3 papers
math.NA2026
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…
math.AP2024
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…
math.AP2024
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…