Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model
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Date
2024-03Type
- Journal Article
ETH Bibliography
yes
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Abstract
We perform a complete spectral analysis of the linearized Shakhov model involving two relaxation times τfast and τslow. Our results are based on spectral functions derived from the theory of finite-rank perturbations, which allows us to derive an explicit expression for the critical wave number kcrit limiting the number of discrete eigenvalues above the essential spectrum together with the existence of a finite-dimensional slow manifold defining non-local hydrodynamics. We discuss the merging of hydrodynamic modes as well as the existence of second sound and the appearance of ghost modes beneath the essential spectrum in dependence of the Prandtl number. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000649293Publication status
publishedExternal links
Journal / series
Physica D: Nonlinear PhenomenaVolume
Pages / Article No.
Publisher
ElsevierSubject
Kinetic theory; Shakhov model; Spectral analysis; Second sound; Hydrodynamic closureFunding
834763 - Particles-on-Demand for Multiscale Fluid Dynamics (EC)
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ETH Bibliography
yes
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