Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
From Hyperbolic Systems to Kinetic Theory: A Personalized Quest
.
Bookmark this Record
Catalogue Record 27290
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 27290
.
Reviews
Catalogue Record 27290
.
British Library
Resolver for RSN-27290
Google Scholar
Resolver for RSN-27290
WorldCat
Resolver for RSN-27290
Catalogo Nazionale SBN
Resolver for RSN-27290
GoogleBooks
Resolver for RSN-27290
ICTP Library
Resolver for RSN-27290
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
515.353
Title
From Hyperbolic Systems to Kinetic Theory ([Ebook]) : A Personalized Quest / by Luc Tartar.
Author
Tartar, Luc
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 2008.
Physical Details
: online resource.
Series
Lecture Notes of the Unione Matematica Italiana
1862-9113 ; ; 6
ISBN
9783540775621
Summary Note
Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversible Hamiltonian framework? By using probabilities, which destroy physical reality! Forces at distance are non-physical as we know from Poincaré's theory of relativity. Yet Maxwell and Boltzmann only used trajectories like hyperbolas, reasonable for rarefied gases, but wrong without bound trajectories if the "mean free path between collisions" tends to 0. Tartar relies on his H-measures, a tool created for homogenization, to explain some of the weaknesses, e.g. from quantum mechanics: there are no "particles", so the Boltzmann equation and the second principle, can not apply. He examines modes used by energy, proves which equation governs each mode, and conjectures that the result will not look like the Boltzmann equation, and there will be more modes than those indexed by velocity!:
Contents note
Historical Perspective -- Hyperbolic Systems: Riemann Invariants, Rarefaction Waves -- Hyperbolic Systems: Contact Discontinuities, Shocks -- The Burgers Equation and the 1-D Scalar Case -- The 1-D Scalar Case: the E-Conditions of Lax and of Oleinik -- Hopfâs Formulation of the E-Condition of Oleinik -- The Burgers Equation: Special Solutions -- The Burgers Equation: Small Perturbations; the Heat Equation -- Fourier Transform; the Asymptotic Behaviour for the Heat Equation -- Radon Measures; the Law of Large Numbers -- A 1-D Model with Characteristic Speed 1/epsilon -- A 2-D Generalization; the PerronâFrobenius Theory -- A General Finite-Dimensional Model with Characteristic Speed 1/epsilon -- Discrete Velocity Models -- The MimuraâNishida and the CrandallâTartar Existence Theorems -- Systems Satisfying My Condition (S) -- Asymptotic Estimates for the Broadwell and the Carleman Models -- Oscillating Solutions; the 2-D Broadwell Model -- Oscillating Solutions: the Carleman Model -- The Carleman Model: Asymptotic Behaviour -- Oscillating Solutions: the Broadwell Model -- Generalized Invariant Regions; the Varadhan Estimate -- Questioning Physics; from Classical Particles to Balance Laws -- Balance Laws; What Are Forces?- D. Bernoulli: from Masslets and Springs to the 1-D Wave Equation -- Cauchy: from Masslets and Springs to 2-D Linearized Elasticity -- The Two-Body Problem -- The Boltzmann Equation -- The IllnerâShinbrot and the Hamdache Existence Theorems -- The Hilbert Expansion -- Compactness by Integration -- Wave Front Sets; H-Measures -- H-Measures and "Idealized Particles" -- Variants of H-Measures -- Biographical Information -- Abbreviations and Mathematical Notation -- References -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-540-77562-1
Links to Related Works
Subject References:
Classical Continuum Physics
.
Differentiable dynamical systems
.
Differential equations, Partial
.
Dynamical systems and ergodic theory
.
Mathematical Methods in Physics
.
Mathematical Physics
.
Partial differential equations
.
Authors:
Tartar, Luc
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Lecture Notes of the Unione Matematica Italiana
.
Classification:
515.353
.
515.353 (DDC 23)
.
.
ISBD Display
Catalogue Record 27290
.
Tag Display
Catalogue Record 27290
.
Related Works
Catalogue Record 27290
.
Marc XML
Catalogue Record 27290
.
Add Title to Basket
Catalogue Record 27290
.
Catalogue Information 27290
Beginning of record
.
Catalogue Information 27290
Top of page
.
Download Title
Catalogue Record 27290
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
27290
1
27290
-
2
27290
-
3
27290
-
4
27290
-
5
27290
-
Quick Search
Search for