Dr. Shirshendu Chowdhury

Academic Background

  1. Ph.D. (Mathematics), TIFR CAM, Bangalore (Tata Institute of Fundamental Research, Mumbai), 2013, Dissertation Title: Control of Linearized Compressible Navier-Stokes Equations
  2. M.Sc. (Mathematics), TIFR CAM, Bangalore (Tata Institute of Fundamental Research, Mumbai), 2008
  3. B.Sc (Mathematics), Serampore College (University of Calcutta), 2005

Positions

  1. Assistant Professor, IISER Kolkata (2017-current)
  2. Assistant Professor in Mathematics, Indian Institute of Technology, Kharagpur, India. (2016 - 2017)
  3. Inspire Faculty in Mathematics, Indian Institute of Science Education And Research, Kolkata, India. (2015 - 2016)
  4. Post Doc Fellow, Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bangalore, India. (2014 - 2015)
  5. IFCAM post doc fellow, Institut de Mathématiques de Toulouse, Université Paul Sabatier, Toulouse, France (2013 - 2014)

Awards and Honors

  1. INSPIRE Faculty Award from Department of Science & Technology (2015)
  2. Harish Chandra Memorial Award for the Best Ph. D. Thesis in Mathematics for the year 2013-2014 from Tata Institute of Fundamental Research, Mumbai (2014).

Extramural Grant and Project

  1. MATRICS Research Grant, Funding Agency: SERB Amount: 6 Lakhs (2 Lakhs per year) Duration: 2022-25.
  2. Be a member of Indo-French Centre for Applied Mathematics(IFCAM) Project: “Analysis, Control and Homogenization of Complex systems” for the year 2019-2021.
  3. Inspire Research Grant, 35 Lakhs (7 Lakhs per year) for 5 years (2015-2020).

Visits and Fellowship Obtained

  1. Fund obtained from the Director of Laboratoire Jacques-Louis Lions (LJLL) at Sorbonne Université, Paris for a visit from June 9 to July 21, 2024, to collaborate with him and various researchers of LJLL. (It is the largest laboratory in France and one of the main ones in the world for training and research in applied mathematics. )
  2. Visited Institut de Mathématiques de Bordeaux (IMB) , Bordeaux, France for the period 18th June - 1st July, 2024 for collaborative research.
  3. Visited Laboratoire J.-L. Lions(LJLL) at Sorbonne Université, Paris, France from 2nd July-9th July, 2022 under the Fund of Director of LJLL.
  4. Visited Institut de Mathématiques de Bordeaux (IMB) , Bordeaux, France for the period 7th June - 1st July, 2022.
  5. Visited as an Invited Assistant Professor to Institut de Mathématiques de Toulouse, for one month namely June, 2019 under the Fund of IFCAM Project.
  6. Fellowship obtained for visit as an Invited Assistant Professor from Institut de Mathématiques de Toulouse (The “Fermat prize”is awarded by this Institute), Université Paul Sabatier, Toulouse, France, for the period 30th May,2018- 29th June,2018.

Workshop Organized

  1. International Workshop: ICTS program : “Recent advances on control theory of PDE systems” from February 12 to February 23, 2024 at the ICTS Campus in Bangalore. Program link: (https://www.icts.res.in/program/RACP2023) Role: One of the Organisers.
  2. NCM Workshop : Control Theory for Partial Differential Equation, 4-16 Dec, 2023, in IISER TVM, Role: One of the organizers and a Speaker. Program link: (https://www.atmschools.org/school/2023/NCMW/ctpde)
  3. NCM Workshop on Control Theory for Differential Equations, Dates:- 28th Nov to 10th Dec, 2022 , Role: One of the organizers and a Speaker. Program link: (https://www.atmschools.org/school/2022/NCMW/ctde)
  4. Annual Foundation School - II (Kolkata, 2022), 20th June 2022 - 16th July, 2022 in IISER Kolkata. Role: One of the organizers and a Speaker. Program link: (https://www.atmschools.org/school/2022/AFS-II/afs-ii-kolkata)
  5. One of the four organizers and chairperson of 7 Sessions in the International programme in Zoom:WEBINAR ON PDE AND RELATED AREAS (https://www.iitk.ac.in/math/weekly-webinar-on-pde-and-related-areas) during 3rd September- 15 th December, twice a week, 2020.

For more details see the CV.

Partial Differential Equations, Fluid Mechanics, Control Theory.

Linear and Nonlinear Partial Differential Equations (PDE), Control of PDE, Compressible flow, Incompressible flow, Viscoelastic flow. In particular Controllability (Exact, Null, Approximate), Stabilizability (Open loop and Closed loop Feedback), Optimal control, Inverse problem for Compressible Navier-Stokes equations, Incompressible Navier-Stokes equations, Viscoelastic flow of Maxwell and Jeffreys fluid, FitzHugh-Nagumo equation, Rogers-McCulloch equation, Creeping flow model, Camassa-Holm Equation, Coupled wave system etc.

These various linear and nonlinear coupled PDE models appears with parabolic-hyperbolic coupling, parabolic-parabolic coupling, ODE-hyperbolic coupling, ODE-parabolic coupling, hyperbolic-elliptic coupling, hyperbolic-hyperbolic coupling, parabolic-elliptic coupling etc. Coupling with ODE creates non-local terms in the model in the form of integrals either in space or time or both.

I have utilized different techniques of control of PDE (several direct methods and Indirect duality methods based on observability) to study controllability, stabilizability, Optimal control problems. For example: Spectral methods (The Moment methods, Ingham inequalities and Non-harmonic Fourier series), method of Characteristics, Holmgren’s uniqueness theorem, Method of Multiplier, Extension method, Compactness-uniqueness method, Method of Lebeau-Robbiano, Source term method, Fixed point arguments, Quasi-static deformation method , Power series expansion method, Backstepping method, Gramian approach, Ricatti based feedback, Urquiza’s method, Geometric control theory (Agrachev-Sarychev approach, Lie brackets structure) etc. are used to prove the controllability and stabilization results in my published and ongoing works.

Moreover, I want to explore other methods, for example: Return method (Introduced by Jean-Michel Coron), method of Fursikov-Imanuvilov (Carleman estimates), Fundamental solution methods, Transmutation techniques, Flatness approach, Microlocal Analysis, “Phantom Tracking” strategy, Nonlinear Feedback etc

  1. Chowdhury, Shirshendu,Dutta, Rajib and Majumdar, Subrata. 2024 Local Exponential Stabilization of Rogers–McCulloch and FitzHugh–Nagumo Equations by the Method of Backstepping. ESAIM Control Optim. Calc. Var. 30 (2024), Paper No. 41, 45 pp.
  2. Chowdhury, Shirshendu,Dutta, Rajib; Majumdar, Subrata 2023 Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system. Evol. Equ. Control Theory 12 , no. 3, 907-943.
  3. Chowdhury, Shirshendu, Dutta, Rajib and Majumdar, Subrata. 2021. “ Boundary Stabilizability of the linearized compressible Navier-Stokes system in one dimension by Backstepping approach.” SIAM J. Control Optim., 59, 2147-2173
  4. Chowdhury, Shirshendu, Biswas, Mrinmay and Dutta, Rajib. 2020."Approximate controllability of the FitzHugh-Nagumo equation in one dimension." J. Differential Equations, 268, 3497-3563
  5. Chowdhury, Shirshendu and Ervedoza, Sylvain. 2019."Open loop stabilization of incompressible Navier-Stokes equations in a 2d channel using power series expansion." J. Math. Pures Appl., 9, 301-346
  6. Chowdhury, Shirshendu Mitra, Debanjana and Renardy, Michael. 2018."Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control.." Evol. Equ. Control Theory, 7, 447-463
  7. Chowdhury, Shirshendu Mitra, Debanjana; Ramaswamy, Mythily and Renardy, Michael. 2017."Approximate controllability results for linear viscoelastic flows." J. Math. Fluid Mech., 19, 529-549
  8. Chowdhury, Shirshendu Maity, Debayan; Ramaswamy, Mythily and Raymond, Jean-Pierre. 2015." Local stabilization of the compressible Navier-Stokes system, around null velocity, in one dimension.." J. Differential Equations , 259, 371-407
  9. Chowdhury, Shirshendu 2015."Approximate controllability for linearized compressible barotropic Navier-Stokes system in one and two dimensions.." J. Math. Anal. Appl. , 422, 1034-1057
  10. Chowdhury, Shirshenduand Mitra, Debanjana. 2015."Null controllability of the linearized compressible Navier–Stokes equations using moment method." J. Evol. Equ. , 15, 331-360
  11. Chowdhury, Shirshendu Mitra, Debanjana; Ramaswamy, Mythily and Renardy, Michael. 2014."Null controllability of the linearized compressible Navier Stokes system in one dimension.." J. Differential Equations, 257, 3813-3849
  12. Chowdhury, Shirshenduand Ramaswamy, Mythily. 2013."Optimal control of linearized compressible Navier-Stokes equations." ESAIM Control Optim. Calc. Var. , 19, 587-615
  13. Chowdhury, Shirshendu Ramaswamy, Mythily and Raymond, Jean-Pierre. 2012."Controllability and stabilizability of the linearized compressible Navier-Stokes system in one dimension." SIAM J. Control Optim., 50, 2959-2987

Post-Doc

  • Samprita Das Roy (02 November, 2021- 02 November, 2023)

Ph.D

  • Jiten Kumbhakar (2019- 2024) Prime Minister's Research Fellow (PMRF, 2020), Date of Completion/Defense: 13th August, 2024
  • Debanjit Mondal, Senior Research Fellow (SRF) (2022- onwards)

Project Students

Prof. Shirshendu Chowdhury
Department Department-of-Mathematics-Statistics, AAC Building,
Room No. 331,
Indian Institute of Science Education and Research Kolkata
Mohanpur 741246 West Bengal, India
E-mail : shirshendu@iiserkol.ac.in