Dynamical stability of compressible drops and stars
✍ Scribed by K. Beyer; M. Günther
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 174 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.592
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✦ Synopsis
Abstract
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.
📜 SIMILAR VOLUMES
The stability of homogeneous, isotropic, compressible, hyperelastic, thick spherical shells subjected to external dead-load traction are investigated within the context of the "nite elasticity theory. The stability of the "nitely deformed state and small, free, radial vibrations about this state are