Rational Extended Thermodynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Ausgabe: | 2 |
| Schriftenreihe: | Springer Tracts in Natural Philosophy
37 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of highfrequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are - field equations of balance type, - constitutive quantities depending on the present local state and - entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propagation. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium variables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions-- derived from the entropy principle- take the form of integrability conditions |
| Beschreibung: | 1 Online-Ressource (XV, 396p. 84 illus) |
| ISBN: | 9781461222101 9781461274605 |
| ISSN: | 0081-3877 |
| DOI: | 10.1007/978-1-4612-2210-1 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042419997 | ||
| 003 | DE-604 | ||
| 005 | 20221202 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1998 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461222101 |c Online |9 978-1-4612-2210-1 | ||
| 020 | |a 9781461274605 |c Print |9 978-1-4612-7460-5 | ||
| 024 | 7 | |a 10.1007/978-1-4612-2210-1 |2 doi | |
| 035 | |a (OCoLC)1165443060 | ||
| 035 | |a (DE-599)BVBBV042419997 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 536.7 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Müller, Ingo |d 1936- |e Verfasser |0 (DE-588)128217863 |4 aut | |
| 245 | 1 | 0 | |a Rational Extended Thermodynamics |c by Ingo Müller, Tomasso Ruggeri |
| 250 | |a 2 | ||
| 264 | 1 | |a New York, NY |b Springer New York |c 1998 | |
| 300 | |a 1 Online-Ressource (XV, 396p. 84 illus) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Springer Tracts in Natural Philosophy |v 37 |x 0081-3877 | |
| 500 | |a Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of highfrequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are - field equations of balance type, - constitutive quantities depending on the present local state and - entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propagation. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium variables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions-- derived from the entropy principle- take the form of integrability conditions | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Thermodynamics | |
| 650 | 4 | |a Statistical Physics, Dynamical Systems and Complexity | |
| 650 | 0 | 7 | |a Kinetische Gastheorie |0 (DE-588)4163881-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kinetische Gastheorie |0 (DE-588)4163881-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Ruggeri, Tommaso |d 1947- |e Sonstige |0 (DE-588)1084792990 |4 oth | |
| 830 | 0 | |a Springer Tracts in Natural Philosophy |v 37 |w (DE-604)BV045251612 |9 37 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-2210-1 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027855414 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153091330670592 |
|---|---|
| any_adam_object | |
| author | Müller, Ingo 1936- |
| author_GND | (DE-588)128217863 (DE-588)1084792990 |
| author_facet | Müller, Ingo 1936- |
| author_role | aut |
| author_sort | Müller, Ingo 1936- |
| author_variant | i m im |
| building | Verbundindex |
| bvnumber | BV042419997 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1165443060 (DE-599)BVBBV042419997 |
| dewey-full | 536.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 536 - Heat |
| dewey-raw | 536.7 |
| dewey-search | 536.7 |
| dewey-sort | 3536.7 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2210-1 |
| edition | 2 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03679nmm a2200529zcb4500</leader><controlfield tag="001">BV042419997</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20221202 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1998 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461222101</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-2210-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461274605</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-7460-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-2210-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165443060</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419997</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">536.7</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Müller, Ingo</subfield><subfield code="d">1936-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)128217863</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Rational Extended Thermodynamics</subfield><subfield code="c">by Ingo Müller, Tomasso Ruggeri</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XV, 396p. 84 illus)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Springer Tracts in Natural Philosophy</subfield><subfield code="v">37</subfield><subfield code="x">0081-3877</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of highfrequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are - field equations of balance type, - constitutive quantities depending on the present local state and - entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propagation. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium variables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions-- derived from the entropy principle- take the form of integrability conditions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Thermodynamics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistical Physics, Dynamical Systems and Complexity</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kinetische Gastheorie</subfield><subfield code="0">(DE-588)4163881-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtgleichgewichtsthermodynamik</subfield><subfield code="0">(DE-588)4130850-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kinetische Gastheorie</subfield><subfield code="0">(DE-588)4163881-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Nichtgleichgewichtsthermodynamik</subfield><subfield code="0">(DE-588)4130850-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ruggeri, Tommaso</subfield><subfield code="d">1947-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1084792990</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Springer Tracts in Natural Philosophy</subfield><subfield code="v">37</subfield><subfield code="w">(DE-604)BV045251612</subfield><subfield code="9">37</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-2210-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855414</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042419997 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461222101 9781461274605 |
| issn | 0081-3877 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855414 |
| oclc_num | 1165443060 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XV, 396p. 84 illus) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer New York |
| record_format | marc |
| series | Springer Tracts in Natural Philosophy |
| series2 | Springer Tracts in Natural Philosophy |
| spelling | Müller, Ingo 1936- Verfasser (DE-588)128217863 aut Rational Extended Thermodynamics by Ingo Müller, Tomasso Ruggeri 2 New York, NY Springer New York 1998 1 Online-Ressource (XV, 396p. 84 illus) txt rdacontent c rdamedia cr rdacarrier Springer Tracts in Natural Philosophy 37 0081-3877 Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of highfrequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are - field equations of balance type, - constitutive quantities depending on the present local state and - entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propagation. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium variables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions-- derived from the entropy principle- take the form of integrability conditions Physics Thermodynamics Statistical Physics, Dynamical Systems and Complexity Kinetische Gastheorie (DE-588)4163881-5 gnd rswk-swf Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd rswk-swf Kinetische Gastheorie (DE-588)4163881-5 s 1\p DE-604 Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 s 2\p DE-604 Ruggeri, Tommaso 1947- Sonstige (DE-588)1084792990 oth Springer Tracts in Natural Philosophy 37 (DE-604)BV045251612 37 https://doi.org/10.1007/978-1-4612-2210-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Müller, Ingo 1936- Rational Extended Thermodynamics Springer Tracts in Natural Philosophy Physics Thermodynamics Statistical Physics, Dynamical Systems and Complexity Kinetische Gastheorie (DE-588)4163881-5 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| subject_GND | (DE-588)4163881-5 (DE-588)4130850-5 |
| title | Rational Extended Thermodynamics |
| title_auth | Rational Extended Thermodynamics |
| title_exact_search | Rational Extended Thermodynamics |
| title_full | Rational Extended Thermodynamics by Ingo Müller, Tomasso Ruggeri |
| title_fullStr | Rational Extended Thermodynamics by Ingo Müller, Tomasso Ruggeri |
| title_full_unstemmed | Rational Extended Thermodynamics by Ingo Müller, Tomasso Ruggeri |
| title_short | Rational Extended Thermodynamics |
| title_sort | rational extended thermodynamics |
| topic | Physics Thermodynamics Statistical Physics, Dynamical Systems and Complexity Kinetische Gastheorie (DE-588)4163881-5 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| topic_facet | Physics Thermodynamics Statistical Physics, Dynamical Systems and Complexity Kinetische Gastheorie Nichtgleichgewichtsthermodynamik |
| url | https://doi.org/10.1007/978-1-4612-2210-1 |
| volume_link | (DE-604)BV045251612 |
| work_keys_str_mv | AT mulleringo rationalextendedthermodynamics AT ruggeritommaso rationalextendedthermodynamics |