Department of Mathematics | Indian Institute Of Technology Madras , Chennai

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Dr.Barun Sarkar

Assistant Professor

044 - [22]-57 [46]-14

barun@iitm.ac.in

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KCB-531

Stochastic Partial Differential Equations, Probability Theory

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  1. On Energy Conservation for Stochastically Forced Fluid Flows.

    Author: Ghoshal, S.S., Jana, A., Sarkar, B.

    Journal: Conference paper. In: Parés, C., Castro, M.J., Morales de Luna, T., Muñoz-Ruiz, M.L. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Volume I. HYP 2022. SEMA SIMAI Springer Series, vol 34. Springer, Cham.

    Page: pp 275–285

    DOI: https://doi.org/10.1007/978-3-031-55260-1_20

    Year: 2024

  2. Continuity of Solutions of Diffusion SPDEs with respect to the Initial Condition and Coefficients

    Author: Bhaskaran, R., Sarkar, B.

    Journal: J Indian Soc Probab Stat

    DOI: https://doi.org/10.1007/s41096-024-00216-6

    Year: 2024

  3. Uniqueness and energy balance for isentropic Euler equation with stochastic forcing.

    Author: Ghoshal, Shyam Sundar; Jana, Animesh; Sarkar, Barun

    Journal: Nonlinear Anal. Real World Appl. 61 (2021), Paper No. 103328, 18 pp. 35R60 (60H15)

    Year: 2021

  4. Solutions of SPDE's associated with a stochastic flow.

    Author: Bhar, Suprio; Rajeev, Bhaskaran; Sarkar, Barun

    Journal: Potential Anal. 53 (2020), no. 1, 203–221.

    Year: 2020

  5. Stochastic PDEs in S′ for SDEs driven by Lévy noise.

    Author: Bhar, Suprio; Bhaskaran, Rajeev; Sarkar, Barun

    Journal: Random Oper. Stoch. Equ. 28 (2020), no. 3, 217–226.

    Year: 2020

  6. Parametric family of SDEs driven by Lévy noise.

    Author: Bhar, Suprio; Sarkar, Barun

    Journal: Commun. Stoch. Anal. 12 (2018), no. 2, Art. 4, 157–173.

    Year: 2018

  7. Weak Solutions of SPDEs in the space of Tempered distributions.

    Author: Bhar, Suprio and Sarkar, Barun

    Journal: Submitted

    Year: 2022

  8. Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties

    Author: Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun

    Journal: Random Oper. Stoch. Equ. 25 (2017), no. 2, 79–105.

    Year: 2017