## Abstract The notion of a measure‐valued solution for the Euler and the Navier‐Stokes equations is introduced and its global in time existence is proved.
A principle of linearization and the uniform asymptotic stability of solutions of the Navier–Stokes equations for compressible isothermic fluids
✍ Scribed by Jiří Neustupa
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 644 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Abstract
We prove the correctness of a principle of linearization in the investigation of the uniform asymptotic stability of a sufficiently smooth, but generally non‐steady, solution of the Navier‐Stokes equations for compressible fluids in the case of a constant temperature.
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