Elements of Continuum Mechanics and Conservation Laws:
Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The the...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
2003
|
| Edition: | 1st ed. 2003 |
| Subjects: | |
| Online Access: | UBY01 Volltext |
| Summary: | Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials |
| Physical Description: | 1 Online-Ressource (VIII, 258 p) |
| ISBN: | 9781475751178 |
| DOI: | 10.1007/978-1-4757-5117-8 |
Staff View
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| author | Godunov, S.K Romenskii, Evgenii I. |
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| discipline | Physik Informatik Mathematik |
| discipline_str_mv | Physik Informatik Mathematik |
| doi_str_mv | 10.1007/978-1-4757-5117-8 |
| edition | 1st ed. 2003 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9781475751178 |
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| spelling | Godunov, S.K. Verfasser aut Elements of Continuum Mechanics and Conservation Laws by S.K. Godunov, Evgenii I. Romenskii 1st ed. 2003 New York, NY Springer US 2003 1 Online-Ressource (VIII, 258 p) txt rdacontent c rdamedia cr rdacarrier Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials Numeric Computing Applications of Mathematics Fluid- and Aerodynamics Solid Mechanics Mathematical and Computational Engineering Classical Mechanics Numerical analysis Applied mathematics Engineering mathematics Fluids Mechanics Mechanics, Applied Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s DE-604 Romenskii, Evgenii I. aut Erscheint auch als Druck-Ausgabe 9781441933997 Erscheint auch als Druck-Ausgabe 9780306477355 Erscheint auch als Druck-Ausgabe 9781475751185 https://doi.org/10.1007/978-1-4757-5117-8 Verlag URL des Eerstveröffentlichers Volltext |
| spellingShingle | Godunov, S.K Romenskii, Evgenii I. Elements of Continuum Mechanics and Conservation Laws Numeric Computing Applications of Mathematics Fluid- and Aerodynamics Solid Mechanics Mathematical and Computational Engineering Classical Mechanics Numerical analysis Applied mathematics Engineering mathematics Fluids Mechanics Mechanics, Applied Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)4032296-8 |
| title | Elements of Continuum Mechanics and Conservation Laws |
| title_auth | Elements of Continuum Mechanics and Conservation Laws |
| title_exact_search | Elements of Continuum Mechanics and Conservation Laws |
| title_exact_search_txtP | Elements of Continuum Mechanics and Conservation Laws |
| title_full | Elements of Continuum Mechanics and Conservation Laws by S.K. Godunov, Evgenii I. Romenskii |
| title_fullStr | Elements of Continuum Mechanics and Conservation Laws by S.K. Godunov, Evgenii I. Romenskii |
| title_full_unstemmed | Elements of Continuum Mechanics and Conservation Laws by S.K. Godunov, Evgenii I. Romenskii |
| title_short | Elements of Continuum Mechanics and Conservation Laws |
| title_sort | elements of continuum mechanics and conservation laws |
| topic | Numeric Computing Applications of Mathematics Fluid- and Aerodynamics Solid Mechanics Mathematical and Computational Engineering Classical Mechanics Numerical analysis Applied mathematics Engineering mathematics Fluids Mechanics Mechanics, Applied Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Numeric Computing Applications of Mathematics Fluid- and Aerodynamics Solid Mechanics Mathematical and Computational Engineering Classical Mechanics Numerical analysis Applied mathematics Engineering mathematics Fluids Mechanics Mechanics, Applied Kontinuumsmechanik |
| url | https://doi.org/10.1007/978-1-4757-5117-8 |
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