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From Hyperbolic Systems to Kinetic Theory: A Personalized Quest (2008)

From Hyperbolic Systems to Kinetic Theory

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"From Hyperbolic Systems to Kinetic Theory" by Luc Tartar is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This fascinating book, penned by Luc Tartar of America’s Carnegie Mellon University, starts from the premise that equations of state are not always effective in continuum mechanics. Tartar relies on H-measures, a tool created for homogenization, to explain some of the weaknesses in the theory. These include looking at the subject from the point of view of quantum mechanics. Here, there are no "particles", so the Boltzmann equation and the second principle, can’t apply.

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Best For: Students and researchers in physics and applied mathematics focusing on continuum mechanics and kinetic theory.
Focus: Exploring the limitations of equations of state in continuum mechanics using H-measures and connections to quantum mechanics.
Covers: Mathematical tools like H-measures for homogenization, analysis of hyperbolic systems, and kinetic theory in physics.
Why It Matters: It addresses fundamental weaknesses in traditional continuum mechanics models and offers a mathematical perspective linking classical and quantum approaches.

"From Hyperbolic Systems to Kinetic Theory" by Luc Tartar is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: Luc Tartar

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This fascinating book, penned by Luc Tartar of America’s Carnegie Mellon University, starts from the premise that equations of state are not always effective in continuum mechanics. Tartar relies on H-measures, a tool created for homogenization, to explain some of the weaknesses in the theory. These include looking at the subject from the point of view of quantum mechanics. Here, there are no "particles", so the Boltzmann equation and the second principle, can’t apply.

AuthorLuc Tartar
PublisherSpringer
Published2008-02-29
ISBN-139783540775614
BindingPaperback
Pages282
LanguageEnglish
SubjectsMathematics
TopicDynamics
SeriesLecture Notes Of The Unione Matematica Italiana

Format: Paperback

Length: 282 pages

Language: English

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