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Mathematical Fluid Mechanics

Dr. Marlies Pirner

Dr. Marlies Pirner

Academic Staff
Chair of Mathematics VI
Emil-Fischer-Straße 40
97074 Würzburg
Building: 40 (Mathematik Ost)
Room: 03.016
Portrait Marlies Pirner

Manuscripts submitted to journals:

J. Haack, C. Hauck, C. Klingenberg, M. Pirner, S. Warnecke
A consistent BGK model with velocity-dependent collision frequency for gas mixtures
submitted, 2021

T. Herzing, C. Klingenberg, M. Pirner
Hypocoercivity of the linearized BGK-equation with stochastic coefficients
submitted, 2020

Refereed journal articles:

G. Bae, C. Klingenberg, M. Pirner, S. Yun
BGK model of the multi-species Uehling Uhlenbeck equation
Kinetic & Related Models (2021) 14 (1) : 25-44

A. Crestetto, C. Klingenberg, M. Pirner
Kinetic/fluid micro-macro numerical scheme for a two component gas mixture
SIAM Multiscale Modeling and Simulation 18.2, pp. 970-998 (2020)

L. Liu, M. Pirner
Hypocoercivity for a BGK model for gas mixtures
Journal of Differential Equations 267 (2019) 119-149

C. Klingenberg, M. Pirner, G. Puppo
A consistent kinetic model for a two-component mixture of polyatomic molecules
Communications in Mathematical Sciences, Vol 17, No. 1 (2019), pp. 149 - 173

M. Pirner
A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures
Journal of Statistical Physics, 173(6), 1660-1687, (2018)


C. Klingenberg, M. Pirner
Existence, Uniqueness and Positivity of solutions for BGK models for mixtures.
Journal of Differential Equations, 264, pp. 207-227 (2018)

C. Klingenberg, M. Pirner, G. Puppo
A consistent kinetic model for a two-component mixture with an application to plasma
Kinetic and Related Models Vol. 10, No. 2, pp. 445-465 (2017)

Conference proceedings:

 M. Pirner
On multi-species BGK models with velocity dependent collision frequencies
Oberwolfach Reports. No. 19/2021 (2021)

Q. Li, C. Klingenberg, M. Pirner
On quantifying uncertainties for the linearized BGK kinetic equation
Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018)

C. Klingenberg, M. Pirner, G. Puppo
Kinetic ES-BGK models for a multi-component gas mixture
Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018)

PhD thesis (under the supervision of Christian Klingenberg):

M. Pirner, On kinetic modeling of gas mixtures (2018)

Oct. 2009- Aug. 2014: Study of Mathematical Physics, University of Wuerzburg, Germany

 

Aug. 2014: Master degree

Master thesis :A kinetic model for mixtures with an application to plasma

Advisor: Prof. Dr. Christian Klingenberg

Oct. 2014- Apr. 2018: PhD student, Institute of Mathematics, University of Wuerzburg, Germany

Apr. 2018: PhD degree with gradesumma cum laude

PhD thesis: Kinetic modelling of gas mixtures

Advisor: Prof. Dr. Christian Klingenberg

Oct. 2014- Sept. 2018: Research and teaching assistant at Chair VI, Institute of Mathematics, University of Wuerzburg

Oct. 2018- Sept. 2020: Feodor- Lynen research scholarship of the Alexander von Humboldt Foundation, and member of the SFBTaming complexity in Partial Differential Systems

Project leader Christian Schmeiser, Institute of Mathematics, University of Vienna, Austria

since Oct. 2020: Feodor-Lynen return scholarship of the Alexander von Humboldt Foundation, Institute of Mathematics, University of Wuerzburg, Germany