| 书目名称 | From Hyperbolic Systems to Kinetic Theory | | 副标题 | A Personalized Quest | | 编辑 | Luc Tartar | | 视频video | | | 丛书名称 | Lecture Notes of the Unione Matematica Italiana | | 图书封面 |  | | 描述 | .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!. | | 出版日期 | Book 2008 | | 关键词 | Navier-Stokes equation; conservation laws; fluid mechanics; heat equation; hyperbolic systems; interactin | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-77562-1 | | isbn_softcover | 978-3-540-77561-4 | | isbn_ebook | 978-3-540-77562-1Series ISSN 1862-9113 Series E-ISSN 1862-9121 | | issn_series | 1862-9113 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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发表于 2025-3-21 19:36:02
