Boltzmann Equation with Infinite Energy: Renormalized Solutions and Distributional Solutions for Small Initial Data and Initial Data Close to a Maxwellian
โ Scribed by Mischler, S.; Perthame, B.
- Book ID
- 118200168
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1997
- Tongue
- English
- Weight
- 323 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0036-1410
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๐ SIMILAR VOLUMES
## Abstract Suppose __u__ is the solution of the initial value problem Suppose __n__ โฅ 1 is odd, __f__ and __g__ are supported in a ball __B__ with boundary __S__, and one of __f__ or __g__ is zero. We derive identities relating the norm of __f__ or __g__ to the norm of the trace of __u__ on __S_
We extend to general polytropic pressures P(p)= KpT,7 > 1, the existence theory of [8] for isothermal (7 = 1) flows of Navier-Stokes fluids in two and three space dimensions, with fairly general initial data. Specifically, we require that the initial density be close to a constant in L 2 and L ~~ an