In this paper an initial-boundary-value problem in one-space dimension is studied for the Broadwell model extended to a gas mixture undergoing bimolecular reactions. Techniques of semigroup of bounded positive operators in a suitable Banach space are used to prove existence and uniqueness of the sol
A boundary value problem for the spherically symmetric motion of a pressureless gas with a temperature-dependent viscosity
✍ Scribed by Bernard Ducomet; Šárka Nečasová
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 222 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1123
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✦ Synopsis
Abstract
We consider an initial‐boundary value problem for the equations of spherically symmetric motion of a pressureless gas with temperature‐dependent viscosity µ(θ) and conductivity κ(θ). We prove that this problem admits a unique weak solution, assuming Belov's functional relation between µ(θ) and κ(θ) and we give the behaviour of the solution for large times. Copyright © 2009 John Wiley & Sons, Ltd.
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