Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Kogelbauer, Florian"'
Autor:
Kogelbauer, Florian, Karlin, Ilya
We combine the theory of slow spectral closure for linearized Boltzmann equations with Maxwell's kinetic boundary conditions to derive non-local hydrodynamics with arbitrary accommodation. Focusing on shear-mode dynamics, we obtain explicit steady st
Externí odkaz:
http://arxiv.org/abs/2411.05428
Autor:
Breunung, Thomas, Kogelbauer, Florian
While linear systems are well-understood, no explicit solution exists for general nonlinear systems. Thus, it is desirable to make the understanding of linear system available in the nonlinear setting. This motivates the search for linearization tech
Externí odkaz:
http://arxiv.org/abs/2408.03437
Skateboarders perform a reciprocating motion on a curved ramp, called pumping, by moving their bodies up and down perpendicular to the ramp's surface. We propose a simple mechanical model for this pumping motion and solve the equation of motion expli
Externí odkaz:
http://arxiv.org/abs/2312.17671
Autor:
Kogelbauer, Florian, Karlin, Ilya
An exact closure for hydrodynamic variables is rigorously derived from the linear Boltzmann kinetic equation. Our approach, based on spectral theory, structural properties of eigenvectors and the theory of slow manifolds, allows us to define a unique
Externí odkaz:
http://arxiv.org/abs/2311.14174
Autor:
Kogelbauer, Florian, Karlin, Ilya
We give an explicit description of the spectral closure for the three-dimensional linear Boltzmann-BGK equation in terms of the macroscopic fields, density, flow velocity and temperature. This results in a new linear fluid dynamics model which is val
Externí odkaz:
http://arxiv.org/abs/2306.07103
Autor:
Kogelbauer, Florian, Karlin, Ilya
We perform a complete spectral analysis of the linearized Shakhov model involving two relaxation times $\tau_{\rm fast}$ and $\tau_{\rm slow}$. Our results are based on spectral functions derived from the theory of finite-rank perturbations, which al
Externí odkaz:
http://arxiv.org/abs/2305.06612
Autor:
Kogelbauer, Florian, Karlin, Ilya
We perform a complete spectral analysis of the linear three-dimensional Boltzmann BGK operator resulting in an explicit transcendental equation for the eigenvalues. Using the theory of finite-rank perturbations, we confirm the existence of a critical
Externí odkaz:
http://arxiv.org/abs/2301.03069
Instantaneous features of three-dimensional velocity fields are most directly visualized via streamsurfaces. It is generally unclear, however, which streamsurfaces one should pick for this purpose, given that infinitely many such surfaces pass throug
Externí odkaz:
http://arxiv.org/abs/2211.13027
Autor:
Kogelbauer, Florian, Karlin, Ilya
Publikováno v:
In Physica D: Nonlinear Phenomena March 2024 459
Autor:
Kogelbauer, Florian
We prove an explicit, non-local hydrodynamic closure for the linear one-dimensional kinetic equation independent on the size of the relaxation time. We compare this dynamical equation to the local approximations obtained from the Chapman--Enskog expa
Externí odkaz:
http://arxiv.org/abs/2003.03745