Mathematical Fluid Dynamics – Hyperbolic Balance Laws across the Scales
Hirschegg, Austria 2025
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Beschreibung
This volume presents seven invited lecture series from the DFG Priority Programme Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness, surveying recent developments in mathematical fluid dynamics across a broad range of scales, from kinetic theory to turbulence, mixing, and relativistic flows. The contributions reflect current research directions in the field. Hana Mizerová and Simon Markfelder discuss aspects of the emerging theory of non-standard weak and generalized solutions to the compressible Euler equations. Theodore Drivas addresses turbulence, Gianluca Crippa studies mixing phenomena, Tai‑Ping Liu and Shih‑Hsien Yu develop the theory of nonlinear waves for the Boltzmann equation, and Marcelo Disconzi focuses on dissipative relativistic fluid dynamics.
The volume is intended for researchers and advanced graduate students in partial differential equations and applied mathematics.
This volume presents seven invited lecture series from the DFG Priority Programme Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness, surveying recent developments in mathematical fluid dynamics across a broad range of scales, from kinetic theory to turbulence, mixing, and relativistic flows. The contributions reflect current research directions in the field. Hana Mizerová and Simon Markfelder discuss aspects of the emerging theory of non-standard weak and generalized solutions to the compressible Euler equations. Theodore Drivas addresses turbulence, Gianluca Crippa studies mixing phenomena, Tai‑Ping Liu and Shih‑Hsien Yu develop the theory of nonlinear waves for the Boltzmann equation, and Marcelo Disconzi focuses on dissipative relativistic fluid dynamics.
The volume is intended for researchers and advanced graduate students in partial differential equations and applied mathematics.
Provides a comprehensive overview of major active research areas in mathematical fluid dynamics Covers fluid‑dynamical phenomena across the scales, from kinetic theory to relativistic and astrophysical plasmas Addresses the state of the art in the mathematical theory of turbulence and mixing
Autor*in
Heinrich Freistühler
Themen in »Mathematical Fluid Dynamics – Hyperbolic Balance Laws across the Scales«
Partial Differential Equations Fluid Mechanics Hyperbolic Balance Laws Boltzmann shocks Turbulence and mixing Relativistic viscous hydrodynamics Entropy stable finite volume approximations