{"product_id":"global-regularity-for-2d-water-waves-with-surface-tension-9781470431037","title":"Global Regularity for 2D Water Waves with Surface","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eExamines the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and proves global regularity and modified scattering for suitably small and localized perturbations of a flat interface.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003ePreliminaries\u003c\/li\u003e\n\u003cli\u003eDerivation of the main scalar equation\u003c\/li\u003e\n\u003cli\u003eEnergy estimates I: high Sobolev estimates\u003c\/li\u003e\n\u003cli\u003eEnergy estimates II: low frequencies\u003c\/li\u003e\n\u003cli\u003eEnergy estimates III: weighted estimates for high frequencies\u003c\/li\u003e\n\u003cli\u003eEnergy estimates IV: weighted estimates for low frequencies\u003c\/li\u003e\n\u003cli\u003eDecay estimates\u003c\/li\u003e\n\u003cli\u003eProof of Lemma 8.6\u003c\/li\u003e\n\u003cli\u003eModified scattering\u003c\/li\u003e\n\u003cli\u003eAppendix A. Analysis of symbols\u003c\/li\u003e\n\u003cli\u003eAppendix B. The Dirichlet-Neumann operator\u003c\/li\u003e\n\u003cli\u003eAppendix C. Elliptic bounds\u003c\/li\u003e\n\u003cli\u003eBibliography.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041304351063,"sku":"9781470431037","price":62.1,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470431037.jpg?v=1740181792","url":"https:\/\/bookcurl.com\/products\/global-regularity-for-2d-water-waves-with-surface-tension-9781470431037","provider":"Book Curl","version":"1.0","type":"link"}