Prof Utpal Manna
Professor (Maths)
  +91 (0)471 - 277 8136
  manna.utpal@iisertvm.ac.in

Journal Publications

  1. Wong-Zakai approximation  for the Stochastic Landau-Lifshitz-Gilbert equations with anisotropy energy. Utpal Manna, Debopriya Mukherjee and Akash A Panda. Published online in Journal of Mathematical Analysis and Applications (2019). https://doi.org/10.1016/j.jmaa.2019.123384
  2. Large Deviations for Stochastic Nematic Liquid Crystals driven by Multiplicative Gaussian Noise. Zdzislaw Brze ́zniak, Utpal Manna and Akash A Panda. Published online in Potential Analysis (2019). https://doi.org/10.1007/s11118-019-09788-6 .
  3. Weak martingale solutions for the stochastic nonlinear Schrodinger equation driven by pure jump noise. Fabian Hornung, Zdzislaw Brze ́zniak and Utpal Manna. Published online in Stochastics and Partial Differential Equations:Analysis and Computations (2019). https://doi.org/10.1007/s40072-019-00141-x.
  4. Higher Order Regularity and Blow-up Criterion for Semi-dissipative and Ideal Boussinesq Equations. Utpal Manna and Akash A Panda. Journal of Mathematical Physics, Volume 60, Issue 4 (2019), 041503, 22 pp. https://doi.org/10.1063/1.5048839.
  5. Weak Solutions of a Stochastic Landau-Lifshitz-Gilbert Equation Driven by Pure Jump Noise. Zdzislaw Brze ́zniak and Utpal Manna. Published online in Communications in Mathematical Physics (2019). https://doi.org/10.1007/s00220-019-03359-x.
  6. Wong-Zakai approximation for the Stochastic Landau-Lifshitz-Gilbert equations. Zdzislaw Brze ́zniak, Utpal Manna and Debopriya Mukherjee. Journal of Differential Equations, Volume 267, Issue 2 (2019), 776–825. https://doi.org/10.1016/j.jde.2019.01.025.
  7. Martingale solutions of Nematic Liquid Crystals driven by Pure Jump Noise in the Marcus Canonical Form. Zdzislaw Brze ́zniak, Utpal Manna and Akash A panda. Journal of Differential Equations, Volume 266, Issue 10 (2019), 6204–6283. https://doi.org/10.1016/j.jde.2018.11.001.
  8. Stochastic Landau-Lifshitz-Gilbert Equation with Anisotropy Energy Driven by Pure Jump Noise. Zdzislaw Brze ́zniak and Utpal Manna. Computers and Mathematics with Applications, Volume 77, Issue 6 (2019), 1503– 1512. https://doi.org/10.1016/j.camwa.2018.08.009.
  9. Stochastic Analysis and Control of Tidal Dynamics with Levy Noise. Pooja Agarwal, Utpal Manna and Debopriya Mukherjee. Applied Mathematics and Optimization, Volume 79, Issue 2 (2019), 327–396. https://doi.org/10.1007/s00245-017-9440-2.
  10. Optimal Relaxed Control of Hereditary Stochastic Evolution Equations with Levy Noise. Utpal Manna and Debopriya Mukherjee. Published online in ESAIM: Control, Optimisation and Calculus of Variations (2018), https://doi.org/10.1051/cocv/2018066.
  11. Strong Solutions of Stochastic Models for Viscoelastic Flows of Oldroyd Type. Utpal Manna and Debopriya Mukherjee. Nonlinear Analysis, Volume 165 (2017), 198–242.
  12. Stochastic Non-Resistive Magnetohydrodynamic System with Levy Noise. Utpal Manna, Manil T Mohan and Sivaguru S Sritharan. Random Operators and Stochastic Equations, Volume 25, Issue 3 (2017), 155–194.
  13. Stochastic Navier-Stokes Equations in Unbounded Channel Domains, Utpal Manna. Manil T Mohan and Sivaguru S Sritharan. Journal of Mathematical Fluid Mechanics, Volume 17, Issue 1 (2015), 47–86.
  14. Impacts of Water Supply Uncertainty and Storage on Irrigation Technology Adoption. Anik Bhaduri and Utpal Manna. Natural Resource Modeling, Volume 27, Issue 1 (2014), 1–24.
  15. Large Deviations for the Shell Model of Turbulence Perturbed by Levy Noise. Utpal Manna and Manil T Mohan. Communications on Stochastic Analysis, Volume 7, Number 1 (2013), 39–63.
  16. Two-dimensional Magneto-Hydrodynamic System with Jump Processes: Well Posedness and Invariant Measures. Utpal Manna and Manil T Mohan. Communications on Stochastic Analysis, Volume 7, Number 1 (2013), 153– 178.
  17. Climate Change and Cooperation in Transboundary Water Sharing: An Application of Stochastic Stackelberg Differential Games in Volta River Basin. A. Bhaduri, U. Manna, E. Barbier and J. Liebe. Natural Resource Modeling, Volume 24, Issue 4 (2011), 409–444. DOI: 10.1111/j.1939-7445.2011. 00097.x.
  18. Shell Model of Turbulence Perturbed by Levy Noise. Utpal Manna and Manil T Mohan. Nonlinear Differential Equations and Applications (NoDEA), Volume 18, Number 6 (2011), 615–648. DOI: 10.1007/s00030-011-0110-9.
  19. Large Deviations For The Stochastic Shell Model of Turbulence. U. Manna, S.S. Sritharan and P. Sundar. Nonlinear Differential Equations and Applications (NoDEA), Volume 16, Number 4 (2009), 493–521. DOI: 10.1007/s00030-009-0023-z. 
  20. Stochastic Analysis of Tidal Dynamics Equation. U. Manna, J.L. Menaldi and S.S. Sritharan. Infinite Dimensional Stochastic Analysis , 90-113, QP-PQ: Quantum Probab. White Noise Anal., 22, World Scientific Publishers, Hackensack, NJ, 2008.
  21. Lyapunov Functionals and Local Dissipativity of the Vorticity Equation in Lp and Besov spaces. U. Manna and S.S. Sritharan. Differential and Integral Equations, Volume 20, Number 5 (2007), 481–498.
  22. Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility. U. Manna, J.L. Menaldi and S.S. Sritharan. Communications on Stochastic Analysis, Volume 1, Number 1 (2007), 123–139.

 

Articles Under Review

  1. Well-posedness and Large Deviations for 2D Stochastic Constrained Navier-Stokes Equations driven by Levy Noise in the Marcus canonical form. Utpal Manna and Akash A Panda. Submitted for Journal Publication. 
  2. Weak martingale solution of stochastic critical Oldroyd-B type models perturbed by pure jump noise. Utpal Manna and Debopriya Mukherjee. Submitted for Journal Publication. 
  3. Weak solutions and invariant measures of stochastic Oldroyd-B type model driven by jump noise. Utpal Manna and Debopriya Mukherjee. Submitted for Journal Publication.
  4. On The Two and Three Dimensional Ideal Magnetic Benard Problem  - Local Existence and Blow-up Criterion. Utpal Manna and Akash A Panda. Submitted for Journal Publication.  http://arxiv.org/abs/1706.05046.