1 citations · 2 across the 6 of their papers we have counts for
7 papers
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state
Maren Hantke, Christoph Matern, Gerald Warnecke +1
In this paper a hyperbolic system of partial differential equations for two-phase mixture flows with components is studied. It is derived from a more complicated model involvin…
Radially symmetric solutions of the ultra-relativistic Euler equations
Matthias Kunik, Hailiang Liu, Gerald Warnecke
The ultra-relativistic Euler equations for an ideal gas are described in terms of the pressure , the spatial part of the dimensionless four-velocity and…
A high order positivity preserving DG method for coagulation-fragmentation equations
Hailiang Liu, Robin Gröpler, Gerald Warnecke
We design, analyze and numerically validate a novel discontinuous Galerkin method for solving the coagulation-fragmentation equations. The DG discretization is applied to the conse…
Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations
Rajesh Kumar, Jitendra Kumar, Gerald Warnecke
This paper presents stability and convergence analysis of a finite volume scheme (FVS) for solving aggregation, breakage and the combined processes by showing Lipschitz continuity…
The singular kernel coagulation equation with multifragmentation
Carlos Cueto Camejo, Gerald Warnecke
In this article we prove the existence of solutions to the singular coagulation equation with multifragmentation. We use weighted -spaces to deal with the singularities and to…
Regular Solutions to the Coagulation Equations with Singular Kernels
Carlos Cueto Camejo, Robin Gröpler, Gerald Warnecke
In this article we prove the existence of solutions to the coagulation equation with singular kernels. We use weighted L^1-spaces to deal with the singularities in order to obtain…