Supervision/Mentoring carried out:

 

Category	Completed	Ongoing
Faculty in service (e.g., DST-TARE)	0	1
PDF	3	1
PhD	13	8
M.Sc.	38	0
B. Tech.	7	2

 

 

SERB-TARE Fellow

 

Dr. Sunanda Saha (Assistant Professor in Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu), December 2021-December 2024.

Project: Transient Analysis of Hydrodynamic Coefficients Connected to Cylindrical Breakwaters (Three Years)

 

Post Doctoral Fellows

 

Dr. Alka Chadha (PhD from IIT Roorkee), May 2016-September 2017 (Presently Assistant Professor, IIIT Raichur)

Dr. Vidushi (PhD from IIT Roorkee), May 2017-November 2018

Dr. Bichitra Kumar Lenka (PhD from IISER Kolkata), December 2020-December 2022

Dr. Basua Debananda (PhD from BITS Pilani, Hyderabad), December 2023-

 

 

Doctoral Students

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Sl No	Name	Thesis Title	Period	Status/Update
1	Dr. Subash Chandra Martha, Associate Professor,   Indian Institute of Technology Ropar, Punjab, India	Reflection and Transmission of Surface Water Waves by Undulating Bottom Topography	July 2002-May 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 Two-layer Fluid	July 2005-Oct 2009	Thesis Defended:  Oct 26, 2009
3	Dr. Santu Das, Associate Professor, Institute of Advanced Studies in Science and Technology, Paschim Boragaon, Guwahati, India	Linear Water Wave Damping by a Bottom-mounted Porous Structure and by Vertical Dual Porous Plates	July 2009-Sept 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 2009-Sept 2014	Thesis Defended: September 22, 2014
5	Dr. (Ms.) Sunanda Saha, Assistant Professor, Centre for Clean Environment and Department of Mathematics,  Vellore Institute of Technology, Vellore, Tamil Nadu, India	Study of Trapped Modes in Two- and Three-layer Fluids	July 2010-Oct 2014	Thesis Defended: October 20, 2014
6	Dr. (Ms.) Neelam Choudhary Associate Professor, Department of Mathematics, School of Engineering and Applied Sciences, Bennett University, Greater NOIDA, Uttar Pradesh, India	Linear Sloshing in Vertical Circular Cylindrical Containers with Different Configurations under the Influence of Surface Tension	July 2010-Nov 2015	Thesis Defended: November 30, 2015
7	Dr. Jayanta Borah, Assistant Professor, Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur 784028, Assam, India	A Study on Some Classes of Fractional Differential Equations with Non-instantaneous Impulsive Conditions	July 2012- Jan 2019	Thesis Defended: January 28, 2019
8	Dr. Abhijit Sarkar, Assistant Professor, University B.T. and Evening College, Cooch Behar, West Bengal, India	Diffraction and Radiation of Linear Water Waves by  a Vertical Composite Porous Cylinder of Various Configurations in Finite Ocean Depth	Jan 2016-Feb 2021	Thesis Defended: February 8, 2021
9	Dr. (Ms.) Bandita Roy	On the Existence, Uniqueness and Approximate Controllability of Some Classes of Differential Equations with Different Types of Fractional Derivatives	Jan 2016-Aug 2021	Thesis Defended:  August 12, 2021
10	Dr. Ayan Chanda, Assistant Professor, Department of Mathematics, Birla Institute of Technology Mesra, Ranchi, Jharkhand, India	Water Wave Interaction with Different Structures  and Obstacles due to Various Types of Bottom Topography  in a Homogeneous Fluid and a Two-layer Fluid	July 2016-Aug 2021	Thesis Defended:  August 27, 2021
11	Dr. Koushik Kanti Barman,  Post-Doctoral Fellow, Ocean College, Zhejiang University, Zhoushan, Zhejiang, China	Study of Scattering and Trapping of Water Waves in Two-layer Fluids for Various Types of Structure Configuration and Sea-beds	July 2017-July 2022	Thesis Defended: July 1, 2022
12	Dr. Matap Shankar, Post-Doctoral Fellow, Department of Mathematics, Shanghai University, Shanghai, China	Ulam-Hyers and Lyapunov Stability for Some Classes of Fractional Differential Equations and Difference Equations	Jan 2019-Jan 2024	Thesis Defended:  January 24, 2024
13	Dr. (Ms.) Shiva Kandpal	Linearized Saint-Venant Equations in Various Forms with Lateral Inflow in a Channel of Finite Length	Jan 2019-Sep 2024	Thesis Defended: September 3, 2024
14	Abhijit Shit, Assistant Professor, Siksha `O ' Anusandhan (University,) Bhubaneswar, Odisha, India	Modelling of Some Biological Phenomena via Fractional Differential Equations	July 2019-	Thesis Submitted: August 19, 2024
15	Ms. Shilpi Jain	Study of Linear Water Wave Scattering by Some Structures for Different Types of Sea-bed with Emphasis on Wave Force Mitigation	Jan 2020-	Synopsis Seminar Presented: December 10, 2024
16	Mahesh Kumar Nehra	Time-domain Analysis of a Moving Load on a Floating Ice-sheet over Different Types of Sea-Beds	Jan 2021-	Second Annual Progress Seminar Presented: August 27, 2024
17	Sunil	On Stability and Controllability of Some Classes of Fractional Differential Equations Involving ψ-Hilfer Fractional Derivative	Jan 2021-	Second Annual Progress Seminar Presented: June 26, 2024
18	Ms. Nabanita Karmakar	Impact of Various Porous Breakwaters in Mitigating Wave Forces on a Tunnel Placed in a Sea with Different Bottoms	Jan 2022-	First Annual Progress Seminar Presented: July 26, 2024
19	Ms. Sohini Pal	Diverse Approaches in the Dynamic Analysis of Landslide-driven tsunami Waves	July 2022-	State-of-the-Art-Seminar Presented: February 29, 2024
20	Ms. Smriti Singh	-Fluid Dynamics (Topic not yet decided)-	July 2024-	Coursework in Progress
21	Ms. Karabee Devi	-Theoretical Differential Equations (Topic not yet decided)-	July 2024-	Coursework in Progress
(All Solo Supervision)

 

Master's Student (M.Sc.)

 

Sl No	Name	Dissertation Title	Period
1	Ms. Sonu Dugar	First- and Second-order Wave Effects on a Floating Cylinder	Dec'01-Apr'02
2	Asutosh Kr Rai	Linear and Nonlinear Water Wave Theory for Large Cylinder(s) in Finite Depth	Jul'03-May'04
3	Pankaj Nath	Some Properties of Orthogonal Functions and their Applications	Jul'06-May'07
4	Ms. Deeksha Chugh	Surface Wave Propagation over an Uneven Ocean Bottom	Jul'07-May'08
5	Ms. Geetika Dutta	Water Wave Scattering by Small Undulation on a Sea-bed : Investigation for Both Impermeable and Porous Beds	Jul'07-May'08
6	Santu Das	Propagation of Small Amplitude Waves over Irregular Sea-bed and Beds with Linear and Quadratic Slopes	Jul'08-May'09
7	Suman Bhowmik	Water Wave Scattering by a Porous Sea-bed	Jul'08-May'09
8	K Jatin	Water Wave Diffraction by Circular Cylinder(s) in Linear Water Waves	Jul'09-May'10
9	Mridul Saikia	Laplace's Equation for Water Wave Diffraction Problem	Dec'10-Apr'11
10	Ms. Akanksha Yadav	Potential flow problem in a wedge-shaped region	Dec'11-Apr'12
11	Krishanu Ray	On Different Types of  Dispersion Relations in Water Wave Problems	Dec'11-Apr'12
12	Ms. Bacchav Pooja Suresh	Application of finite cosine transform for incompressible fluid flow problems over uneven bottom	Dec'11-Apr'12
13	Ms. Varsha Sharma	Numerical inversion of Laplace transform via Mellin transform	Dec'11-Apr'12
14	Ayan Chatterjee	Mathematical Modelling of Viscoelastic Blood Flow in Arteries	Dec'12-Apr'13
15	Ms. Farha Sultana	Bed Topography Discretization for Linear Water Wave Scattering Problems	Dec'12-Apr'13
16	Sudipta Gayen	Green's Function and its Applications in Fluid Dynamics	Dec'13-May'14
17	Shibapada Mahato	Modelling of Infectious Diseases and Epidemics	Dec'13-May'14
18	Nikhil Singh	Application of Laplace transform and Mellin transform in a Wedge-shaped Region	Dec'13-May'14
19	Abhijit Sarkar	Fractional Calculus and Fractional Differential Equations	Dec'14-May'15
20	Shantiram Nahata	Green's Function: Properties and Applications	Dec'14-May'15
21	Sudarshan Santra	Perturbation Techniques for Differential Equations	Dec'14-May'15
22	Ms. Aayushi Koolwal	Fractional Calculus and Some Classes of Fractional Differential Equations	Dec'15-May'16
23	Ms. Arpita Sikder	Water Wave Scattering and Damping	Dec'15-May'16
24	Ms. Pranali Roy Chowdhury	Sloshing in Circular and Rectangular Tanks	Dec'15-May'16
25	Koushik Kanti Barman	Transmission and Reflection Coefficients in Water Wave Scattering Problems	Dec'16-May'17
26	Shubham Jain	River Flow Modelling through Saint-Venant Equations	Dec'16-May'17
27	Abhijit Shit	Fractional Differential Equations and Open Channel River Flow	Dec'17-May'18
28	Ms. Subhadra Mishra	Study of Reflection of Linear Water Waves by Porous Structures	Dec'17-May'18
29	Bittu Kumar Keshari	Study of Fractional Differential Equations and Some Applications	Dec'18-May'19
30	Suman Das	Study of Linear Water Wave Propagation over Some Natural Obstacles	Dec'18-May'19
31	Dipanjan Mitra	Porous Structures as Breakwaters in Ocean and Related Phenomena	Dec'19-May'20
32	Vinod Kumar Raigar	Some Integral Transforms and Applications to Differential Equations	Dec'19-May'20
33	Arindam Sarkar	Application of Fixed Point Theorems in Fractional Differential Equations	Dec'20-Apr'21
34	Abhishek (Co-Supervisor: Dr. Bichitra Kumar Lenka, IPDF)	Fractional Differential Equations:  Theory and Applications	Jan'22-May'22
35	Pawan Kumar	Linear Water Waves: Theory and Some Applications	Jan'22-May'22
36	Deepak Kumar	Fractional Calculus and Fractional Differential Equations:  Theory and Applications	Jan'23-May'23
37	Bhedesh Kumar	Linear Water Wave Propagation: Theory, Importance and Applications	Jan'23-May'23
38	Vikash Kumar	Fractional Calculus and Fractional Differential Equations: Theory and Applications	Jan'24-May'24

 

B.Tech. Students

 

Sl. No.	Name	BTP Title	Period
1	Abhishek Kumar	Numerical Solution of Laplace's Equation in regular and irregular domains	July'12-Apr'13
2	Sumit Singh Chauhan
3	Ajit Singh Bhati	Integral Transform Methods in Fluid Dynamics Problems	July'13-Apr'14
4	Lavesh Gupta

5	Dipo Daimary	Scattering and Damping of water waves by porous structures	July'16-Apr'17
6	Kartik Yadav

7	Mamilla Rajasekhar	Flood Routing through Saint-Venant Equations with Lateral Inflow with Special Emphasis on Diffusive Wave Equations	July'18-May'19
8	Litesh Kumar	Deep learning Methods in Solving Some Partial Differential Equations	July'24-May'25
9	Upesh Jeengar

 

Summer Trainee

 

Sl. No.	Student Name	Institute	Title of Project	Duration
1	Ms. Smaranika Dasgupta	Indian School of Mines, Dhanbad                    (MSc (Math and Comp))	Green's Function Method for Time-independent Boundary Value Problems	May 15 - July 10, 2012
2	Ms. Amrita Das
3	Kuntal Bhandari	Viswa Bharati University B.Sc (Maths) 4th semester	Study of Special Functions and Applications	May 16-June 27, 2013
4	Ms. 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	Ms. Upasana Das
6	Ms. Anindita Mukherjee
7	Ms. Rashmita Borah	Tezpur University           Int. M.Sc.(Maths) 4th semester

8	Ms. Saswati Sinha	Pondicherry University   Int. M.Sc. 6th semester	Differential Equations: Theory and Practice	June 10- July 9, 2015
9	Manmoy Paul	Indian School of Mines, Dhanbad                    (MSc (Math and Comp)) 2nd semester
10	Ms. Upasana Das	Institute of Science and Technology, Gauhati University                    M.S.