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9781470480875 Academic Inspection Copy

Derivation of the Wave Kinetic Equation: Full Range of Scaling Laws

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Yu Deng, University of Chicago, Illinois. Zaher Hani, University of Michigan, Ann Arbor, Michigan
Chapters; 1. Introduction; 2. Preparations; 3. Overview of the proof; 4. Couples and molecules; 5. Vines and twists; 6. $\mathcal {K}_\mathcal {Q}$ estimates for regular couples and regular trees; 7. $\mathcal {K}_\mathcal {Q}$ estimates for vines; 8. Reduction to counting estimates; 9. Reduction to large gap molecules; 10. Counting problem for large gap molecules; 11. Linearization and the end of the proof; A. Auxiliary results; B. The algorithm for large gap molecules
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