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By Shlomo Sternberg
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Extra resources for Celestial Mechanics. Part II
Example text
3. 1 Each non-conventional thermoelastic process in the L–S (or G–L) theory is more universal than the conventional thermoelastic process in the L–S (or G–L) theory. 2 Each natural non-conventional thermoelastic process in the L–S (or G–L) theory, restricted to a pair of thermomechanical variables that describe it, possesses an equally good physical interpretation as that of a conventional thermoelastic process in the L–S (or G–L) theory. 1 Uniqueness theorems for conventional and non-conventional thermoelastic processes We now state four uniqueness theorems corresponding to the four mixed initialboundary value problems of Chapter 2.
5)3 . 6). 7 36 Formulations of initial-boundary value problems The proof that a MSTP for a thermomechanical loading in the G–L theory is equivalent to a MDTP in that theory is completely analogous. 3. 1 Each non-conventional thermoelastic process in the L–S (or G–L) theory is more universal than the conventional thermoelastic process in the L–S (or G–L) theory. 2 Each natural non-conventional thermoelastic process in the L–S (or G–L) theory, restricted to a pair of thermomechanical variables that describe it, possesses an equally good physical interpretation as that of a conventional thermoelastic process in the L–S (or G–L) theory.
6). 7 36 Formulations of initial-boundary value problems The proof that a MSTP for a thermomechanical loading in the G–L theory is equivalent to a MDTP in that theory is completely analogous. 3. 1 Each non-conventional thermoelastic process in the L–S (or G–L) theory is more universal than the conventional thermoelastic process in the L–S (or G–L) theory. 2 Each natural non-conventional thermoelastic process in the L–S (or G–L) theory, restricted to a pair of thermomechanical variables that describe it, possesses an equally good physical interpretation as that of a conventional thermoelastic process in the L–S (or G–L) theory.