7 citations · 8 across the 5 of their papers we have counts for
6 papers
Compressible Euler equations with transport noise
Richard Boadi, Dominic Breit, Thamsanqa Castern Moyo
We study the isentropic compressible Euler equations in multi-dimensions with stochastic perturbation of transport type. On the one hand, this is motivated by the physical modellin…
Discontinuous Galerkin methods for the complete stochastic Euler equations
Dominic Breit, Thamsanqa Castern Moyo, Philipp Öffner
In recent years, stochastic effects have become increasingly relevant for describing fluid behaviour, particularly in the context of turbulence. The most important model for invisc…
Martingale solutions in stochastic fluid-structure interaction
Dominic Breit, Prince Romeo Mensah, Thamsanqa Castern Moyo
We consider a viscous incompressible fluid interacting with a linearly elastic shell of Koiter type which is located at some part of the boundary. Recently models with stochastic p…
Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise
Dominic Breit, Thamsanqa Castern Moyo, Andreas Prohl +1
We study the 2D Navier-Stokes equation with transport noise subject to periodic boundary conditions. Our main result is an error estimate for the time-discretisation showing a conv…
Dissipative solutions and Markov selection to the complete stochastic Euler system
Thamsanqa Castern Moyo
We introduce the concept of stochastic measure-valued solutions to the complete Euler system describing the motion of a compressible inviscid fluid subject to stochastic forcing, w…
Dissipative solutions to the stochastic Euler equations
Dominic Breit, Thamsanqa Castern Moyo
We study the three-dimensional incompressible Euler equations subject to stochastic forcing. We develop a concept of dissipative martingale solutions, where the nonlinear terms are…