Ai, Albert. creator author. aut http://id.loc.gov/vocabulary/relators/aut Alazard, Thomas. author. aut http://id.loc.gov/vocabulary/relators/aut Ifrim, Mihaela. author. aut http://id.loc.gov/vocabulary/relators/aut Tataru, Daniel. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

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electronic resource

access XIV, 362 p. 13 illus., 11 illus. in color. online resource. This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Euler’s equations in general. A particular set of such problems is given by gaseous stars considered in a vacuum (modeled via the compressible Euler equations) as well as water waves in their full generality (seen as recasts of incompressible irrotational Euler equations). This is a broad research area which is highly relevant to many real life problems, and in which substantial progress has been made in the last decade. - The water-wave equations in Eulerian coordinates -- Strichartz Estimates for Water Waves -- Local and global dynamics for two dimensional gravity water waves -- Free boundary problems for compressible flows. by Albert Ai, Thomas Alazard, Mihaela Ifrim, Daniel Tataru. Differential equations Global analysis (Mathematics) Manifolds (Mathematics) Differential Equations Global Analysis and Analysis on Manifolds QA370-380 9783031604522 https://doi.org/10.1007/978-3-031-60452-2 https://doi.org/10.1007/978-3-031-60452-2 240619 20251030112320.0 978-3-031-60452-2