Bholanath Kumbhakar

I'm

Department of Mathematics, Indian Institute of Technology Gandhinagar, Gujrat, India

About

I am a Postdoc student at the Indian Institute of Technology Gandhinagar, Gujrat, India in the Department of Mathematics under the supervision of Prof. Jagmohan Tyagi. My current area of research is Existence and Regularity of Navier-Stokes Equations in Besov spaces. In my doctoral research, my research interest was controllability of systems governed by semilinear differential inclusions and evolution hemivariational inequalities. More specifically, I studied the approximate, null and exact controllability for semilinear differential inclusions involving convex as well as nonconvex valued multimaps. Also, I studied the approximate and exact controllability of systems governed by hemivariational inequalities involving Clarke generalized directional derivatives.

Research Scholar

  • Age: 28
  • Degree: Master
  • Email: bkumbhakar@mt.iitr.ac.in

Resume

You can find the CV in a PDF format Here.

Education

Postdoctoral Research

July 2025- December 9, 2025

  • Indian Institute of Science, Education and Research Thiruvanthapuram, Kerala, India
  • Research Area: Optimal Control, Partial Differential Equations/li>
  • Supervisor: Prof. Sheetal Dharmatti

Ph. D.

Degree Awarded, Award Date: 25-02-2025

  • Indian Institute of Technology Roorkee, Uttarakhand, India
  • Research Area: Control Theory, Differential Inclusions, Hemivariational Inequality
  • Supervisor: Prof. Dwijendra Narain Pandey
  • Thesis Title: Controllability of Some Semilinear Differential Inclusions and Hemivariational Inequalities

Education

Master of Science (M.Sc.) in Mathematics

2016 - 2018
  • The University of Burdwan, West Bengal, India
  • Percentage: 78.8%, CGPA: 8.38

    • Bachelor of Science (B.Sc.) in Mathematics

    2013 - 2016
  • Jagannath Kishore College, Purulia, West Bengal, India
  • Percentage: 79.875%

    • Higher Secodary

    2011 - 2013
  • Purulia Zilla School, Purulia, West Bengal, India
  • Percentage: 77.2%

    • Secondary

    2011
  • Ladhurka High School, Purulia, West Bengal, India
  • Percentage: 81.875%

    • Professional Experience

    87th Annual Conference of the Indian Mathematical Society

    Date: 4-7 December 2021
  • MGM University, Maharashtra
  • Title of the presented paper: Existence of solution of nonautonomous systems with general nonlocal conditions

    • International Conference on Dynamical Systems, Control Theory their Applications (ICDSCA-2022)

    Date: July 1-3, 2022
  • Department of Mathematics, Indian Institute of Technology Roorkee
  • Title of the presented paper: $L^p$-Exact controllability of nonautonomous differential inclusion with nonlocal conditions

    • SIAM Conference on Control and Its Applications (CT23)

    Date: July 24-26, 2023
  • Philadelphia, Pennsylvania, USA
  • Title of the presented paper: Approximate Controllability of Semilinear Differential Inclusion with Nonlocal Conditions

    • 2023 International Congress on Industrial and Applied Mathematics (ICIAM 2023) Tokyo (Online)

    Date: 20-25 August, 2023
  • Waseda University, Tokyo, Japan
  • Title of the presented paper: Null controllability of semilinear differential inclusion with nonlocal conditions

    • Research Work

    Research Publications

  • Bholanath Kumbhakar, and Dwijendra Narain Pandey, Approximate controllability of evolution hemivariational inequalities in Banach spaces, Journal of Differential Equations 410 (2024): 346-381.
    • Link: Click Here
  • Bholanath Kumbhakar, and Dwijendra Narain Pandey, Approximate controllability of nonconvex valued semilinear differential inclusion, Evolution Equations and Control Theory 14.1 (2025): 96-122
    • Link: Click Here
  • Bholanath Kumbhakar, and Dwijendra Narain Pandey, Lp- null controllability of abstract differential inclusion with the nonlocal condition, Mathematical Control and Related Fields 15.3 (2025): 1121-1149
    • Link: Click Here
  • Bholanath Kumbhakar, and Dwijendra Narain Pandey, Exact Controllability of Hemivariational Inequalities in Banach spaces, Applied Mathematics & Optimization 92.1 (2025): 18.
    • Link: Click Here
  • Bholanath Kumbhakar, and Dwijendra Narain Pandey, Lp- Exact controllability of abstract differential inclusion with nonlocal condition, Topological Methods in Nonlinear Analysis 1.1 (2025): 1-44.
    • Link: Click Here

    Conference Paper

  • Bholanath Kumbhakar, and Dwijendra Narain Pandey. Approximate controllability of semilinear differential inclusion with nonlocal conditions. Proceedings of the Conference on Control and its Applications (CT). Society for Industrial and Applied Mathematics, 2023.
    • Link: Click Here

    Preprints

  • Bholanath Kumbhakar, and Dwijendra Narain Pandey. Exact Controllability of Evolution Hemivariational Inequalities in Banach spaces.
    • Status: Submitted.
  • Bholanath Kumbhakar, and Dwijendra Narain Pandey. Lp- null controllability of abstract differential inclusion with the nonlocal condition.
    • Status: Revision submitted in the Journal “Mathematical Control and Related Fields.”
  • Bholanath Kumbhakar, and Dwijendra Narain Pandey. Approximate Controllability of Nonconvex valued Semilinear Differential Inclusions with Nonlocal Conditions.
    • Status: Accepted for publication in the Journal Evolution Equations and Control Theory.

    Contact

    Address

    Department of Mathematics, Indian Institute of Technology Roorkee

    Call Us

    +91 7063799018

    Email Us

    bkumbhakar@mt.iitr.ac.in