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On the initial-boundary value problem for the Boltzmann equation

✍ Scribed by Carlo Cercignani

Publisher
Springer
Year
1992
Tongue
English
Weight
389 KB
Volume
116
Category
Article
ISSN
0003-9527

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✦ Synopsis

A theorem on the traces of the solutions of initial-boundary value problems for the Boltzmann equation is proved. This result makes it possible to extend a recent theorem of existence proved by I-IAMDACHE to more realistic situations.

πŸ“œ SIMILAR VOLUMES

The initial boundary value problem for t
The initial boundary value problem for the SchrΓΆudinger equation
✍ Leif Abrahamsson; Heinz-Otto Kreiss πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 243 KB

## Abstract We study the stability properties of the one‐dimensional SchrΓΆdinger equation with boundary conditions that involve the derivative in the direction of propagation (or time). We show that this type of boundary condition might cause a strong growth of the amplitude of the solution. Such a