Indian Institute of Space Science and Technology
Declared as Deemed to be University under Section 3 of the UGC Act, 1956An autonomous institute under Department of Space, Govt. of India
National Academy of Sciences – NRC Research Associate, Naval Postgraduate School, California, U.S.A., Jul. 2010 – Jun. 2012.
Brain Korea 21-Postdoctoral Fellow, Department of Mathematics, Yonsei University, South Korea, Sep. 2008 – Jun. 2010.
Graduate & Doctoral Studies:
Ph.D.(Mathematics), Bharathiar University, Coimbatore, India, 2008
M.Sc.(Mathematics), Bharathiar University, Coimbatore, India, 2003
B.Sc.(Mathematics), NGM College, Pollachi, India, 2001
Course Offered
UG Level Courses:
Calculus
Integral Transforms, PDE and Calculus of Variations
Probability and Statistics
Ph.D. Level Courses:
Mathematical Methods
Advanced Functional Analysis
Distribution Theory and Sobolev Spaces
Partial Differential Equations
Experience
Assistant Professor, Indian Institute of Space Science and Technology, Trivandrum, India, Oct 2016-till date
DST Inspire Faculty, Indian Institute of Space Science and Technology, Trivandrum, India, Jul 2012 – Oct 2016.
Life Member, Indian Society of Industrial and Applied Mathematics (ISIAM), India
Member, American Mathematical Society, U.S.A., 2012.
Reviewer for Journals: J. Opti. Th. App., App. Math. Model., Inter. J. Control, J. Comp. App. Math., etc.
Reviewer for Mathematical Reviews (MathSciNet), American Mathematical Society, U.S.A., 2010.
Junior Research Fellow, NBHM (National Board for Higher Mathematics) Project, India, Apr 2007 – Aug 2008.
Member, The Indian Science Congress Association, 2008.
Research Work / Area
Partial Differential Equations (PDEs)
Stochastic PDEs
Optimal Control Theory
Inverse Problems
Fluid Dynamics
Office of Naval Research Global Award, MIDDX, UK to visit Naval Postgraduate School, California, USA, May 2013.
INSPIRE Faculty Award, Department of Science and Technology, India, Dec. 2011.
Research Associateship Award, National Academy of Sciences/National Research Council, U.S.A., May 2010.
Brain Korea 21-Postdoctoral Award for Mathematical Sciences, South Korean Government, South Korea, Aug. 2008.
University Gold Medal(1st rank holder), M.Sc., Bharathiar University, India, 2003.
Dr.K.M.Marimuthu Endowment Gold Medal, M.Sc., Bharathiar University, India, 2003.
Short visit to Naval Postgraduate School, California, USA, Dec. 8, 2013 – Jan. 8, 2014.
Short Visit to Chinese Academy of Sciences, Beijing, China, Apr. 11-25, 2010.
Attented the Summer School ”De Ludo Aleae” on Probability and Homogenization, University of Rome, Italy, Sep.10-16, 2007.
UGC-SAP-PhIV Visiting Fellow, Indian Institute of Science, Bangalore, Feb.1-Mar.31, 2007.
Short Term Visitor, IISc-TIFR, Bangalore, Apr.1- Jul.10, 2006.
IISc Mathematics Initiative Visitor, Indian Institute of Science, Bangalore, Sep.10-Nov.10, 2006.
Short Term Visitor, Tata Institute for Fundamental Research, Bangalore, May 1-31, 2005.
Conference/Symposium Organized:
SERB/DST and NBHM sponsored National Conference on Stochastic Differential Equations and Applications, IIST, Trivandrum, June 6-7, 2019. (joint with Dr.Manil T. Mohan, IIT Roorkee)
NBHM Sponsored Advanced Workshop on Partial Differential Equations and Applications, Central University of Tamilnadu, Thiruvarur, May 29-June 11, 2017. (joint with Dr.N.Baranibalan)
IIST Sponsored Young Talent Nurture Program - 2017, IIST, Trivandrum, May 22- June 03, 2017(joint with Dr.Kaushik Mukherjee)
NBHM Sponsored National Workshop on Advanced Analysis and Differential Equations, Periyar University, Salem, June 9-17, 2016. (joint with Dr.S.Karthikeyan)
Undergraduate Level Training Programme on Differential Equations, NPDE-TCA, IIST, Trivandrum, India, May 18 - June 7, 2016.
NBHM sponsored International Conference on Nonlinear Dynamical Systems, in Commemoration of Prof.Balachandran's 60th Birthday, Bharathiar University, Coimbatore, March 24- 26, 2016.
Advanced Workshop on Mathematical Theory of Control and Numerics (MTCN-2012) under National Program on Differential Equations: Theory, Computation & Applications (NPDE-TCA, IIT-Bombay), IIST, Trivandrum, India, Nov. 21-30, 2012.
Ergodicity of Stochastic Navier-Stokes Equations with Levy Noise, International Congress on Industrial and Applied Mathematics(ICIAM 2019), Valencia, Spain, July 15-19, 2019.
Inverse Problem for the Generalized Korteweg -de Vries Equation, International Conference on Numerical Analysis, Computing and Applications, Mohandas College of Engineering and Technology, Trivandrum, Dec. 19, 2018.
Dynamic Programming of Stochastic Burgers Equation with Levy Noise, International Congress of Mathematicians (ICM-2018), Rio de Janeiro, Brazil, Aug. 1-9, 2018.
Attended the International Congress of Mathematicians (ICM-2014), Seoul, South Korea, Aug. 13-21, 2014.
New Models on Sonar Equation and Calculation of Probability of Detection, 10th Security Workshop, Naval Postgraduate School, Monterey, U.S.A., May 21-23, 2012.
Martingale Solutions for Stochastic Navier-Stokes Equations with Ito-Levy Noise, SIAM Southeastern Atlantic Section Conference, University of Alabama, Huntsville, U.S.A., Mar. 24-25, 2012.
Viscous Flow Past Moving and Rotating Bodies: Stochastic Analysis and Control, SIAM Conference on Control and Its Applications, Baltimore, U.S.A., Jul. 25-27, 2011.
Inverse Problem of Reconstructing a Diffusion Coefficient in the Phase Field System, Chinese Academy of Sciences, Beijing, China, Apr.11-25, 2010.
Null Controllability of a Reaction-Diffusion System by One Control Force, Joint Meeting of KMS-AMS, Ewha Woman's University, Seoul, Korea, Dec.16-20, 2009.
Controllability of Generalized Block-Scholes Equations, International Conference on Scientific Computation and Differential Equations, Beijing, China, May 25-29, 2009.
Carleman Type Estimate and Exact Controllability to the Trajectories of a Parabolic Equation with Memory, Summer School “De Ludo Aleae” on Probability and Homogenization, University of Rome, Italy, Sep10-16, 2007.
Carleman Estimate for Parabolic Equation with Memory Effects and Exact Controllability, International Congress on Industrial and Applied Mathematics (ICIAM-2007), ETH-University of Zurich, Switzerland, Jul.16-20,2007.
Talks in National Meetings:
Webinar on Optimal Control of Partial Differential Equations and Applications, Reva University, Bangalore, July 16, 2020.
Webinar on Optimal Control of Partial Differential Equations and Applications, IIIT-Kottayam, July 3, 2020.
Webinar on Differential Equations and Applications to Optimal Control Problems, Kongunadu Arts & Science College, Coimbatore, June 4, 2020.
Webinar on Some Aspects of Solutions of Partial Differential Equations, Nirmala College for Women, Coimbatore, May 26, 2020.
Inverse Problem for a Cahn-Hilliard Type System by Boundary Measurements, National Conference on PDEs and Applications, Periyar University, Salem, March 5-6, 2020.
Four lectures on Stochastic Differential Equations, Periyar University, Salem, March 3-4, 2020.
Five lectures on Weak Solutions for Elliptic Equations, Advanced Workshop on PDEs and Applications, Central University of Kerala, December 22-24, 2019.
Ergodicity of Navier-Stokes Equations with Levy Noise, International Conference in conjunction with ISIAM-2019, Bharathiar University, Coimbatore, December 5-7, 2019.
Ergodicity of Stochastic Navier-Stokes Equations, National Conference on Differential Equations and Dynamical Systems, NIT Puducherry, April 5-6, 2019.
Trajectory Controllability and Stability of Swift-Hohenberg Equation, National Conference on Control and Inverse Problems, Central University of Tamilnadu, Thiruvarur, Mar. 1-2, 2019.
Reconstruction of a Coefficient in the Inverse Problem for the Generalized Korteweg - deVries Equation, National Conference on Recent Developments in Mathematics, Govt Arts College, Coimbatore, Feb. 22, 2019.
Five Lectures on Optimal Control of Differential Equations, IIT Mandi, June 13-20, 2018.
Three Lectures on Applications of Differential Equations to Optimal Control Problems, NCM sponsored Instructional School for Teachers, Indian Institute of Space Science and Technology (IIST), Trivandrum, May 14 -26, 2018.
Four Lectures on Elliptic PDEs, UGC Sponsored National Workshop on Partial Differential Equations, Periyar University, Salem, March 23-25, 2018.
Ergodicity of Stochastic Navier-Stokes Equations, 83rd Annual Conference of IMS- an International Meet, Sri Venkateswara University, Tirupati, Dec. 12-15, 2017
Delivered a talk on Differential Equations and Applications, PKR Arts College for Women, Gobi, Tamilnadu, July 14, 2017.
Six lectures on Elliptic PDEs, Advanced Workshop on Partial Differential Equations and Applications, Central University of Tamilnadu, Thiruvarur, May 29-June 11, 2017.
Four Lectures on Real Analysis, Young Talent Nurture Program (YTN-2017), Indian Institute of Space Science and Technology (IIST), Trivandrum, May 22 - June 03, 2017.
Optimal Control of Stochastic Navier-Stokes Equations Forced by Levy Noise, National Conference on Recent Advances in Theoretical and Computational Methods for PDEs, Dr.N.G.P. Arts and Science College, Coimbatore, Jan. 7, 2017.
Control and Inverse Problems of Differential Equations, National Conference on Differential Equations and its Applications, P.K.R. Arts college for Women, Gobi, Jan 6, 2017.
On the Dynamic Programming Approach for the Optimal Control of Stochastic Navier-Stokes Equations, National Conference on Computational and Theoretical PDEs, NIT Goa, Oct 5-7, 2016.
Six Lectures on Existence, Uniqueness and Regularity of Solutions for Partial Differential Equations, National Workshop on Advanced Analysis and Differential Equations, Periyar University, Salem, Jun 9-17, 2016.
Five Lectures on Functional Analysis, Young Talent Nurture Program (YTN-2016), Indian Institute of Space Science and Technology (IIST), Trivandrum, May 24 - June 06, 2016.
Calculus of Variations and Optimal Control Theory, National Conference on Recent Developments in Differential Equations and their Applications, PSGR Krishnammal College for Women, Coimbatore, Mar 4-5, 2016.
Determination of a Coefficient in KdV Equation by Optimization Method, 19th Ramanujan Symposium on Recent Trends in Nonlinear Partial and Fractional Differential Equations, University of Madras, Chennai, Mar 3, 2016.
Three Lectures on Optimal Control Theory of Differential Equations, Periyar University, Salem, Feb. 29 - Mar 2, 2016.
Two Lectures on Control and Inverse Problems, National Conference on Control and Inverse Problems, Central University of Tamilnadu, Thiruvarur, Feb. 25-26, 2016.
Carleman estimates and Controllability of Heat Equation, Advanced Level Workshop on Controllability of Heat and Wave Equation, IIT, Mandi, Nov. 16-20, 2015.
Four Lectures on Complex Analysis, Young Talent Nurture Program (YTN-2015), Indian Institute of Space Science and Technology (IIST), Trivandrum, May 25 - June 07, 2015.
Optimal Control Theory: Maximum Principle and Dynamic Programming, National Conference on PDEs and Applications, Bharathiar University, Coimbatore, Mar. 26-27, 2015.
On the Solvability of Stochastic Navier-Stokes Equations with Levy Noise, National Conference on PDEs and Applications, Bharathiar University, Coimbatore, Jan.30-31,2014.
A Little Journey to the Land of Mathematics, DST Inspire Camp, Noorul Islam University, Kumaracovil, Jul. 18, 2013.
Some Aspects of Solutions of Partial Differential Equations, Periyar University, Salem, Feb. 22, 2013.
Martingale Solutions for Stochastic Navier-Stokes Equations with Levy Noise, Winter School on Stochastic Analysis and Control of Fluid Flow, Indian Institute of Science Education and Research (IISER), Trivandrum, Dec 3-20, 2012.
Lectures on Calculus of Variations and Optimal Control Theory, Advanced workshop on Mathematical Theory of Control and Numerics, Indian Institute of Space Science and Technology (IIST), Trivandrum, Nov. 21-30, 2012.
Martingale Solutions for Stochastic Navier-Stokes Equations with Ito-Levy Noise, Indian Statistical Institute, Delhi Centre, Delhi, Nov. 23, 2011.
Solvability of Incompressible Navier-Stokes Equations in Bounded Domains, Seminar on Differential Equations and Dynamical Systems, SRMKV College, Coimbatore, Feb. 18-19, 2011.
Exact Controllability to the Trajectory of a Parabolic Equation with Memory, Proceedings of the National Conference on Applications of Partial Differential Equations, Bharathiar University, Coimbatore, Jan.24-25, 2007.
Carleman estimate for a parabolic equation with memory and exact controllability, National Conference on differential Equations and Applications, Periyar University, Salem, Sep.28-29, 2006.
On a class of nonlinear parabolic integrodifferential control systems, Recent Trends in Nonlinear Differential equations and Dynamical Systems, P.S.G. College of Arts & Science, Coimbatore, Mar.24-25, 2006.
Carleman estimate and exact controllability of partial integrodifferential equations, XIII-Ramanujan Symposium on Nonlinear Differential Equations, The Ramanujan Institute for Advanced Study in Mathematics, Chennai, Feb.8-10, 2006.
Inverse problem for the generalized K-dV equation, Journal of Inverse and Ill-posed Problems, in press(with A. Arivazhagan and N. Barani Balan).
Inverse problem for a Cahn–Hilliard type system modeling tumor growth, Applicable Analysis, in press(with A. Arivazhagan and N. Barani Balan).
Lipschitz stability of an inverse problem for the Kawahara equation with damping, AIMS Mathematics, 5 (2020), 4529-4545 (with A. Arivazhagan and N. Barani Balan).
Ergodicity for the 3D stochastic Navier-Stokes equations perturbed by Levy noise, Mathematische Nachrichten, 292 (2019), 1056-1088. (with Manil T. Mohan and S.S. Sritharan)
An inverse problem for the K-dV equation with Neumann boundary measured data, Journal of Inverse and Ill-posed Problems, 26 (2018), 133-151 (with A. Hasanov).
Identification of an Unknown Coefficient in KDV Equation from Final Time Measurement, Journal of Inverse and Ill-posed Problems, 24 (2016), 469-487 (with S. Gnanavel, A. Hasanov, R.K. George).
Martingale Solutions for Stochastic Navier-Stokes Equations Driven by Levy Noise,Evolution Equations and Control Theory,1 (2012), 355-392 (with S.S.Sritharan).
Inverse Problem for the Reaction Diffusion System by Optimization Method, Applied Mathematical Modelling,35 (2011), 571-579 (with S.Gnanavel, N.Baranibalan and K.Balachandran).
Null Controllability of a Nonlinear Diffusion System in Reactor Dynamics, Kybernetika, 46 (2010), 890-906 (with K.Balachandran, J.-Y.Park and G. Devipriya).
Controllability and Hedgibility of Black-Scholes Equations with N- stocks, Acta Applicandae Mathematicae, 111 (2010), 339-363 (with J.H. Kim).
Controllability of a Reaction-Diffusion System Describing Predator-Prey Model, Numerical Functional Analysis and Optimization, 31 (2010), 831-851 (with G.Devipriya, K.Balachandran and J.H.Kim).
Reconstruction of two time independent coefficients in an inverse problem for the phase field system, Nonlinear Analysis: Theory, Methods and Applications, 72 (2010), 2841-2851.(with N.Baranibalan, K.Balachandran and J.H.Kim).
Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system, Acta Applicandae Mathematicae, 111 (2010), 129-147 (with N.Baranibalan, J.H.Kim and K.Balachandran).
Exact null controllability of a semilinear parabolic equation arising in finance, Nonlinear Analysis: Hybrid Systems, 3 (2009), 565-577 (with G.Devipriya, K.Balachandran and J.H.Kim).
Inverse problems for the phase-field system with one observation, Applicable Analysis, 88 (2009), pp.529-545 (with N.Baranibalan, K.Balachandran and J.H.Kim).
On exact null controllability of Black-Scholes equation”, Kybernetika, 44 (2008), 685-704 (with K.Balachandran, R.Sowrirajan and J.H.Kim).
Uniqueness and stability in inverse parabolic equations with memory, Nonlinear Analysis: Hybrid Systems, 2 (2008), 1077-1088 (with N.Baranibalan and K.Balachandran).
Exact controllability of nonlinear diffusion equations arising in reactor dynamics, Nonlinear Analysis: Real World Applications, 9(2008), 2029-2054(with K.Balachandran and S.S.Sritharan).
On a class of nonlinear parabolic control systems with memory effects, International Journal of Control, 81 (2008), pp.764-777 (with K.Balachandran and B.R.Nagaraj).
Controllability and observability theory of certain parabolic integrodifferential equations, Computers and Mathematics with Applications, 52 (2006), 1299- 1316(with K.Balachandran and S.S.Sritharan).