1.

Record Nr.

UNINA9910866577803321

Autore

Ai Albert

Titolo

Free Boundary Problems in Fluid Dynamics / / by Albert Ai, Thomas Alazard, Mihaela Ifrim, Daniel Tataru

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024

ISBN

9783031604522

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (373 pages)

Collana

Oberwolfach Seminars, , 2296-5041 ; ; 54

Altri autori (Persone)

AlazardThomas

IfrimMihaela

TataruDaniel

Disciplina

515.35

Soggetti

Differential equations

Global analysis (Mathematics)

Manifolds (Mathematics)

Differential Equations

Global Analysis and Analysis on Manifolds

Coordenades

Dinàmica de fluids

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

- 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.

Sommario/riassunto

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.