Hysteresis and Phase Transitions /
This book presents a mathematical analysis of hysteretic phenomena, where two complementary viewpoints are taken: at first, scalar rate independent hysteresis is studied in a general setting that is based on the interplay between a discrete diagram-oriented and a function space approach: later, the...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1996.
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| Series: | Applied mathematical sciences (Springer-Verlag New York Inc.) ;
121. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book presents a mathematical analysis of hysteretic phenomena, where two complementary viewpoints are taken: at first, scalar rate independent hysteresis is studied in a general setting that is based on the interplay between a discrete diagram-oriented and a function space approach: later, the connections between the occurrence of hysteresis and physical mechanisms like energy dissipation and phase transitions are discussed. The exposition ranges from the thermodynamic foundation of phenomenological theories of phase transitions over the variational formulation of the resulting initial-boundary value problems to the rigorous proof of results concerning existence, uniqueness and numerical approximation. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 372 pages 43 illustrations) |
| ISBN: | 9781461240488 (electronic bk.) 1461240484 (electronic bk.) |
| ISSN: | 0066-5452 ; |