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標題: Titlebook: Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis; With Applications to Teiji Kunihiro,Yuta Kikuchi,Kyosuke [打印本頁]

作者: 萬能    時間: 2025-3-21 16:58
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作者: Offensive    時間: 2025-3-21 23:22
978-981-16-8191-2Springer Nature Singapore Pte Ltd. 2022
作者: 6Applepolish    時間: 2025-3-22 02:15

作者: habitat    時間: 2025-3-22 05:45

作者: 舊石器時代    時間: 2025-3-22 10:20
Economics and Politics of EnergyWe formulate the RG method as a powerful reduction theory of dynamical systems in a way that the Kuramoto’s reduction scheme and the center-manifold reduction theory that consist of the construction of the attractive/invariant manifold and the reduced equations on it naturally emerge.
作者: stroke    時間: 2025-3-22 15:21

作者: stroke    時間: 2025-3-22 20:43
Ecological Economics: Critical PerspectivesWe present a general framework in the RG method to reduce microscopic dynamics to . dynamics, which occupies an intermediate level between the descriptions by the microscopic dynamics and macroscopic dynamics. This framework in the RG method is called the .. To demonstrate the validity of the doublet scheme, we analyze the Lorenz model.
作者: SPASM    時間: 2025-3-22 23:09
https://doi.org/10.1007/978-3-319-50319-6In this chapter, we present the details of derivations and proof of the formulae that appear commonly in Chaps.?10, 11 , and 12.
作者: PAEAN    時間: 2025-3-23 02:18
Introduction: Reduction of Dynamics, Notion of Effective Theories, and Renormalization Groups,The significant roles played by the notion of effective theories in physical sciences and the renormalization groups are indicated, by referring to Galileo. Then the purpose and structure of the monograph is described with comments on their physical and mathematical significance.
作者: choleretic    時間: 2025-3-23 09:34

作者: 一個攪動不安    時間: 2025-3-23 13:12

作者: 虛情假意    時間: 2025-3-23 15:01
A General Theory for Constructing Mesoscopic Dynamics: Doublet Scheme in RG MethodWe present a general framework in the RG method to reduce microscopic dynamics to . dynamics, which occupies an intermediate level between the descriptions by the microscopic dynamics and macroscopic dynamics. This framework in the RG method is called the .. To demonstrate the validity of the doublet scheme, we analyze the Lorenz model.
作者: 長處    時間: 2025-3-23 21:33

作者: 丑惡    時間: 2025-3-24 00:08
Creating Shortages of Human Assets na?ve perturbation series of solutions of ordinary differential equations. This chapter also constitutes an elementary introduction to some standard methods for solving linear inhomogeneous ordinary differential equations in the undergraduate level, and a detailed account is given of the method of variation of constants in the appendix.
作者: 傻瓜    時間: 2025-3-24 05:19

作者: 使出神    時間: 2025-3-24 10:31

作者: BOOM    時間: 2025-3-24 14:01
In defense of institutionalism,luid dynamic equation from the underlying microscopic theory such as the relativistic Boltzmann equation (RBE). Then after some of basic properties of the RBE are described, we make a detailed account of the Chapman-Enskog and the Israel-Stewart methods for deriving fluid dynamic equations from the RBE, with some critical comments.
作者: CUB    時間: 2025-3-24 17:23

作者: 裙帶關系    時間: 2025-3-24 21:19

作者: Feckless    時間: 2025-3-25 00:58

作者: Tractable    時間: 2025-3-25 04:41
Introduction to Relativistic Dissipative Fluid Dynamics and Its Derivation from Relativistic Boltzmaluid dynamic equation from the underlying microscopic theory such as the relativistic Boltzmann equation (RBE). Then after some of basic properties of the RBE are described, we make a detailed account of the Chapman-Enskog and the Israel-Stewart methods for deriving fluid dynamic equations from the RBE, with some critical comments.
作者: 羊欄    時間: 2025-3-25 10:49
Teiji Kunihiro,Yuta Kikuchi,Kyosuke TsumuraSheds light on geometrical notion of renormalization group theory.Offers systematic asymptotic analysis in evolution equations.Describes contents a priori and clearly
作者: Commodious    時間: 2025-3-25 11:59
Creating Shortages of Human Assets na?ve perturbation series of solutions of ordinary differential equations. This chapter also constitutes an elementary introduction to some standard methods for solving linear inhomogeneous ordinary differential equations in the undergraduate level, and a detailed account is given of the method of
作者: 冰河期    時間: 2025-3-25 17:49

作者: Axillary    時間: 2025-3-25 21:38
Narendra N. Dalei,Anshuman Guptad geometrically on the basis of the theory of envelopes of curves: The central ingredient of the method is identified with a construction of the envelope curve of the perturbative solutions around arbitrary initial time. A unique point of the method is to allow the appearance of secular terms in con
作者: 人造    時間: 2025-3-26 03:40
Economic Appraisal: The Nuts and Bolts,e Hopf-bifurcation point in Brusselator with and without a diffusion term. Then a couple of examples are analyzed in the RG method, the unperturbed operators of both of which are not semi-simple and have a Jordan cell structure; one is an extended Takens model and the other is the Benney equation, f
作者: 安裝    時間: 2025-3-26 07:00

作者: 愛花花兒憤怒    時間: 2025-3-26 10:58
In defense of institutionalism,luid dynamic equation from the underlying microscopic theory such as the relativistic Boltzmann equation (RBE). Then after some of basic properties of the RBE are described, we make a detailed account of the Chapman-Enskog and the Israel-Stewart methods for deriving fluid dynamic equations from the
作者: 倔強一點    時間: 2025-3-26 16:43

作者: 新奇    時間: 2025-3-26 18:07

作者: 運動性    時間: 2025-3-26 21:19

作者: olfction    時間: 2025-3-27 04:37

作者: 整潔漂亮    時間: 2025-3-27 07:47
https://doi.org/10.1007/978-4-431-53957-5e RG method. Second-order fluid dynamic equations are of great importance in some systems, such as cold atomic gases, in which their diluteness or inhomogeneity is so large that a novel theoretical scheme is necessary to facilitate the understanding of mesoscopic dynamics. Nevertheless deriving the
作者: DIS    時間: 2025-3-27 12:55
Geometrical Formulation of Renormalization-Group Method as an Asymptotic AnalysisWith Applications to
作者: critique    時間: 2025-3-27 17:05

作者: vitrectomy    時間: 2025-3-27 20:17

作者: Resistance    時間: 2025-3-27 23:00
Na?ve Perturbation Method for Solving Ordinary Differential Equations and Notion of Secular Terms na?ve perturbation series of solutions of ordinary differential equations. This chapter also constitutes an elementary introduction to some standard methods for solving linear inhomogeneous ordinary differential equations in the undergraduate level, and a detailed account is given of the method of
作者: 因無茶而冷淡    時間: 2025-3-28 02:42
Conventional Resummation Methods for Differential Equationsmain by circumventing the appearance of secular terms. It will be found that all the methods consist of rearranging the equation by introducing some unknown quantities, which are to be determined by the solvability condition with which the appearance of secular terms are avoided.
作者: 陳腐思想    時間: 2025-3-28 08:49

作者: 設施    時間: 2025-3-28 13:42
Miscellaneous Examples of Reduction of Dynamicse Hopf-bifurcation point in Brusselator with and without a diffusion term. Then a couple of examples are analyzed in the RG method, the unperturbed operators of both of which are not semi-simple and have a Jordan cell structure; one is an extended Takens model and the other is the Benney equation, f
作者: Cocker    時間: 2025-3-28 14:54
RG/E Derivation of Dissipative Fluid Dynamics from Classical Non-relativistic Boltzmann Equation apply the RG method to derive the fluid dynamics with dissipative effects for the non-relativistic system, ., the Navier-Stokes equation and the energy equation with the heat current, from the classical Boltzmann equation: The small inhomogeneity in the asymptotic regime is identified as a small pa
作者: 使困惑    時間: 2025-3-28 20:51

作者: Sinus-Node    時間: 2025-3-29 00:34

作者: ACME    時間: 2025-3-29 07:09
RG/E Derivation of Relativistic Second-Order Fluid Dynamicsnts systematically from the relativistic Boltzmann equation with quantum statistics. The derivation is based on the doublet scheme in the RG method introduced in Chap.?. as a general framework to extract the . dynamics from the underlying microscopic theory. The resultant relativistic second-order f
作者: EWER    時間: 2025-3-29 08:46

作者: COKE    時間: 2025-3-29 14:52
RG/E Derivation of Reactive-Multi-component Relativistic Fluid Dynamicsach other, ., a reactive multi-component system. This is motivated by the fact that many underlying microscopic systems contain various degrees of freedom. Starting from the relativistic multi-component Boltzmann equation, we derive the second-order fluid dynamics as an outcome of our reduction meth
作者: 水汽    時間: 2025-3-29 15:56

作者: 古老    時間: 2025-3-29 20:36

作者: Yag-Capsulotomy    時間: 2025-3-30 01:45
Narendra N. Dalei,Anshuman Guptaope curve of the perturbative solutions around arbitrary initial time. A unique point of the method is to allow the appearance of secular terms in contrast to the conventional resummation methods. Some simple examples are worked out in this RG method.
作者: bourgeois    時間: 2025-3-30 05:35
Natural Environment: Fair Siting Proceduresedom. 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.
作者: Constitution    時間: 2025-3-30 08:43
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
作者: LEVER    時間: 2025-3-30 15:46

作者: elastic    時間: 2025-3-30 18:24
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.
作者: 前兆    時間: 2025-3-31 00:16
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.
作者: 花費    時間: 2025-3-31 01:59
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.
作者: 非秘密    時間: 2025-3-31 06:01
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.
作者: nonchalance    時間: 2025-3-31 09:26





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