From Boltzmann's kinetic theory to Euler's equations
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Publication:942770
DOI10.1016/j.physd.2007.11.023zbMath1143.76566OpenAlexW1986942132MaRDI QIDQ942770
Publication date: 5 September 2008
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2007.11.023
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of liquids (82D15) Foundations of fluid mechanics (76A02)
Related Items
The Problem with Hilbert’s 6th Problem ⋮ Hilbert’s sixth problem and the failure of the Boltzmann to Euler limit ⋮ On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics ⋮ Thermal creep of a rarefied gas on the basis of non-linear Korteweg-theory ⋮ Admissibility of weak solutions for the compressible Euler equations, n ≥ 2
Cites Work
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- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Hydrodynamic limits: Some improvements of the relative entropy method
- Lattice gases, large deviations, and the incompressible Navier-Stokes equations
- Fast singular limits of hyperbolic PDEs
- Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
- Relative entropy and hydrodynamics of Ginzburg-Landau models
- Incompressible navier-stokes and euler limits of the boltzmann equation
- Steady gas flows past bodies at small Knudsen numbers
- A classification of well-posed kinetic layer problems
- Time evolution of large classical systems
- Conditions at infinity for boltzmann's equation.
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- Ekman layers of rotating fluids, the case of well prepared initial data
- From the BGK model to the Navier–Stokes equations
- The Boltzmann equation in the whole space
- From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II