62 citations · 139 across the 25 of their papers we have counts for
10 papers · 1 filter
Hypocoercivity for a BGK model for gas mixtures
Liu Liu, Marlies Pirner
We consider a kinetic model for a two component gas mixture without chemical reactions. Our goal is to study hypocoercivity for the linearized BGK model for gas mixtures in continu…
Kinetic ES-BGK models for a multi-component gas mixture
Christian Klingenberg, Marlies Pirner, Gabriella Puppo
We consider a multi component mixture of inert gas in the kinetic regime by assuming that the total number of particles of each species remains constant. In this article we shall i…
On quantifying uncertainties for the linearized BGK kinetic equation
C. Klingenberg, Q. Li, M. Pirner
We consider the linearized BGK equation and want to quantify uncertainties in the case of modelling errors. More specifically, we want to quantify the error produced if the pre-det…
A consistent kinetic model for a two-component mixture of polyatomic molecules
Christian Klingenberg, Marlies Pirner, Gabriella Puppo
We consider a multi component gas mixture with translational and internal energy degrees of freedom assuming that the number of particles of each species remains constant. We will…
Using a kinetic BGK model to determine transport coefficients of gas mixtures
Christian Klingenberg, Marlies Pirner
We consider a non reactive two component gas mixture. In a macroscopic description of a gas mixture we expect four physical coefficients characterizing the physical behaviour of th…
Existence and uniqueness of mild solutions for BGK models for gas mixtures of polyatomic molecules
Marlies Pirner
We consider two models for a two component gas mixture with translational and internal energy degrees of freedom described by a BGK approximation assuming that the number of partic…
A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures
Marlies Pirner
Kinetic models for polyatomic gases have two temperatures for the two different types of degrees of freedom, the translational and the internal energy degrees of freedom. Therefore…
Existence, Uniqueness and Positivity of solutions for BGK models for mixtures
C. Klingenberg, M. Pirner
We consider kinetic models for a multi component gas mixture without chemical reactions. In the literature, one can find two types of BGK models in order to describe gas mixtures.…
A consistent kinetic model for a two-component mixture with an application to plasma
Christian Klingenberg, Marlies Pirner, Gabriella Puppo
We consider a non reactive multi component gas mixture.We propose a class of models, which can be easily generalized to multiple species. The two species mixture is modelled by a s…
Kinetic/Fluid micro-macro numerical scheme for a two component gas mixture
A. Crestetto, C. Klingenberg, M. Pirner
This work is devoted to the numerical simulation of the \BGK equation for two species in the fluid limit using a particle method. Thus, we are interested in a gas mixture consistin…