2 citations · 2 across the 6 of their papers we have counts for
6 papers
Error analysis for 3D Navier--Stokes equations with additive noise
Soumya Ranjan Behera, Dominic Breit, Abhishek Chaudhary
We consider the three-dimensional stochastic Navier--Stokes equations with additive stochastic forcing. We study temporal discretizations based on a semi-implicit Euler as well as…
Homogeneous Dirichlet problem for degenerate parabolic-hyperbolic PDE driven by Levy noise
Soumya Ranjan Behera, Ananta K Majee
In this article, we study the homogeneous Dirichlet problem for a degenerate parabolic-hyperbolic PDE perturbed by Levy noise. In particular, we develop the well-posedness theory o…
Renormalized stochastic entropy solution for degenerate parabolic-hyperbolic equations with Levy noise
Soumya Ranjan Behera, Ananta K Majee
In this article, we establish the well-posedness theory for renormalized entropy solutions of a degenerate parabolic-hyperbolic PDE perturbed by a multiplicative Levy noise with ge…
Stochastic Fractional Conservation Laws: Large deviation principle, Central limit theorem and Moderate deviation principle
Soumya Ranjan Behera, Ananta K. Majee
In this article, we establish the Freidlin-Wentzell type large deviation principle and central limit theorem for stochastic fractional conservation laws with small multiplicative n…
On rate of convergence of finite difference scheme for degenerate parabolic-hyperbolic PDE with Levy noise
Soumya Ranjan Behera, Ananta K. Majee
In this article, we consider a semi discrete finite difference scheme for a degenerate parabolic-hyperbolic PDE driven by Lévy noise in one space dimension. Using bounded variation…
Convergence of an operator splitting scheme for fractional conservation laws with Levy noise
Soumya Ranjan Behera, Ananta K. Majee
In this paper, we are concerned with a operator splitting scheme for linear fractional and fractional degenerate stochastic conservation laws driven by multiplicative Levy noise. M…