- 题名/责任者:
- Hamiltonian Partial Differential Equations and Applications edited by Philippe Guyenne, David Nicholls, Catherine Sulem.
- 版本说明:
- 1st ed. 2015.
- 出版发行项:
- New York, NY : Springer New York : Imprint: Springer, 2015.
- ISBN:
- 9781493929504
- 其它标准号:
- 10.1007/978-1-4939-2950-4
- 载体形态项:
- X, 449 p. 47 illus., 19 illus. in color. online resource.
- 其他载体形态:
- Printed edition: 9781493929498
- 其他载体形态:
- Printed edition: 9781493929511
- 其他载体形态:
- Printed edition: 9781493949908
- 丛编说明:
- Fields Institute Communications, 1069-5265 ; 75
- 丛编统一题名:
- Fields Institute Communications, 75
- 附加个人名称:
- Guyenne, Philippe. editor.
- 附加个人名称:
- Nicholls, David. editor.
- 附加个人名称:
- Sulem, Catherine. editor.
- 附加团体名称:
- SpringerLink (Online service)
- 论题主题:
- Gravitation.
- 论题主题:
- Dynamics.
- 论题主题:
- Ergodic theory.
- 论题主题:
- Functional analysis.
- 论题主题:
- Functional Analysis.
- 内容附注:
- Hamiltonian Structure, Fluid Representation and Stability for the Vlasov–Dirac–Benney Equation (C. Bardos, N. Besse) -- Analysis of Enhanced Diffusion in Taylor Dispersion via a Model Problem (M. Beck, O. Chaudhary, C.E. Wayne) -- Normal Form Transformations for Capillary-Gravity Water Waves (W. Craig, C. Sulem) -- On a Fluid-Particle Interaction Model: Global in Time Weak Solutions Within a Moving Domain in R3 (S. Doboszczak, K. Trivisa) -- Envelope Equations for Three-Dimensional Gravity and Flexural-Gravity Waves Based on a Hamiltonian Approach (P. Guyenne) -- Dissipation of a Narrow-Banded Surface Water Waves (D. Henderson, G.K. Rajan, H. Segur).- The Kelvin–Helmholtz Instabilities in Two-Fluids Shallow Water Models (D. Lannes, M. Ming) -- Some Analytic Results on the FPU Paradox (D. Bambusi, A. Carati, A. Maiocchi, A. Maspero).- A Nash–Moser Approach to KAM Theory (M. Berti, P. Bolle).- On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg–de Vries Equations (T. Kapitula, B. Deconinck).- Time-Averaging for Weakly Nonlinear CGL Equations with Arbitrary Potentials (G. Huang, S. Kuksin, A. Maiocchi).- Partial Differential Equations with Random Noise in Inflationary Cosmology (R.H. Brandenberger).- Local Isometric Immersions of Pseudo-Spherical Surfaces and Evolution Equations (N. Kahouadji, N. Kamran, K. Tenenblat).- IST Versus PDE, A Comparative Study (C. Klein, J.-C. Saut).
- 摘要附注:
- 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.
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