{"product_id":"quasiperiodic-solutions-of-the-generalized-sqg-equation-paperback","title":"Quasiperiodic Solutions of the Generalized Sqg Equation - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJavier Gómez-Serrano\u003c\/b\u003e (Author), \u003cb\u003eAlexandru D. Ionescu\u003c\/b\u003e (Author), \u003cb\u003eJaemin Park\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eNew, broadly applicable, parameter-free techniques for constructing stable quasiperiodic solutions of quasilinear evolution equations\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThis monograph addresses an important problem in mathematical fluid dynamics: constructing stable, long-term solutions to certain quasilinear evolution equations. The authors implement an ingenious scheme for building global quasiperiodic solutions without relying on external parameters, instead exploiting the natural structure of initial data to generate families of stable solutions. This approach offers a more robust framework for studying global solutions of quasilinear PDEs. \u003cp\u003e\u003c\/p\u003eThe book combines techniques from KAM theory, a Nash-Moser iteration scheme, and pseudodifferential calculus, and provides tools that extend beyond the specific SQG context and may prove useful for other evolution equations. Specifically, the authors establish the existence of quasiperiodic patch solutions for the generalized Surface Quasi-Geostrophic (SQG) equation across the parameter range $\\alpha \\in (1,2)$, in a neighborhood of the disk solution. These solutions exist globally in time without developing singularities, which sheds light on an important question about the behavior of geophysical fluid models. This work provides new insights into global dynamics in a mathematically challenging regime where standard perturbative methods are insufficient. And the techniques developed here offer potential applications to other evolution equations in mathematical physics, making this a valuable resource for researchers in partial differential equations, fluid dynamics, and related fields.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eJavier Gómez-Serrano\u003c\/b\u003e is professor of mathematics at Brown University. \u003cb\u003eAlexandru D. Ionescu\u003c\/b\u003e is professor of mathematics at Princeton University and the coauthor of \u003ci\u003eThe Einstein-Klein-Gordon Coupled System\u003c\/i\u003e (Princeton). \u003cb\u003eJaemin Park\u003c\/b\u003e is assistant professor of mathematics at Yonsei University in Seoul.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 376\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.78 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 02, 2026\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":53522205999411,"sku":"9780691280509","price":135.25,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/lYxPskW01a9780691280509.webp?v=1781966799","url":"https:\/\/www.vysn.com\/en-ca\/products\/quasiperiodic-solutions-of-the-generalized-sqg-equation-paperback","provider":"VYSN","version":"1.0","type":"link"}