Jiten KumbhakarPostdoctoral Researcher in Mathematics
PDEs · Fluid Mechanics · Control Theory

Mathematical analysis of fluid equations, controllability, and critical-space methods.

I am a postdoctoral researcher at the Institute of Mathematics, Czech Academy of Sciences, working with Professor Šárka Nečasová. My research lies at the intersection of partial differential equations, mathematical fluid mechanics, controllability, and harmonic analysis.

I study compressible Navier–Stokes systems, time-periodic fluid problems, controllability and stabilization of PDEs, and well-posedness questions in Besov-type critical spaces.

View publicationsDownload CVGoogle Scholar

About me

I received my Ph.D. in Mathematics from IISER Kolkata, where I worked under the supervision of Dr. Shirshendu Chowdhury on boundary controllability problems for compressible Navier–Stokes systems and related equations.

Since February 2025, I have been a postdoctoral researcher in Prague. My current work broadens my earlier control-theoretic research toward time-periodic fluid equations and nonlinear problems in critical Besov spaces.

Research interests

My work combines PDE analysis, fluid mechanics, and harmonic analysis.

Compressible Navier–Stokes equationsBoundary controllabilityStabilization of PDEsTime-periodic solutionsBesov spacesBrinkman–Forchheimer models

Selected publications and manuscripts

  • Boundary null-controllability of 1d linearized compressible Navier–Stokes system by one control force
    K. Bhandari, S. Chowdhury, R. Dutta, and J. Kumbhakar. Journal of Differential Equations, 2026.
  • Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control
    K. Bhandari, J. Kumbhakar, and S. Majumdar. Evolution Equations and Control Theory, 2024.
  • Boundary controllability of one-dimensional barotropic and non-barotropic linearized compressible Navier–Stokes systems
    J. Kumbhakar. Submitted to Journal of Differential Equations.
  • Global well-posedness and stabilization of a damped transport–diffusion equation in critical Besov spaces
    J. Kumbhakar. Submitted to Journal of Mathematical Analysis and Applications.

Thesis and CV

My Ph.D. thesis is available online, and my updated academic CV can be downloaded here.

Download CVPh.D. thesis