We review the concept of well-posedness in the context of evolutionary problems from mathematical physics for a particular subclass of problems from elasticity theory modeling solids with micro-structure. The complexity of physical phenomena appears as encoded in so called material laws. The usefulness of the structural perspective developed is illustrated by showing that many initial boundary value problems in the theory of such elastic solids share the same type of solution theory. Moreover, interconnections of the respective models are discussed via a previously introduced mother/descendant mechanism.
|Number of pages||26|
|Journal||Zeitschrift fur Angewandte Mathematik und Mechanik|
|Early online date||12 Mar 2014|
|Publication status||Published - 31 Jul 2015|
- elasticity theory
- boundary value problem
Picard, R., Trostorff, S., & Waurick, M. (2015). On some models for elastic solids with micro-structure. Zeitschrift fur Angewandte Mathematik und Mechanik, 95(7), 664-689. https://doi.org/10.1002/zamm.201300297