28 citations · 134 across the 11 of their papers we have counts for
14 papers
A discontinuous Galerkin approach for atmospheric flows with implicit condensation
Sabine Doppler, Philip L. Lederer, Joachim Schöberl +1
We present a discontinuous Galerkin method for moist atmospheric dynamics, with and without warm rain. By considering a combined density for water vapour and cloud water, we avoid…
Scaling approaches to quasi-geostrophic theory for moist, precipitating air
Daniel Bäumer, Sabine Hittmeir, Rupert Klein
Quasi-geostrophic (QG) theory is of fundamental importance in the study of large-scale atmospheric flows. In recent years, there has been growing interest in extending the classica…
Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes
Sabine Hittmeir, Rupert Klein, Jinkai Li +1
In this work we study the global solvability of moisture dynamics with phase changes for warm clouds. We thereby in comparison to previous studies [Hittmeir-Klein-Li-Titi (2017)] t…
The dynamic state index with moisture and phase changes
Sabine Hittmeir, Rupert Klein, Annette Müller +1
The dynamic state index (DSI) is a scalar field that combines variational information on the total energy and enstrophy of a flow field with the second law of thermodynamics. Its m…
Asymptotics for moist deep convection I: Refined scalings and self-sustaining updrafts
Sabine Hittmeir, Rupert Klein
Moist processes are among the most important drivers of atmospheric dynamics,and scale analysis and asymptotics are cornerstones of theoretical meteorology. Accounting for moist pr…
Kinetic Modelling of Colonies of Myxobacteria
Sabine Hittmeir, Laura Kanzler, Angelika Manhart +1
A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical and numerical results are presented. The model is based on…
Global Well-posedness for the Primitive Equations Coupled to Nonlinear Moisture Dynamics with Phase Changes
Sabine Hittmeir, Rupert Klein, Jinkai Li +1
In this work we study the global solvability of the primitive equations for the atmosphere coupled to moisture dynamics with phase changes for warm clouds, where water is present i…
Derivation and analysis of continuum models for crossing pedestrian traffic
Sabine Hittmeir, Helene Ranetbauer, Christian Schmeiser +1
In this paper we study hyperbolic and parabolic nonlinear partial differential equation models, which describe the evolution of two intersecting pedestrian flows. We assume that in…
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes
Sabine Hittmeir, Rupert Klein, Jinkai Li +1
We study a moisture model for warm clouds that has been used by Klein and Majda as a basis for multiscale asymptotic expansions for deep convective phenomena. These moisture balanc…
Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics
J. A. Carrillo, S. Hittmeir, B. Volzone +1
We analyze under which conditions equilibration between two competing effects, repulsion modeled by nonlinear diffusion and attraction modeled by nonlocal interaction, occurs. This…
Decay to equilibrium for energy-reaction-diffusion systems
Jan Haskovec, Sabine Hittmeir, Peter Markowich +1
We derive thermodynamically consistent models of reaction-diffusion equations coupled to a heat equation. While the total energy is conserved, the total entropy serves as a driving…
Lane formation by side-stepping
Martin Burger, Sabine Hittmeir, Helene Ranetbauer +1
In this paper we study a system of nonlinear partial differential equations, which describes the evolution of two pedestrian groups moving in opposite direction. The pedestrian dyn…
Kinetic derivation of fractional Stokes and Stokes-Fourier systems
Sabine Hittmeir, Sara Merino-Aceituno
In recent works it has been demonstrated that using an appropriate rescaling, linear Boltzmann-type equations give rise to a scalar fractional diffusion equation in the limit of a…
Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model
José Antonio Carrillo, Sabine Hittmeir, Ansgar Jüngel
A parabolic-parabolic (Patlak-) Keller-Segel model in up to three space dimensions with nonlinear cell diffusion and an additional nonlinear cross-diffusion term is analyzed. The m…