Jiten Kumbhakar

I'm a

About

I am an Integrated PhD student at the Indian Institute of Science Education and Research Kolkata (IISER Kolkata) in the Department of Mathematics and Statistics (DMS). My research interest is Control of Partial Differential Equations (PDEs). More specifically, I am working on the Control of fluid flow models, namely, linearized compressible Navier-Stokes equations in one dimension, and related evolution equations, under the supervision of Dr. Shirshendu Chowdhury.

Research Scholar (PMRF, SRF).

  • Birthday: 28 June 1997
  • Phone: 033 6136 0000 (Ext-2140)
  • Place: Kolkata, West Bengal, India
  • Institute: IISER Kolkata
  • Email: jk17ip021@iiserkol.ac.in
  • Affiliation: Integrated PhD Student

Résumé

Please find the CV in a PDF format here.

Education

Integrated PhD, PMRF, SRF

July 2017- Current

Indian Institute of Science Education and Research (IISER) Kolkata, West Bengal, India

  • Research Area: Control of PDEs
  • Supervisor: Dr. Shirshendu Chowdhury

B.Sc. in Mathematics

July 2014- May 2017

Jagannath Kishore College, Purulia, West Bengal, India

  • Percentage: 88.5%

Higher Secondary in Science

2012-2014

Purulia M.M. High School, Purulia, West Bengal, India

  • Percentage: 81%

Class 10th

2010-2012

Purulia M.M. High School, Purulia, West Bengal, India

  • Percentage: 80.7%

Honors & Awards

PMRF

Prime Minister Research Fellow at IISER Kolkata

Gold Medalist

Shakti Sadhan Basu Memorial Medal and prize

  • Awarded for securing highest marks in B.Sc in Mathematics among all students in Purulia District

Gold Medalist

Manindralal Banerjee Memorial Prize

  • Awarded for highest marks in B.Sc in Arts, Science and Commerce among all students in Purulia District

CSIR JRF (December 2018)

  • Got 98th rank in the NET exam conducted by CSIR

JAM (2017)

  • Got 38th rank in the JAM exam in mathematics and 72th rank in statistics

Course Projects

Master’s Thesis

Project Title: Controllability of ODE, Heat Equation and Navier-Stokes Equations.

  • The project is mainly based on proving null controllability for ODE and Heat equation and lack of null controllability but positive aprroximate controllability for linearized compressible Navier-Stokes equations in one dimension using method of moments.

Teaching Assistant

Mathematics I

Autumn 2022
  • 1st year undergraduate, IISER Kolkata
  • Instructor: Dr. Saugata Bandyopadhyay

    • Mathematics II

    Spring 2022
  • 1st year undergraduate, IISER Kolkata
  • Instructor: Dr. Anirban Banerjee

    • Research Methodology

    April 2022
  • NPTEL
  • Instructor: Dr. Soumitro Banerjee

    • Mathematics I

    Autumn 2021
  • 1st year undergraduate, IISER Kolkata
  • Instructor: Dr. Saugata Bandyopadhyay

    • Mathematics II

    Spring 2021
  • 1st year undergraduate, IISER Kolkata
  • Instructor: Dr. Shirshendu Chowdhury

    • Analysis II

    Spring 2021
  • 2nd year undergraduate, IISER Kolkata
  • Instructor: Dr. Sushil Gorai

    • Mathematics II

    Spring 2020
  • 1st year undergraduate, IISER Kolkata
  • Instructor: Dr. Shirshendu Chowdhury

    • Analysis III

    Autumn 2019
  • 3rd year undergraduate, IISER Kolkata
  • Instructor: Dr. Shirshendu Chowdhury

    • NPTEL Live Sessions

    Basic Linear Algebra (noc23-ma07)

    Current
  • Instructor: Prof. I. K. Rana, IIT Bombay

    • Introductory Course In Real Analysis (noc22-ma79)

    July- Oct, 2022
  • Instructor: Prof. P. D. Srivastava, IIT Kharagpur

    • Classes

    Class 11

    July - December, 2021
  • Jawahar Navodaya Vidyalaya, Kalyani, Nadia, West Bengal, India

    • Workshops

    Convex integration solutions for the transport equation

  • Speaker: Dr. Ujjwal Koley, TIFR CAM
  • Date: November 08 - 18, 2021

    • Short Course in Calculus of Variations

  • Speaker: Professor Bernard Dacorogna, EPFL, Switzerland
  • Date: January 28- February 01, 2019

    • Conferences

    Control Theory meets the Theory of Homogenization, IIT Bombay

  • Date: Feb 28- Mar 04, 2023

    • Short Course in Calculus of Variations

  • Speaker: Professor Bernard Dacorogna, EPFL, Switzerland
  • Date: January 28- February 01, 2019

    • Seminars

    Null and Approximate controllability of Heat equation in one dimension using the method of Flatness

  • Weekly Research Seminar, Organized by Mythily Ramaswamy, TIFR-ICTS Bangalore
  • Date: August 05, 2021

    • List of Publications

    1. Kuntal Bhandari, Jiten Kumbhakar, and Subrata Majumdar. Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control. Evol. Equ. Control Theory, 13(2):587–615, 2024.
      Link: Click Here

    PrePrints

    1. Kuntal Bhandari, Shirshendu Chowdhury, Rajib Dutta, and Jiten Kumbhakar. Boundary null-controllability of 1d linearized compressible Navier-Stokes system by one control force, 2024.
      Link: Click Here
      Current Status: Submitted.
    2. Jiten Kumbhakar. Null controllability of one-dimensional barotropic and non-barotropic linearized compressible Navier-Stokes system using one boundary control, 2024.
      Arxiv Link: Click Here
      Current Status: Revised version submitted.

    PhD Thesis

    1. Jiten Kumbhakar. Boundary controllability of linearized compressible Navier-Stokes system and related equations, 2024.
      Link: Click Here

    Advisor Information

    Supervisor: Dr. Shirshendu Chowdhury

    Assistant Professor
    Department of Mathematics and Statistics
    IISER Kolkata
    West Bengal, India
    Email. shirshendu@iiserkol.ac.in
    Webpage. Click Here

    Contact

    Location:

    Kolkata, India, 741246

    Call:

    033 6136 0000 (Ext-2140)