Publications

Publications and Preprints

• 1. Null controllability of the linearized compressible Navier Stokes system in one dimension, with S. Chowdhury, M. Ramaswamy and M. Renardy, J. Differential Equations 257 (2014), no. 10, 3813-3849 (http://dx.doi.org/10.1016/j.jde.2014.07.010).

  2. Null Controllability of the Linearized Compressible Navier-Stokes Equations Using Moment Method, with S. Chowdhury, J. Evol. Equ., vol. 15 (2015), 331-360 (http://dx.doi.org/10.1007/s00028-014-0263-1).

  3. Largest space for the stabilizability of the linearized compressible Navier-Stokes system in one dimension, with M. Ramaswamy and J.P. Raymond , Math. Control Relat. Fields., vol 5, no 2, June 2015, 259-290.

  4. Interior local null controllability for one-dimensional compressible flow near a constant state, with M. Ramaswamy and M. Renardy, Math. Meth. Appl. Sci., vol 40, No 10, (2016) 3445-3478.

  5. Local stabilization of the compressible Navier-Stokes System in one dimension around a non-zero velocity, with M. Ramaswamy and J.P. Raymond , Advances in Differential Equations, vol 22, No 9-10 (2017), 693-736.

  6. Approximate controllability results for linear viscoelastic flows, with S. Chowdhury, M. Ramaswamy and M. Renardy, J. Math. Fluid Mech. , vol 19 (2017), 529-549.

  7. Interior local null controllability for multidimensional compressible flow near a constant state, with M. Renardy, Nonlinear Anal. Real World Appl., vol 37, (2017), 94-136.

  8. Approximate controllability results for viscoelastic ows with infinitely many relaxation modes, with M. Ramaswamy and M. Renardy, J. Differential Equations 264 (2018), no. 2, 575–603, https://doi.org/10.1016/j.jde.2017.09.016.

  9. Local null controllability of the viscous Camassa-Holm equation, J. Evol. Equ, https://DOI 10.1007/s00028-017-0414-2,

  10. Null controllability of the linearized incompressible Navier-Stokes equations in 2-D channel using normal boundary control, with S. Chowdhury and M. Renardy, Accepted in Evol. Equ. Control Theory.

  11. Lack of null controllability of viscoelastic ows, with D. Maity and M. Renardy, ESAIM Control Optim. Calc. Var. 25 (2019), Art. 60, 26 pp.

  12. Pure stress modes for linear viscoelastic flows with variable coefficients, with M. Ramaswamy and M. Renardy, Z. Angew. Math. Phys. (2019) 70: 97. https://doi.org/10.1007/s00033-019-1140-0.

  13. Stabilizability of time-periodic evolution equations by finite dimensional controls with M. Badra, M. Ramaswamy and J-P. Raymond, SIAM J. Control Optim. 58(2020), no 3, 1735-1768.

  14. Local feedback stabilization of time-periodic evolution equations by finite dimensional controls, with M. Badra, M. Ramaswamy and J-P. Raymond, ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 101, 38 pp.

  15. Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body, with A. Roy and T. Takahashi, Math. Control Signals Systems 33 (2021), no. 4, 637-667.

  16. Local stabilization of viscous Burgers equation with memory, with W. Akram,  Evol. Equ. Control Theory 11 (2022), no. 3, 939-973.

  17. Lack of complete stabilizability of some coupled ODE-Parabolic systems, with D. Maity and M. Ramaswamy, Math. Rep. (Bucur.) 24(74) (2022), no. 1-2, 241–267.

  18. Lack of null controllability of one dimensional linear coupled transport-parabolic system with variable coefficients, with S. Ahamed, D. Maity, J. Differential Equations 320 (2022), 64-113.

Working on

• • Feedback stabilization of heat equation with memory and its numerical analysis, with W. Akram, N. Nataraj and M. Ramaswamy, Submitted, https://doi.org/10.48550/arXiv.2303.11067.

  • Some controllability results for linearized compressible Navier-Stokes System with Maxwell's Law, with S. Ahamed, Submitted, 

https://doi.org/10.48550/arXiv.2210.11756.

• Stabilization of parabolic type evolution equations in unbounded domain, with M. Badra and S. Ervedoza.

• Time-periodic solution of blood-flow models, with D. Maity, M. Ramaswamy and J.-P. Raymond.

Thesis

• • Master Degree Dissertation , 2012

  • Thesis Advisor: Prof. Mythily Ramaswamy

  • Thesis Title : Null controllability for a fluid model.

  • TIFR-CAM,Bangalore, India.

  • Phd Degree Dissertation , December, 2015

  • Thesis Advisor: Prof. Mythily Ramaswamy

  • Thesis Title : Controllability and Stabilizability of compressible Navier-Stokes system.

  • TIFR-CAM,Bangalore, India.