A contraction mapping (or, alternatively, an implicit function theory) argument is applied in combination with the Fredholm alternative to prove the existence of a unique stationary solution of the non-linear Boltzmann equation on a bounded spatial domain under a rather general reflection law at the
From the Boltzmann equation to the Stokes-Fourier system in a bounded domain
β Scribed by Nader Masmoudi; Laure Saint-Raymond
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 293 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0010-3640
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## Abstract We prove the Lipschitz continuous dependence on initial data of global spherically symmetric weak solutions to the NavierβStokes equations of a viscous polytropic ideal gas in bounded annular domains with the initial data in the Lebesgue spaces. Copyright Β© 2007 John Wiley & Sons, Ltd.
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