5 papers
Effective Equations for a Compressible Liquid-Vapor Flow Model with Highly Oscillating Initial Density
Christian Rohde, Florian Wendt
We derive and justify a new effective model for a compressible viscous liquid-vapor flow on a spray-like scale, i.e., for settings with a large number of phase boundaries. As a mod…
Fractured Poroelastic Media in the Limit of Vanishing Aperture
Maximilian Hörl, Kundan Kumar, Christian Rohde
We consider a poroelastic medium with a thin heterogeneity, also referred to as a fracture. Fluid flow and mechanical deformation inside both bulk and fracture are governed by the…
On hyperbolic approximations for a class of dispersive and diffusive-dispersive equations
Rahul Barthwal, Firas Dhaouadi, Christian Rohde
We introduce novel approximate systems for dispersive and diffusive-dispersive equations with nonlinear fluxes. For purely dispersive equations, we construct a first-order, strictl…
Existence and stability of the Riemann solutions for a non-symmetric Keyfitz--Kranzer type model
Rahul Barthwal, Christian Rohde, Anupam Sen
In this article, we develop a new hyperbolic model governing the first-order dynamics of a thin film flow under the influence of gravity and solute transport. The obtained system t…
Mathematical Justification of a BaerNunziato Model for a Compressible Viscous Fluid with Phase Transition
Christian Rohde, Florian Wendt
In this work, we justify a BaerNunziato system including appropriate closure terms as the macroscopic description of a compressible viscous fluid that can occur in a liquid or a…