Non-classical phase transitions at a sonic point
The relevant mathematical features of phase transition for a general hyperbolic nonlinear system near a sonic discontinuity are clarified. A well-posed Riemann's problem is obtained, including non-classical undercompressive shocks, defined by a geometrical kinetic relation. A counterpart is the...
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| Format: | Article |
| Language: | English |
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Texas State University
2003-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/22/abstr.html |
| _version_ | 1811275916039421952 |
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| author | Monique Sable-Tougeron |
| author_facet | Monique Sable-Tougeron |
| author_sort | Monique Sable-Tougeron |
| collection | DOAJ |
| description | The relevant mathematical features of phase transition for a general hyperbolic nonlinear system near a sonic discontinuity are clarified. A well-posed Riemann's problem is obtained, including non-classical undercompressive shocks, defined by a geometrical kinetic relation. A counterpart is the geometrical rejection of some compressive shocks. The result is consistent with the structure profiles of the elasticity model of Shearer-Yang and the combustion model of Majda. |
| first_indexed | 2024-04-12T23:46:01Z |
| format | Article |
| id | doaj.art-a301429552bf49ab8495d64c496d6147 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T23:46:01Z |
| publishDate | 2003-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a301429552bf49ab8495d64c496d61472022-12-22T03:11:51ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-03-01200322128Non-classical phase transitions at a sonic pointMonique Sable-TougeronThe relevant mathematical features of phase transition for a general hyperbolic nonlinear system near a sonic discontinuity are clarified. A well-posed Riemann's problem is obtained, including non-classical undercompressive shocks, defined by a geometrical kinetic relation. A counterpart is the geometrical rejection of some compressive shocks. The result is consistent with the structure profiles of the elasticity model of Shearer-Yang and the combustion model of Majda.http://ejde.math.txstate.edu/Volumes/2003/22/abstr.htmlHyperbolicphase transitionChapman-Jouguet regimekinetic relation. |
| spellingShingle | Monique Sable-Tougeron Non-classical phase transitions at a sonic point Electronic Journal of Differential Equations Hyperbolic phase transition Chapman-Jouguet regime kinetic relation. |
| title | Non-classical phase transitions at a sonic point |
| title_full | Non-classical phase transitions at a sonic point |
| title_fullStr | Non-classical phase transitions at a sonic point |
| title_full_unstemmed | Non-classical phase transitions at a sonic point |
| title_short | Non-classical phase transitions at a sonic point |
| title_sort | non classical phase transitions at a sonic point |
| topic | Hyperbolic phase transition Chapman-Jouguet regime kinetic relation. |
| url | http://ejde.math.txstate.edu/Volumes/2003/22/abstr.html |
| work_keys_str_mv | AT moniquesabletougeron nonclassicalphasetransitionsatasonicpoint |