Free Boundary Problems in Fluid Dynamics [electronic resource] /
by Albert Ai, Thomas Alazard, Mihaela Ifrim, Daniel Tataru.
- 1st ed. 2024.
- XIV, 362 p. 13 illus., 11 illus. in color. online resource.
- Oberwolfach Seminars, 54 2296-5041 ; .
- Oberwolfach Seminars, 54 .
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.
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.