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Manil T. Mohan
Assistant Professor
maniltmohan[at]ma.iitr.ac.in
+91-1332-285319
https://sites.google.com/view/maniltmohan/
Research Interests

Biosketch
Educational Details
Professional Background

Research
Projects
Publications
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Administrative Positions
Miscellaneous
Research Interests
Stochastic (Partial) Differential Equations, Solvability, Large Deviation Theory, Ergodicity, Random Attractors, Stochastic Stability, Partial Differential Equations, Solvability and Stability of Parabolic and Hyperbolic Systems, Inverse Problems, Control Theory , Deterministic and Stochastic Control Theory in Infinite Dimensions, Optimal Control Theory, Mathematical Fluid Dynamics , Stochastic Analysis and Control of Incompressible and Compressible Fluids, Optimization, Problems with Orthogonal Matrix Constraints
BioSketch
Educational Details
Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), INDIA
2014
PhD, Mathematics
Mar Ivanios College, Kerala University, INDIA
2008
MSc, Mathematics
Mar Ivanios College, Kerala University, INDIA
2006
BSc, Mathematics
Professional Background
INSPIRE Faculty
01 May 2018 - 22 Jul 2018
Indian Institute of Technology Roorkee-IIT Roorkee, INDIA
Visiting Scientist
01 Aug 2017 - 31 Jan 2018
Indian Statistical Institute (ISI), Bangalore, INDIA
FIP Substitute Lecturer
01 Jun 2009 - 31 Jul 2009
University College, Thiruvananthapuram, INDIA
NBHM Postdoctoral Fellow
01 Jan 2015 - 31 May 2015
Indian Institute of Science Education and Research, Thiruvananthapuram (IISER-TVM), INDIA
National Research Council (NRC) Postdoctoral Fellow
02 Jun 2015 - 01 Jun 2017
Air Force Institute of Technology (AFIT), USA
Guest Lecturer
28 Oct 2008 - 14 Jan 2009
Mahatma Gandhi College (MG College), Thiruvananthapuram, INDIA
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
INSPIRE Faculty Award 01 May 2018 Mathematics 35,00, 000 for 5 years. Department of Science and Technology




Publications

60. S. Arora, M. T. Mohan and J. Dabas, Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces, Journal of Differential Equations, 307, 83-113, 2022. 

59. V. Kumar, M. T. Mohan and A. K. Giri, On a generalized stochastic Burgers' equation perturbed by Volterra noise,  Journal of Mathematical Analysis and Applications506(1), 125638, 2022. 

58. K. Kinra and M. T. Mohan, Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations, Accepted in Evolution Equations and Control Theory, 2021.

57. A. Kumar and M. T. Mohan, Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations, Accepted in Stochastic Analysis and Applications, 2021.

56. K. Kinra and M. T. Mohan, Large Time Behavior of Deterministic and Stochastic 3D Convective Brinkman-Forchheimer Equations in Periodic Domains, Published online in Journal of Dynamics and Differential Equations, 2021.

55. M. T. Mohan, Large deviation principle for stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise,  Published online in Journal of Evolution Equations, 2021.

54. M. T. Mohan, Well-posedness and asymptotic behavior of stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise, Published online in Stochastics and Partial Differential Equations: Analysis and Computations, 2021.

53. M. T. Mohan, The H1-compact global attractor for two-dimensional convective Brinkman-Forchheimer equations in unbounded domains, Published online in Journal of Dynamical and Control Systems, 2021.

52. M. T. Mohan,  First-order necessary conditions of optimality for the optimal control of two-dimensional convective Brinkman-Forchheimer equations with state constraints, Published online in Optimization, 2021.

51. M. T. Mohan, Mild solutions for the stochastic generalized Burgers-Huxley equation, Published online in Journal of Theoretical Probability, 2021.

50. M. T. Mohan, Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations, Published online in Evolution Equations and Control Theory, 2021.

49. M. T. Mohan, Exponential inequalities for exit times for two dimensional stochastic tidal dynamics equations, Published online in Stochastic Analysis and Applications, 2021.

48. M. T. MohanL^p-solutions of deterministic and stochastic convective Brinkman-Forchheimer equations, Analysis and Mathematical Physics, 11, Article No. 164, 2021.

47. T. Biswas, S. Dharmatti, P. L. N. Mahendranath and M. T. MohanOn the stationary non-local Cahn-Hilliard-Navier-Stokes system: Existence, uniqueness and exponential stability, Published online in Asymptotic Analysis125 (1-2), 59-99, 2021.

46. M. T. MohanModerate deviation principle for the 2D stochastic convective Brinkman-Forchheimer equations, Published online in Stochastics93(7), 1052-1106, 2021.

45. S. Arora, M. T. Mohan and J. Dabas, Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces, Published online in Mathematical Control and Related Fields11(4), 857-883, 2021.

44. M. T. MohanFirst order necessary conditions of optimality for the two dimensional Tidal dynamics system, Mathematical Control and Related Fields11(4), 739-769, 2021.

43. P. Kumar, K. Kinra and M. T. MohanA local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluidsInverse Problems37(8) 085005, 2021.

42. M. T. MohanWentzell-Freidlin large deviation principle for stochastic convective Brinkman-Forchheimer equationsJournal of Mathematical Fluid Mechanics23, Article No. 62, 2021.

41. M. T. MohanThe time optimal control of two dimensional convective Brinkman-Forchheimer equations, Published online in Applied Mathematics and Optimization84, 3295-3338, 2021.

40. A. Khan, M. T. Mohan and R. Ruiz-Baier, Conforming, nonconforming and DG methods for the stationary generalized Burgers-Huxley equation, Journal of Scientific Computing, 88:52, 2021.

39. K. Ravikumar, M. T. Mohan and A. Anguraj, Approximate controllability of a non-autonomous evolution equation in Banach spacesNumerical Algebra, Control and Optimization11(3), 461-485, 2021.

38. M. T. Mohan and A. Khan, On the generalized Burgers-Huxley equation: Existence, uniqueness, regularity, global attractors and numerical studiesDiscrete and Continuous Dynamical Systems-Series B26(7), 3943-3988, 2021.

37. M. T. Mohan, A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order oneStochastics and Partial Differential Equations: Analysis and Computations9(2), 510-558, 2021.

36. S. Arora, M. T. Mohan and J. Dabas, Approximate controllability of the non- autonomous impulsive evolution equation with state-dependent delay in Banach spaces, Nonlinear Analysis: Hybrid Systems39(2), 100989 (23 pages), 2021.

35. T. Biswas, S. Dharmatti and M. T. Mohan, Second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn-Hilliard-Navier-Stokes equationsNonlinear Studies28(1), 29-43, 2021.

34. M. T. Mohanp-almost Hadamard Matrices and λ-planes, Published online in Journal of Algebraic Combinatorics, 2020.

33. S. Doboszczak, M. T. Mohan and S. S. Sritharan, Pontryagin maximum principle for the optimal control of linearized compressible Navier-Stokes equations with state constraints, Accepted in Evolution Equations and Control Theory, 2020.

32. M. T. Mohan, Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with “fading memory”, Published online in Evolution Equations and Control Theory, 2020.

31. S. Singh, S. Arora, M. T. Mohan and J. Dabas, Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces, Published online in Evolution Equations and Control Theory, 2020.

30. A. Haseena, M. Suvinthra, M. T. Mohan and K. Balachandran, Moderate deviations for stochastic Tidal dynamics equations with multiplicative Gaussian noise, Published online in Applicable Analysis, 2020.

29. M. T. Mohan, Dynamic programming and feedback analysis of the two dimensional Tidal dynamics system, Accepted in ESAIM: Control, Optimisation and Calculus of Variations, 26, Paper No. 109, 43 pp., 2020.  

28. S. Arora, S. Singh, J. Dabas and M. T. Mohan, Approximate controllability of semilinear impulsive functional differential systems with nonlocal conditions, IMA Journal of Mathematical Control and Information, 37(4), 1070-1088, 2020.

27. T. Biswas, S. Dharmatti and M. T. Mohan, Pontryagin’s Maximum Principle and second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn-Hilliard-Navier-Stokes equations,  Analysis, International mathematical journal of analysis and its applications40(3), 127-150, 2020.

26. T. Biswas, S. Dharmatti and M. T. Mohan, Maximum principle for some optimal control problems governed by 2D nonlocal Cahn-Hillard-Navier-Stokes equations, Journal of Mathematical Fluid Mechanics, 22, Article No. 34, 1-42, 2020. 

25. M. T. Mohan, Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one, Stochastic Processes and their Applications, 130(8), 4513--4562, 2020.

24. M. T. Mohan, Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations, Discrete and Continuous Dynamical Systems-Series B, 25(9), 3393-3436, 2020.

23. M. T. Mohan, On the two dimensional tidal dynamics system: stationary solution and stability, Applicable Analysis, 99(10), 1795-1826, 2020.

22. M. T. Mohan, An extension of the Beale-Kato-Majda criterion for the 3D NavierStokes equation with hereditary viscosity, Pure and Applied Functional Analysis, 5(2), 407-425, 2020. Invited article in the special Issue on Partial Differential Equations and Applications in memory of Professor Aizik Volpert.

21. M. T. Mohan, On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations, Evolution Equations and Control Theory, 9(2), 301-339, 2020.

20. M. T. Mohan, Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: Existence, uniqueness, exponential stability and invariant measures, Stochastic Analysis and Applications, 38(1), 1-61, 2020.

19. K. Yamazaki and M. T. Mohan, Well-posedness of Hall-magnetohydrodynamics System forced by Levy noise, Stochastics and Partial Differential Equations: Analysis and Computations, 7(3), 331-378, 2019.

18. M. T. Mohan and S. S. Sritharan, Stochastic Navier-Stokes equation perturbed by Levy noise with hereditary viscosity, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22(1), 1950006 (32 pages), 2019.

17. K. T. Arasu and M. T. Mohan, Entropy of orthogonal matrices and minimum distance orthostochastic matrices from the uniform van der Waerden matrices, Discrete Optimization, 31(1), 115-144, 2019.

16. M. T. Mohan, K. Sakthivel and S. S. Sritharan, Ergodicity for the 3D stochastic Navier-Stokes equations perturbed by Levy Noise, Mathematische Nachrichten, 292(5), 1056–1088, 2019.

15. M. T. Mohan, On some p-almost Hadamard matrices, Operators and Matrices, 13(1), 253-281, 2019.

14. M. T. Mohan, Global strong solutions of the stochastic three dimensional inviscid simplified Bardina turbulence model, Communications on Stochastic Analysis (COSA), 12(3), 249-270, 2018.

13. K. T. Arasu and M. T. Mohan, Optimization problems with orthogonal matrix constraints, Numerical Algebra, Control and Optimization (NACO), 8(4), 413-440, 2018.

12. M. T. Mohan and S. S. Sritharan, Stochastic quasilinear symmetric hyperbolic system perturbed by Levy noise, Pure and Applied Functional Analysis, 3(1), 137-178, 2018. Invited article in special issue on Control, Optimization and PDE dedicated to Professor Viorel Barbu on the occasion of his 75th birthday.

11. S. Doboszczak, M. T. Mohan and S. S. Sritharan, Existence of optimal controls for compressible viscous flow, Journal of Mathematical Fluid Mechanics, 20(1), 199-211, 2018.

10. U. Manna, M. T. Mohan and S. S. Sritharan, Stochastic non-resistive magnetohydrodynamic system with Levy noise, Random Operators and Stochastic Equations, 25(3), 155-194, 2017.

9. M. T. Mohan and S. S. Sritharan, Lp−solutions of stochastic Navier-Stokes equations subject to Levy noise with Lm(Rm) initial data, Evolution Equations and Control Theory (EECT), 6(3), 409-425, 2017.

8. M. T. Mohan and S. S. Sritharan, Stochastic quasilinear evolution equations in UMD Banach spaces, Mathematische Nachrichten, 290(13), 1971-1990, 2017.

7. M. T. Mohan and S. S. Sritharan, Ergodic control of stochastic Navier-Stokes equation with Levy noise, Communications on Stochastic Analysis (COSA), 10(3), 389-404, 2016.

6. M. T. Mohan and S. S. Sritharan, Stochastic Euler equations of fluid dynamics with Levy noise, Asymptotic Analysis, 99(1–2), 67-103, 2016.

5. M. T. Mohan and S. S. Sritharan, New methods for local solvability of quasilinear symmetric hyperbolic system, Evolution Equations and Control Theory (EECT), 5(2), 273-302, 2016.

4. U. Manna, M. T. Mohan and S. S. Sritharan, Stochastic Navier-Stokes equations in unbounded channel domains, Journal of Mathematical Fluid Mechanics, 17, 47-86, 2015.

3. U. Manna and M. T. Mohan, Two-dimensional magnetohydrodynamic systems with jump processes: Well posedness and invariant measures, Communications on Stochastic Analysis (COSA), 7(1), 153-178, 2013.

2. U. Manna and M. T. Mohan, Large deviations for the shell model of turbulence perturbed by Levy noise, Communications on Stochastic Analysis (COSA), 7(1), 39-63, 2013.

1. U. Manna and M. T. Mohan, Shell model of turbulence perturbed by Levy noise, Nonlinear Differential Equations and Applications (NoDEA), 18, 615-648, 2011.

Conference Proceedings:

1. M. T. Mohan and S. S. Sritharan, Frequency truncation method for quasilinear symmetrizable hyperbolic systems, Proceeding of ICMAA-2016, Journal of Analysis, 28(1), 117-140, 2020.

Honors And Awards
Honors
Indian Mathematical Society
2021
A.M. Mathai Award -2021
Department of Science and Technology (DST), INDIA
2017
INSPIRE (Innovation in Science Pursuit for Inspired Research) Faculty Award
Indian Statistical Institute (ISI), Bangalore, INDIA
2017
Visiting Scientist Fellowship
National Academy of Sciences of United States of America, USA
2015
National Research Council (NRC) Postdoctoral Fellowship under Research Associate Programs (RAP)
National Board of Higher Mathematics(NBHM), INDIA
2015
NBHM Postdoctoral Fellowship
Council of Scientific and Industrial Research(CSIR), INDIA
2014
Shyama Prasad Mukherjee (SPM) Fellowship
Council of Scientific and Industrial Research(CSIR), INDIA
2008
CSIR Junior Research Fellowship (JRF)
Kerala University, INDIA
2006
Sir T. Madhava Rao Gold Medal for securing first rank in BSc Mathematics
MemberShips
Society of Industrial and Applied Mathematics (SIAM)
01 Jan 2021 - 31 Dec 2023
Member
Indian Mathematical Society (IMS)
14 Nov 2021 - Present
Life time member
Indian Society of Industrial and Applied Mathematics (ISIAM), India
31 Aug 2020 - Present
Life time member
Teaching Engagements
Teaching Engagements
Theory of Ordinary Differential Equations ( MAN501/511 )
Autumn
Stochastic Partial Differential Equations ( MAN 914 )
Autumn
Sobolev Spaces and its Applications ( MAN 913 )
Spring
Integral Equations and Calculus of Variations ( MAN 533 )
Spring
Probability and Statistics ( MAN 006 )
Spring
Ordinary and Partial Differential Equations ( MAN 205 )
Autumn
Mathematics I ( MAN 001 )
Autumn
Students
SuperVisions
Control and Stochastic Analysis of Fluid Dynamic Models
01 Jan 2018 - Present
Other Supervisors: , Scholar: Kush Kinra
Control and Stochastic Analysis of Fluid Dynamic Models
01 Jan 2019 - Present
Other Supervisors: , Scholar: Ankit Kumar
Inverse Problems and its Applications to Partial Differential Equations
01 Jan 2019 - Present
Other Supervisors: , Scholar: Pardeep Kumar
Deterministic and Stochastic Optimal Control Theory
25 Jul 2021 - Present
Other Supervisors: , Scholar: Sagar Gautam
Control Theory
01 Jul 2018 - Present
Other Supervisors: Prof Jaydev Dabas, Department of Applied Sciences, IIT Roorkee, Scholar: Sumit Arora (Co-supervisor)
Associate Scholars
Kush Kinra
Indian Institute of Technology Roorkee
Control and Stochastic Analysis of Fluid Dynamic Models
Ankit Kumar
Indian Institute of Technology Roorkee
Control and Stochastic Analysis of Fluid Dynamic Models
Pardeep Kumar
Indian Institute of Technology Roorkee
Inverse Problems and its Applications to Partial Differential Equations
Sagar Gautam
Indian Institute of Technology Roorkee
Deterministic and Stochastic Optimal Control Theory
Sumit Arora
Indian Institute of Technology Roorkee
Control Theory (Co-supervisor)
Miscellaneous
Events
Summer Training Programme in Mathematics (STPM-2021)
29 May 2021 - 31 May 2021
First conference on Partial Differential Equations in Fluid Mechanics (online),
16 Jun 2021 - 18 Jun 2021
National (online) Workshop on Stochastic Differential Equations and Applications
10 Mar 2021 - 13 Mar 2021
National Conference on Partial Differential Equations and Applications
05 Mar 2021 - 06 Mar 2021
Lecture Series on Stochastic Differential Equations
02 Mar 2020 - 04 Mar 2020
Stochastic Quasilinear Evolution Equations in UMD Banach Spaces
01 Jan 2017 - Present
Lecture Series on Stochastic Differential Equations
01 Jan 2017 - Present
Some Recent Progress in Quasilinear Hyperbolic Systems: New Local Solvability Methods and Stochastic Analysis
01 Jan 2016 - Present
Lecture Series on Large Deviations
01 Jan 2014 - Present
Stochastic Non-Resistive Magnetohydrodynamic System with Levy Noise
01 Jan 2015 - Present
Visits
Indian Statistical Institute, Bangalore
2019-01-01
Research
Wright State University, Dayton, USA
2017-01-01
Research
Indian Institute of Space Sciences and Technology (IIST), INDIA
2017-01-01
Research
Bergische Universitat Wuppertal, Germany
2014-01-01
Research