7 papers · 1 filter
On the stochastic Dullin-Gottwald-Holm equation: Global existence and wave-breaking phenomena
Christian Rohde, Hao Tang
We consider a class of stochastic evolution equations that include in particular the stochastic Camassa--Holm equation. For the initial value problem on a torus, we first establish…
On a stochastic Camassa-Holm type equation with higher order nonlinearities
Christian Rohde, Hao Tang
The subject of this paper is a generalized Camassa-Holm equation under random perturbation. We first establish local existence and uniqueness results as well as blow-up criteria fo…
A Ternary Cahn-Hilliard Navier-Stokes Model for Two Phase Flow with Precipitation and Dissolution
Christian Rohde, Lars von Wolff
We consider the incompressible flow of two immiscible fluids in the presence of a solid phase that undergoes changes in time due to precipitation and dissolution effects. Based on…
Compressible multi-component flow in porous media with Maxwell-Stefan diffusion
Lukas Ostrowski, Christian Rohde
We introduce a Darcy-scale model to describe compressible multi-component flow in a fully saturated porous medium. In order to capture cross-diffusive effects between the different…
Homogenization of Non-Local Navier-Stokes-Korteweg Equations for Compressible Liquid-Vapour Flow in Porous Media
Christian Rohde, Lars von Wolff
We consider a nonlocal version of the quasi-static Navier-Stokes-Korteweg equations with a non-monotone pressure law. This system governs the low-Reynolds number dynamics of a comp…
Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media
Alaa Armiti-Juber, Christian Rohde
We study a nonlocal evolution equation that involves a pseudo-parabolic third-order term. The equation models almost uni-directional two-phase flow in Brinkman regimes. We prove th…