Publications

Published papers and selected manuscripts.

This page contains a curated selection of published articles, public preprints, mature manuscripts, and current projects.

Published

Published articles

Peer-reviewed research

Boundary null-controllability of 1D linearized compressible Navier–Stokes system by one control force

Published

Kuntal Bhandari, Shirshendu Chowdhury, Rajib Dutta, and Jiten Kumbhakar

Journal of Differential Equations, 453 (2026), Article 113891.

Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control

Published

Kuntal Bhandari, Jiten Kumbhakar, and Subrata Majumdar

Evolution Equations and Control Theory, 13 (2024), 587–615.

Preprints & manuscripts

Selected unpublished work

Submitted and public manuscripts

Null controllability of one-dimensional barotropic and non-barotropic linearized compressible Navier–Stokes system using one boundary control

Submitted

Jiten Kumbhakar

Preprint.

Time-periodic Navier–Stokes equations with and without cubic damping in hybrid Besov spaces

Submitted

Jiten Kumbhakar

Time-periodic solutions to the Brinkman–Forchheimer system in Besov spaces

Submitted

Jiten Kumbhakar

Current projects

Selected works in progress

Current research

Time-periodic solutions and maximal regularity for compressible Navier–Stokes equations in Besov spaces

Work in progress

Kuntal Bhandari, Thomas Eiter, Jiten Kumbhakar, Šárka Nečasová, and Yoshihiro Shibata

Collaborative manuscript in preparation.

A heat-conducting rigid body in a compressible Navier–Stokes–Fourier fluid with finite interfacial thermal resistance

Work in progress

Jiten Kumbhakar, with Kuntal Bhandari and Šárka Nečasová

Ongoing collaborative research.

Localized Insensitizing Controls for a Two-Dimensional Chemotaxis–Brinkman System with Admissible Sources

Work in progress

Jiten Kumbhakar

Sharp boundary null controllability of a two-dimensional parabolic–transport system with a single inflow control

Work in progress

Jiten Kumbhakar

Thesis

Ph.D. thesis

Boundary controllability of linearized compressible Navier–Stokes system and related equations

Ph.D. thesis

Jiten Kumbhakar · IISER Kolkata, 2024

Supervisor: Dr. Shirshendu Chowdhury.