LEADER 05261nam 22007575 450 001 9910300252303321 005 20251116150928.0 010 $a1-4939-2950-X 024 7 $a10.1007/978-1-4939-2950-4 035 $a(CKB)3710000000473921 035 $a(EBL)4178111 035 $a(SSID)ssj0001585163 035 $a(PQKBManifestationID)16265780 035 $a(PQKBTitleCode)TC0001585163 035 $a(PQKBWorkID)14865753 035 $a(PQKB)11487965 035 $a(DE-He213)978-1-4939-2950-4 035 $a(MiAaPQ)EBC4178111 035 $a(PPN)190525029 035 $a(EXLCZ)993710000000473921 100 $a20150911d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHamiltonian partial differential equations and applications /$fedited by Philippe Guyenne, David Nicholls, Catherine Sulem 205 $a1st ed. 2015. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015. 215 $a1 online resource (454 p.) 225 1 $aFields Institute Communications,$x1069-5265 ;$v75 300 $aDescription based upon print version of record. 311 08$a1-4939-2949-6 320 $aIncludes bibliographical references at the end of each chapters. 327 $aHamiltonian 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). 330 $aThis book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field?s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to cosmology, fluid mechanics and water waves. The volume contains both surveys and original research papers and gives a concise overview of the above topics, with results ranging from mathematical modeling to rigorous analysis and numerical simulation. It will be of particular interest to graduate students as well as researchers in mathematics and physics, who wish to learn more about the powerful and elegant analytical techniques for Hamiltonian partial differential equations. 410 0$aFields Institute Communications,$x1069-5265 ;$v75 606 $aDifferential equations, Partial 606 $aGravitation 606 $aDynamics 606 $aErgodic theory 606 $aFunctional analysis 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aDifferential equations, Partial. 615 0$aGravitation. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aFunctional analysis. 615 14$aPartial Differential Equations. 615 24$aClassical and Quantum Gravitation, Relativity Theory. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aFunctional Analysis. 676 $a515.353 702 $aGuyenne$b Philippe$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNicholls$b David$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSulem$b Catherine$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300252303321 996 $aHamiltonian partial differential equations and applications$91522452 997 $aUNINA