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Hamiltonian partial differential equations and applications[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.353
書名/作者:	Hamiltonian partial differential equations and applications/ edited by Philippe Guyenne, David Nicholls, Catherine Sulem.
其他作者:	Guyenne, Philippe.
出版者:	New York, NY : : Springer New York :, 2015.
面頁冊數:	x, 449 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Partial.
標題:	Hamiltonian operator.
標題:	Mathematics.
標題:	Partial Differential Equations.
標題:	Classical and Quantum Gravitation, Relativity Theory.
標題:	Dynamical Systems and Ergodic Theory.
標題:	Functional Analysis.
ISBN:	9781493929504
ISBN:	9781493929498
內容註:	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、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-2950-4

Hamiltonian partial differential equations and applications[electronic resource] /
Hamiltonian partial differential equations and applications[electronic resource] /edited by Philippe Guyenne, David Nicholls, Catherine Sulem. - New York, NY :Springer New York :2015. - x, 449 p. :ill. (some col.), digital ;24 cm. - Fields institute communications,v.751069-5265 ;. - Fields institute communications ;v.72..

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)

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.

ISBN: 9781493929504

Standard No.: 10.1007/978-1-4939-2950-4doiSubjects--Topical Terms:

389324
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

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520 $a 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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