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Dynamical stability of compressible drops and stars
Author(s) -
Beyer K.,
Günther M.
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.592
Subject(s) - mathematics , linearization , compressibility , mathematical analysis , boundary value problem , cylinder , a priori and a posteriori , stability (learning theory) , space (punctuation) , classical mechanics , geometry , mechanics , nonlinear system , physics , quantum mechanics , computer science , philosophy , linguistics , epistemology , machine learning
Interest is directed to linearized free boundary motion of a compressible liquid subject to surface tension and self‐gravitation respectively. Linearization relative to an a‐priori given solution to the non‐linear equations leads to a non‐local second order evolution problem to be posed in a space‐time cylinder with variable cross section subject to Fréchet boundary conditions along the lateral boundary part. Well‐posedness of the corresponding initial value problem in a natural weak formulation is proved. Copyright © 2005 John Wiley & Sons, Ltd.