3 papers
math.AP2021
Stochastic Degenerate Fractional Conservation Laws
Abhishek Chaudhary
We consider the Cauchy problem for a degenerate fractional conservation laws driven by a noise. In particular, making use of an adapted kinetic formulation, a result of existence a…
math.AP2021
Convergence of a spectral method for the stochastic incompressible Euler equations
Abhishek Chaudhary
We propose a spectral viscosity method (SVM) to approximate the incompressible Euler equations driven by a multiplicative noise. We show that SVM solution converges to a dissipativ…
math.AP2021
A convergent finite volume scheme for the stochastic barotropic compressible Euler equations
Abhishek Chaudhary, Ujjwal Koley
In this paper, we analyze a semi-discrete finite volume scheme for the three-dimensional barotropic compressible Euler equations driven by a multiplicative Brownian noise. We deriv…