 
Thesis defended: October 20, 2014 
6  Dr. (Ms.) Neelam Choudhary Assistant Professor Bennett University Greater NOIDA, Uttar Pradesh, India 
Linear Sloshing in Vertical Circular Cylindrical Containers with Different Configurations under the Influence of Surface Tension  July 2010Nov 2015  Thesis defended: November 30, 2015 
7  Mr. Jayanta Borah (QIP) Assistant Professor, North East Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh, India 
Study on Some Classes of Fractional Differential Equations and Differential Inclusions  July 2012  Annual Progress Seminar presented: January 5, 2017 
8  Abhijit Sarkar  Dirraction and Radiation of water Waves by a Vertical Composite Porous Cylinder  Jan 2016  StateoftheArtSeminar presented: September 14, 2017 
9  Bandita Roy  Study of Certain Classes of Fractional Differential Equations using Hilfer Derivatives  Jan 2016  StateoftheArtSeminar presented: September 15, 2017 
10  Ayan Chanda  Twolayer Fluid Flow over Porous Bottoms (tentative)  July 2016  Comprehensive exam cleared: July 28, 2017 
11  Koushik Kanti Barman  July 2017  Coursework in progress  
12  Bhagya Jyoti Nath (Joint Supervision with Prof. D.C. Dalal)  July 2017  Coursework in progress 
Master's Student (M.Sc.)
Sl No  Name  Dissertation Title  Period 
1  Ms.Sonu Dugar  First
and Secondorder Wave Effects on a Floating Cylinder 
Dec'01Apr'02 
2  Asutosh Kr Rai  Linear
and Nonlinear Water Wave Theory for Large Cylinder(s) in Finite Depth 
Jul’03May’04 
3  Pankaj Nath  Some
Properties of Orthogonal Functions and their Applications 
Jul’06May’07 
4  Ms. Deeksha Chugh  Surface
Wave Propagation over an Uneven Ocean Bottom 
Jul’07May’08 
5  Ms Geetika Dutta  Water
Wave Scattering by Small Undulation on a Seabed : Investigation for Both
Impermeable and Porous Beds 
Jul’07May’08 
6  Santu Das  Propagation
of Small Amplitude Waves over Irregular Seabed and Beds with Linear and
Quadratic Slopes 
Jul’08May’09 
7  Suman Bhowmik  Water
Wave Scattering by a Porous Seabed 
Jul’08May’09 
8  K Jatin  Water
Wave Diffraction by Circular Cylinder (s) in Linear Water Waves 
Jul’09May’10 
9  Mridul Saikia  Laplace’s
Equation for Water Wave Diffraction Problem 
Dec'10Apr'11 
10  Ms Akanksha Yadav  Potential flow problem in a wedgeshaped region  Dec'11Apr'12 
11  Krishanu Ray 
On Different Types of Dispersion Relations in Water Wave Problems 
Dec'11Apr'12 
12  Ms Bacchav Pooja Suresh  Application of finite cosine transform for incompressible fluid flow problems over uneven bottom  Dec'11Apr'12 
13  Ms Varsha Sharma  Numerical inversion of Laplace transform via Mellin transform  Dec'11Apr'12 
14  Ayan Chatterjee  MATHEMATICAL MODELING OF VISCOELASTIC BLOOD FLOW IN ARTERIES 
Dec'12Apr'13 
15  Ms Farha Sultana  BED TOPOGRAPHY DISCRETIZATION FOR LINEAR WATER WAVE SCATTERING PROBLEMS 
Dec'12Apr'13 
16  Sudipta Gayen  Green's function and its applications in fluid dynamics  Dec'13May'14 
17  Shibapada Mahato  Modelling of infectious diseases and epidemics  Dec'13May'14 
18  Nikhil Singh  Application of Laplace transform and Mellin transform in a wedgeshaped region  Dec'13May'14 
19  Abhijit Sarkar  Fractional calculus and fractional differential equations  Dec'14May'15 
20  Shantiram Nahata  Green's function: properties and applications  Dec'14May'15 
21  Sudarshan Santra  Perturbation Techniques for differential equations  Dec'14May'15 
22  Ms. Aayushi Koolwal  Fractional Calculus and Some Classes of Fractional Differential Equations  Dec'15May'16 
23  Ms. Arpita Sikader  Water Wave Scattering and Damping  Dec'15May'16 
24  Ms. Pranali Roy Chowdhury  Sloshing in Circular and Rectangular Tanks  Dec'15May'16 
25  Koushik Kanti Barman  Transmission and Reflection Coefficients in Water Wave Scattering Problems  Dec'16May'17 
26  Shubham Jain  River Flow Modelling through SaintVenant Equations  Dec'16May'17 
B.Tech. Students
Sl. No.  Name  BTP Title  Period 
1  Abhishek Kumar  Numerical Solution of Laplace's Equation in regular and irregular domains  July'12Apr'13 
2  Sumit Singh Chauhan  
3  Ajit Singh Bhati  Integral Transform Methods in Fluid Dynamics Problems  July'13Apr'14 
4  Lavesh Gupta 
5  Dipo Daimary  Scattering and Damping of water waves by porous structures  July'16Apr'17 
6  Kartik Yadav 
Summer Trainee
Sl. No.  Student Name  Institute  Title of Project  Duration 
1  Smaranika Dasgupta  Indian School of Mines, Dhanbad (MSc (Math and Comp)) 
Green's Function Method for Timeindependent Boundary Value Problems  May 15  July 10, 2012 
2  Amrita Das  
3  Kuntal Bhandari  Viswa Bharati University B.Sc (Maths) 4th semester 
Study of Special Functions and Applications  May 16June 27, 2013 
4  Dorothy Dutta  Institute of Science and Technology, Gauhati
University B.S. (Maths) 6th semester 
Differential Equations and Uses, Fundamental Numerical Analysis  May 31 July 10, 2013 
5  Upasana Das  
6  Anindita Mukherjee  
7  Rashmita Borah  Tezpur University Int. M.Sc.(Maths) 4th semester 
8  Saswati Sinha  Pondicherry University Int. M.Sc. 
Differential Equations: Theory and Practice  June 10 July 9, 2015 
9  Manmoy Paul  Indian School of Mines, Dhanbad (MSc (Math and Comp)) 

10  Upasana Das  Institute of Science and Technology, Gauhati
University M.S. 
11  Rachaita Dutta  Indian School of Mines, Dhanbad, (MSc (Math and Comp)), 2nd semester  Special functions, integral transforms, water wave mechanics  May 17July 15, 2016 
12  Soumik Das  
13  Neha Roy  B.Sc. 4th semester, Cotton College  Differential equations, Fourier series  May 17July 15, 2016 
14  Anubhuti Gohain Boruah  BIT Mesra, Int. M.Sc.(Maths and Computing) 6th semester  Computational Methods  May July 2017 
15  Jyotsna Nath  NIT Agartala, Int. M.Sc.(Maths and Computing) 6th semester  Methods of Applied Mathematics and Fluid Dynamics  May July 2017 
16  Biswajit Prusty  Veer Surendra Sai University of Technology, Burla, MSc. (Appl Math) 2nd semester  Special Functions, Integral Transforms  May July 2017 
17  Disha Patil  Centre for Modelling and Simulation, University of Pune, M.Tech. 2nd semester  Modelling and Simulation of River Flow through SaintVenant Equations  May July 2017 