Manil T. Mohan - Department of Mathematics,Indian Institute of Technology Roorkee
Manil T. Mohan
Manil T. Mohan Assistant professor maniltmohan@ma.iitr.ac.in 911332285319
Areas of Interest
  • Stochastic (Partial) Differential Equations, Solvability, Large Deviation Theory, Ergodicity, Stochastic Stability, Partial Differential Equations , Solvability and Stability of Parabolic and Hyperbolic Systems, 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
Professional Background
FromPeriodPositionOrganisation
2018-07-23OngoingAssistant ProfessorIndian Institute of Technology Roorkee-IIT Roorkee, INDIA
2018-05-012 months 21 daysINSPIRE FacultyIndian Institute of Technology Roorkee-IIT Roorkee, INDIA
2017-08-015 months 30 daysVisiting ScientistIndian Statistical Institute (ISI), Bangalore, INDIA
2015-06-021 year 11 months 30 daysNational Research Council (NRC) Postdoctoral FellowAir Force Institute of Technology (AFIT), USA
2015-01-014 months 30 daysNBHM Postdoctoral FellowIndian Institute of Science Education and Research, Thiruvananthapuram (IISER-TVM), INDIA
2009-06-011 month 30 daysFIP Substitute LecturerUniversity College, Thiruvananthapuram, INDIA
2008-10-282 months 17 daysGuest LecturerMahatma Gandhi College (MG College), Thiruvananthapuram, INDIA
Honors and Awards
AwardInstituteYear
INSPIRE (Innovation in Science Pursuit for Inspired Research) Faculty AwardDepartment of Science and Technology (DST), INDIA2017
Visiting Scientist FellowshipIndian Statistical Institute (ISI), Bangalore, INDIA2017
National Research Council (NRC) Postdoctoral Fellowship under Research Associate Programs (RAP)National Academy of Sciences of United States of America, USA2015
NBHM Postdoctoral FellowshipNational Board of Higher Mathematics(NBHM), INDIA2015
Shyama Prasad Mukherjee (SPM) FellowshipCouncil of Scientific and Industrial Research(CSIR), INDIA2014
CSIR Junior Research Fellowship (JRF) Council of Scientific and Industrial Research(CSIR), INDIA2008
Sir T. Madhava Rao Gold Medal for securing first rank in BSc MathematicsKerala University, INDIA2006
Educational Details
DegreeSubjectUniversityYear
PhDMathematicsIndian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), INDIA2014
MScMathematicsMar Ivanios College, Kerala University, INDIA2008
BScMathematicsMar Ivanios College, Kerala University, INDIA2006
Memberships
  • Indian Society of Industrial and Applied Mathematics (ISIAM), INDIA, Life time member
Teaching Engagements
TitleCourse CodeClass NameSemester
Theory of Ordinary Differential EquationsMAN501/511Integrated MSc Applied Mathematics/MSc MathematicsAutumn
Stochastic Partial Differential EquationsMAN 914Pre-PhDAutumn
Sobolev Spaces and its ApplicationsMAN 913Pre-PhDSpring
Integral Equations and Calculus of VariationsMAN 533First year MSc MathematicsSpring
Probability and StatisticsMAN 006BTech First YearSpring
Ordinary and Partial Differential EquationsMAN 205Integrated MSc Applied MathematicsAutumn
Mathematics IMAN 001BTech First YearAutumn
Research Scholar Groups
Scholar NameInterest
Kush KinraControl and Stochastic Analysis of Fluid Dynamic Models
Ankit KumarControl and Stochastic Analysis of Fluid Dynamic Models
Pardeep KumarInverse Problems and its Applications to Partial Differential Equations
Sumit Arora Control Theory
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Date
Control and Stochastic Analysis of Fluid Dynamic ModelsKush KinraO2018-01
Control and Stochastic Analysis of Fluid Dynamic ModelsAnkit Kumar O2019-01
Inverse Problems and its Applications to Partial Differential EquationsPardeep Kumar O2019-01
Control Theory (co-supervisor)Sumit Arora O2018-01
Visits to outside institutions
Institute VisitedPurpose of VisitDate
Indian Statistical Institute, BangaloreResearch2019-01-01
Wright State University, Dayton, USAResearch 2017-01-01
Indian Institute of Space Sciences and Technology (IIST), INDIAResearch 2017-01-01
Bergische Universitat Wuppertal, Germany Research 2014-01-01
Invitations
TopicOrganistaionDate
Stochastic Quasilinear Evolution Equations in UMD Banach SpacesSpring Western American Mathematical Society Meeting, Washington State University, WA, USA2017-01
Some Recent Progress in Quasilinear Hyperbolic Systems: New Local Solvability Methods and Stochastic Analysis1st Northeastern Analysis Meeting (NEAM-2016), The College at Brockport, Brockport, New York, USA 2016-01
Stochastic Non-Resistive Magnetohydrodynamic System with Levy NoiseWorkshop on Stochastic PDEs, Department of Mathematics, University of Pittsburgh, PA, USA2015-01
Special Lectures Delivered
TitlePlaceDate
Lecture Series on Stochastic Differential EquationsDepartment of Mathematics, Bharatiar University, INDIA2017-01
Lecture Series on Large DeviationsDepartment of Mathematics and Natural Sciences, Bergische Universitat Wuppertal, Germany2014-01
Refereed Journal Papers

40. 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.

39. S. Arora, M. T. Mohan and J. Dabas, Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces, Accepted in Mathematical Control and Related Fields, 2020.

38. T. Biswas, S. Dharmatti, P. L. N. Mahendranath and M. T. Mohan, On the stationary non-local Cahn-Hilliard-Navier-Stokes system: Existence, uniqueness and exponential stability, Accepted in Asymptotic Analysis, 2020.

37. M. T. Mohan, Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory", Accepted in Evolution Equations and Control Theory, 2020.

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

35. M. T. Mohan, First order necessary conditions of optimality for the two dimensional Tidal dynamics system, Accepted in Mathematical Control and Related Fields, 2020.

34. T. Biswas, S. Dharmatti and M. T. Mohan, Second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn-Hilliard-Navier-Stokes equations, Accepted in Nonlinear Studies, 2020.

33. K. Ravikumar, M. T. Mohan and A. Anguraj, Approximate controllability of a non-autonomous evolution equation in Banach spaces, Published online in Numerical Algebra, Control and Optimization, 2020.

32. M. T. Mohan and A. Khan, On the generalized Burgers-Huxley equation: Existence, uniqueness, regularity, global attractors and numerical studies, Published online in Discrete and Continuous Dynamical Systems-Series B, 2020.

31. M. T. Mohan, A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one, Accepted in Stochastics and Partial Differential Equations: Analysis and Computations, 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, 2020.

28. S. Arora, S. Singh, J. Dabas and M. T. Mohan, Approximate controllability of semilinear impulsive functional differential systems with nonlocal conditions, Published online in IMA Journal of Mathematical Control and Information, 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.

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