| Private Homepage | https://www.uni-muenster.de/AMM/Pirner/index.shtml |
| Research Interests | hyperbolic partial differential equations, kinetic equations, Boltzmann equation, BGK approximation long-time behavior of solutions, convergence to equilibrium Existence, uniqueness of solutions Qualitative behavior of solutions such as positivity of solutions, physical properties Uncertainty quantification Models considering gas mixtures, chemical reactions, degrees of freedom in internal energy, plasmas |
| Topics in Mathematics Münster | T9: Multi-scale processes and effective behaviour |
| Current Publications | • Baumann, Lena; Pirner, Marlies Linear Landau damping for a two-species Vlasov-Poisson system for electrons and ions. Hyperbolic Problems: Theory, Numerics, Applications. Volume II : HYP2022, Málaga, Spain, June 20-24, 2022SEMA SIMAI Springer Series Vol. 2, 2024 online • Pirner, Marlies A consistent kinetic Fokker-Planck model for gas mixtures. Journal of Statistical Physics Vol. 191 (11), 2024 online • Herzing, Tobias; Klingenberg, Christian; Pirner, Marlies Hypocoercivity of the linearized BGK equation with stochastic coefficients. Methods and Applications of Analysis Vol. 30(3), 2023 online • Bae, Gi-Chan; Klingenberg, Christian; Pirner, Marlies; Yun, Seok-Bae BGK model for two-component gases near a global Maxwellian. SIAM Journal on Mathematical Analysis Vol. 55 (2), 2023 online • Favre, Gianluca; Pirner, Marlies; Schmeiser, Christian Hypocoercivity and reaction-diffusion limit for a non-linear generation-recombination model. Archive for Rational Mechanics and Analysis Vol. 247 (4), 2023 online • Pirner, Marlies; Warnecke, Sandra A review on a general multi-species BGK model: modelling, theory and numerics. From Kinetik Theory to Turbulence Modeling : The Legacy of Carlo CercignaniSpringer INdAM Series, 2022 online • Favre, Gianluca; Pirner, Marlies; Schmeiser, Christian Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit. Kinetic and Related Models Vol. 15 (5), 2022 online • Haack, Jeff; Hauck, Cory; Klingenberg, Christian; Pirner, Marlies; Warnecke, Sandra Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. Journal of Computational Physics Vol. 473, 2022 online • Pirner, Marlies On multi-species BGK models with velocity dependent collision frequencies. Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations (hybridmeeting)Oberwolfach Report, 2021 online |
| Current Projects | • EXC 2044 - T09: Multiscale processes and effective behaviour Many processes in physics, engineering and life sciences involve multiple spatial and temporal scales, where the underlying geometry and dynamics on the smaller scales typically influence the emerging structures on the coarser ones. A unifying theme running through this research topic is to identify the relevant spatial and temporal scales governing the processes under examination. This is achieved, e.g., by establishing sharp scaling laws, by rigorously deriving effective scale-free theories and by developing novel approximation algorithms which balance various parameters arising in multiscale methods. online | marlies dot pirner at uni-muenster dot de |
| Phone | +49 251 83-35088 |
| FAX | +49 251 83-32729 |
| Room | 130.018 |
| Secretary | Sekretariat Lückert Frau Dr. Claudia Lückert Telefon +49 251 83-35154 Fax +49 251 83-32729 Zimmer 120.025 |
| Address | Prof. Dr. Marlies Pirner Angewandte Mathematik Münster: Institut für Analysis und Numerik Fachbereich Mathematik und Informatik der Universität Münster Orléans-Ring 10 48149 Münster |
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