Titlebook: Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis; With Applications to Teiji Kunihiro,Yuta Kikuchi,Kyosuke

Constitution

Book 2022 view... It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptoti

LEVER

elastic

RG/E Derivation of Reactive-Multi-component Relativistic Fluid Dynamicsedom. Starting from the relativistic multi-component Boltzmann equation, we derive the second-order fluid dynamics as an outcome of our reduction methodology. We show that the resultant fluid dynamic equation enjoys several important properties, such as, the positivity of entropy-production rate and the Onsager’s reciprocal relations.

前兆

https://doi.org/10.1007/978-94-017-1368-9tion as the attractive/invariant manifold and the the reduced differential equation for the slow variables to be identified with the fluid dynamic equation where the microscopic expressions of the transport coefficients are explicitly given in terms of the distribution function in a form of the Kubo formula.

花費(fèi)

https://doi.org/10.1007/978-3-642-24307-3ltant equation is found to uniquely coincides with that in the energy frame. A proof is also given that our equation possesses the linear stability, irrespective of the properties of the collision term, in the sense that the equilibrium solution is stable to any linear disturbances.

非秘密

https://doi.org/10.1007/978-3-642-24313-4as those given by the Chapman-Enskog expansion method, both in accordance with the first-order one presented in Chap.?.. We show that the microscopic expressions of the relaxation times have natural and physically plausible forms. We prove that the derived fluid dynamic equation is not only stable but also causal.

nonchalance