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Record Nr. |
UNINA9910480757103321 |
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Titolo |
The dynamics of modulated wave trains / / Arjen Doelman [and three others] |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (122 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 199, Number 934 |
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Disciplina |
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Soggetti |
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Reaction-diffusion equations |
Approximation theory |
Burgers equation |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 199, Number 934 (fifth of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Notation""; ""Chapter 1. Introduction""; ""1.1. Grasshopper's guide""; ""1.2. Slowly-varying modulations of nonlinear wave trains""; ""1.3. Predictions from the Burgers equation""; ""1.4. Verifying the predictions made from the Burgers equation""; ""1.5. Related modulation equations""; ""1.6. References to related works""; ""Chapter 2. The Burgers equation""; ""2.1. Decay estimates""; ""2.2. Fronts in the Burgers equation""; ""Chapter 3. The complex cubic Ginzburg�Landau equation""; ""3.1. Set-up""; ""3.2. Slowly-varying modulations of the k = 0 wave train: Results"" |
""3.3. Derivation of the Burgers equation""""3.4. The construction of higher-order approximations""; ""3.5. The approximation theorem for the wave numbers""; ""3.6. Mode filters, and separation into critical and noncritical modes""; ""3.7. Estimates of the linear semigroups""; ""3.8. Estimates of the residual""; ""3.9. Estimates of the errors""; ""3.10. Proofs of the theorems from Â3.2""; ""Chapter 4. Reaction-diffusion equations: Set-up and results""; ""4.1. The abstract set-up""; ""4.2. Expansions of the linear and nonlinear dispersion relations"" |
""4.3. Formal derivation of the Burgers equation""""4.4. Validity of the Burgers equation""; ""4.5. Existence and stability of weak shocks""; |
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""Chapter 5. Validity of the Burgers equation in reaction-diffusion equations""; ""5.1. From phases to wave numbers""; ""5.2. Bloch-wave analysis""; ""5.3. Mode filters, and separation into critical and noncritical modes""; ""5.4. Estimates for residuals and errors""; ""5.5. Proofs of the theorems from Â4.4""; ""Chapter 6. Validity of the inviscid Burgers equation in reaction-diffusion systems""; ""6.1. An illustration: The Ginzburgâ€?Landau equation"" |
""6.2. Formal derivation of the conservation law""""6.3. Validity of the inviscid Burgers equation""; ""6.4. Proof of the theorems from Â6.3""; ""Chapter 7. Modulations of wave trains near sideband instabilities""; ""7.1. Introduction""; ""7.2. An illustration: The Ginzburgâ€?Landau equation""; ""7.3. Validity of the Kortewegâ€?de Vries and the Kuramotoâ€?Sivashinsky equation""; ""7.4. Proof of Theorem 7.2""; ""7.5. Proof of Theorem 7.5""; ""Chapter 8. Existence and stability of weak shocks""; ""8.1. Proof of Theorem 4.10""; ""8.2. Proof of Theorem 4.12"" |
""Chapter 9. Existence of shocks in the long-wavelength limit""""9.1. A lattice model for weakly interacting pulses""; ""9.2. Proof of Theorem 9.2""; ""Chapter 10. Applications""; ""10.1. The FitzHugh�Nagumo equation""; ""10.2. The weakly unstable Taylor�Couette problem""; ""Bibliography"" |
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2. |
Record Nr. |
UNINA9910461089903321 |
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Autore |
Cruysmans Edouard |
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Titolo |
Les défauts de la chose : responsabilités contractuelle et extracontractuelle / / Edouard Cruysmans [and ten others] ; sous la coordination de Catherine Delforge et Jean van Zuylen |
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Pubbl/distr/stampa |
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Limal : , : Anthemis, , [2015] |
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©2015 |
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ISBN |
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2-87455-875-3 |
2-8072-0001-X |
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Descrizione fisica |
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1 online resource (456 pages) |
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Disciplina |
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Soggetti |
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Obligations (Law) - Belgium |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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