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Titlebook: Hamiltonian Partial Differential Equations and Applications; Philippe Guyenne,David Nicholls,Catherine Sulem Book 2015 Springer Science+Bu

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发表于 2025-3-21 18:21:25 | 显示全部楼层 |阅读模式
书目名称Hamiltonian Partial Differential Equations and Applications
编辑Philippe Guyenne,David Nicholls,Catherine Sulem
视频video
丛书名称Fields Institute Communications
图书封面Titlebook: Hamiltonian Partial Differential Equations and Applications;  Philippe Guyenne,David Nicholls,Catherine Sulem Book 2015 Springer Science+Bu
描述.This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to cosmology, fluid mechanics and water waves..The volume contains both surveys and original research papers and gives a concise overview of the above topics, with results ranging from mathematical modeling to rigorous analysis and numerical simulation. It will be of particular interest to graduate students as well as researchers in mathematics and physics, who wish to learn more about the powerful and elegant analytical techniques for Hamiltonian partial differential equations..
出版日期Book 2015
关键词FPU paradox; KAM theory; Taylor dispersion; Vlasov– Dirac–Benney equation; integrable systems; nonlinear
版次1
doihttps://doi.org/10.1007/978-1-4939-2950-4
isbn_softcover978-1-4939-4990-8
isbn_ebook978-1-4939-2950-4Series ISSN 1069-5265 Series E-ISSN 2194-1564
issn_series 1069-5265
copyrightSpringer Science+Business Media New York 2015
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https://doi.org/10.1007/978-1-4757-1370-1 infinite channel. Taylor observed in the 1950s that, in such a setting, the tracer diffuses at a rate proportional to 1∕., rather than the expected rate proportional to .. We provide a mathematical explanation for this enhanced diffusion using a combination of Fourier analysis and center manifold t
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The Physics of the Manhattan Projectquations for a compressible fluid while the evolution of the particle densities is given by the Smoluchowski equation. The coupling between the dispersed and dense phases is obtained through the drag forces that the fluid and particles exert mutually. In the present context, the flow occupies a phys
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The Physics of the Manhattan Projecttion is dissipation (Segur et al., J Fluid Mech 539:229–271, 2005), so in this paper we explore several models in the literature that incorporate various dissipative physical mechanisms. In particular, we seek theoretical models that (1) agree with measured dissipation rates in laboratory and field
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https://doi.org/10.1007/978-1-4613-1051-8ment. In particular we focus on results which persist as the number . of particles tends to infinity. After recalling the FPU experiment and some classical heuristic ideas that have been used for its explanation, we concentrate on more recent rigorous results which are based on the use of (i) canoni
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Jürgen M. Steinacker,Susan A. Ward cases for which the skew-symmetric operator . is singular. We assume that . restricted to the orthogonal complement of its kernel has a bounded inverse. With this assumption and some further genericity conditions we (a) derive an unstable eigenvalue count for the appropriate linearized operator, an
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