Young-Measure Quasi-Static Damage Evolution
β Scribed by Alice Fiaschi; Dorothee Knees; Ulisse Stefanelli
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 396 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
The slow dynamical evolution of solar atmospheric magnetic field structures via the equilibrium equation has been the subject of a number of investigations. In many of these studies the quasi-static evolution of the field and the associated plasma has been investigated for a single arcade structure.
## Abstract We introduce a new definition of stability, Ξ΅βstability, that implies local minimality and is robust enough for passing from discreteβtime to continuousβtime quasiβstatic evolutions, even with very irregular energies. We use this to give the first existence result for quasiβstatic crack
We consider in the half-space (z >0) a simple-topology force-free magnetic field B embedded in a highly conducting plasma (resistivity a) and its quasi-static evolution driven by motions imposed to the feet of its lines on the boundary {z = 0). We first study the case when B is an x-invariant arcad