On Energy Conservation for Stochastically Forced Fluid Flows.

Authors : Shyam Sundar Ghoshal, Animesh Jana and Barun Sarkar

Journal : 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

Volume :vol 34. Springer, Cham. DOI: https://doi.org/10.1007/978-3-031-55260-1_20

Year: 2024

Weak Solutions of SPDEs in the space of Tempered distributions.

Authors : Bhar, Suprio and Sarkar, Barun

Journal : Submitted

DOI: https://arxiv.org/abs/2312.16539

Year: 2024

Continuity of soultions of diffusion SPDEs with respect to the initial condition and coefficients.

Authors : B. Rajeev and Barun Sarkar

Journal : Submitted

Year: 2024

Stochastic PDEs involving a bilaplacian operator.

Authors : Suprio Bhar and Barun Sarkar

Journal : Submitted

DOI: https://arxiv.org/abs/2312.16550

Year: 2024

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

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

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

Year: 2021

Solutions of SPDE's associated with a stochastic flow.

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

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

Year: 2020

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

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

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

Year: 2020

Parametric family of SDEs driven by Lévy noise.

Authors : Bhar, Suprio; Sarkar, Barun

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

Year: 2018

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

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

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

Year: 2017