Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis
portes grátis
Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis
With Applications to Derivation of Causal Fluid Dynamics
Kikuchi, Yuta; Tsumura, Kyosuke; Kunihiro, Teiji
Springer Verlag, Singapore
04/2022
486
Dura
Inglês
9789811681882
15 a 20 dias
916
Descrição não disponível.
Notion of Effective Theories in Physical Sciences.- Divergence and Secular Term in the Perturbation Series of Ordinary Differential Equations.- Traditional Resummation Methods.- Elementary Introduction of the RG method in Terms of the Notion of Envelopes.- Ei-Fujii-Kunihiro Formulation and Relation to Kuramoto's reduction scheme.- Relation to the RG Theory in Quantum Field Theory.- Resummation of the Perturbation Series in Quantum Methods.- Illustrative Examples.- Slow Dynamics Around Critical Point in Bifurcation Phenomena.- Dynamical Reduction of A Generic Non-linear Evolution Equation with Semi-simple Linear Operator.- A Generic Case when the Linear Operator Has a Jordan-cell Structure.- Dynamical Reduction of Difference Equations.- Slow Dynamics in Some Partial Differential Equations.- Some Mathematical Formulae.- Dynamical Reduction of Kinetic Equations.- Relativistic First-Order Fluid Dynamic Equation.- Doublet Scheme and its Applications.- Relativistic Causal Fluid dynamic Equation.- Numerical Analysis of Transport Coefficients and Relaxation Times.- Reactive Multi-component Systems.- Non-relativistic Case and Application to Cold Atoms.- Summary and Future Prospects.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Renormalization Group Theory in Differential Equations;Asymptotic Analysis of Differential Equations;Krylov-Bogoliubov-Mitropolsky Theory;Kuramoto's Formulation of Generalized Reduction Theory;Ei-Fujii-Kunihiro Formulation;The Doublet Scheme;Fluid Dynamic Limits of Boltzmann Equation;Causal Relativistic Fluid Dynamic Equations
Notion of Effective Theories in Physical Sciences.- Divergence and Secular Term in the Perturbation Series of Ordinary Differential Equations.- Traditional Resummation Methods.- Elementary Introduction of the RG method in Terms of the Notion of Envelopes.- Ei-Fujii-Kunihiro Formulation and Relation to Kuramoto's reduction scheme.- Relation to the RG Theory in Quantum Field Theory.- Resummation of the Perturbation Series in Quantum Methods.- Illustrative Examples.- Slow Dynamics Around Critical Point in Bifurcation Phenomena.- Dynamical Reduction of A Generic Non-linear Evolution Equation with Semi-simple Linear Operator.- A Generic Case when the Linear Operator Has a Jordan-cell Structure.- Dynamical Reduction of Difference Equations.- Slow Dynamics in Some Partial Differential Equations.- Some Mathematical Formulae.- Dynamical Reduction of Kinetic Equations.- Relativistic First-Order Fluid Dynamic Equation.- Doublet Scheme and its Applications.- Relativistic Causal Fluid dynamic Equation.- Numerical Analysis of Transport Coefficients and Relaxation Times.- Reactive Multi-component Systems.- Non-relativistic Case and Application to Cold Atoms.- Summary and Future Prospects.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Renormalization Group Theory in Differential Equations;Asymptotic Analysis of Differential Equations;Krylov-Bogoliubov-Mitropolsky Theory;Kuramoto's Formulation of Generalized Reduction Theory;Ei-Fujii-Kunihiro Formulation;The Doublet Scheme;Fluid Dynamic Limits of Boltzmann Equation;Causal Relativistic Fluid Dynamic Equations
