Evolutional dynamics and stability of dissipative solids
β Scribed by B. A. Smolnikov; Alexander K. Belyaev
- Publisher
- Springer Vienna
- Year
- 2008
- Tongue
- English
- Weight
- 416 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0001-5970
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A new definition of dissipativity is proposed. It is purely in terms of the rate of supply that goes in and out of a dynamical system. It is proven that dissipativity is equivalent to the existence of a nonβnegative storage. Several results regarding the dissipativity of systems defined
In this work, we identify an instability in strictly upwind finite difference schemes when they are applied to the Euler equations in more than one space dimension. We suggest that the well known carbuncle phenomenon is a manifestation of this instability. The usual dimension by dimension extension