Remarks on vacuum state and uniqueness of concentration process
We give two examples of nonuniqueness of generalized solutions of pressureless gas dynamics systems. In both of these examples, the presence of the Dirac delta-function leads to nonuniqueness.
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Texas State University
2008-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/34/abstr.html |
| _version_ | 1818127026250317824 |
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| author | Vladimir G. Danilov |
| author_facet | Vladimir G. Danilov |
| author_sort | Vladimir G. Danilov |
| collection | DOAJ |
| description | We give two examples of nonuniqueness of generalized solutions of pressureless gas dynamics systems. In both of these examples, the presence of the Dirac delta-function leads to nonuniqueness. |
| first_indexed | 2024-12-11T07:10:48Z |
| format | Article |
| id | doaj.art-edd7c4c1b2f44d16bb7c93044e7d8545 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T07:10:48Z |
| publishDate | 2008-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-edd7c4c1b2f44d16bb7c93044e7d85452022-12-22T01:16:21ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-03-01200834110Remarks on vacuum state and uniqueness of concentration processVladimir G. DanilovWe give two examples of nonuniqueness of generalized solutions of pressureless gas dynamics systems. In both of these examples, the presence of the Dirac delta-function leads to nonuniqueness.http://ejde.math.txstate.edu/Volumes/2008/34/abstr.htmlZero-pressure gas dynamics systemvacuum statedelta-shock solution |
| spellingShingle | Vladimir G. Danilov Remarks on vacuum state and uniqueness of concentration process Electronic Journal of Differential Equations Zero-pressure gas dynamics system vacuum state delta-shock solution |
| title | Remarks on vacuum state and uniqueness of concentration process |
| title_full | Remarks on vacuum state and uniqueness of concentration process |
| title_fullStr | Remarks on vacuum state and uniqueness of concentration process |
| title_full_unstemmed | Remarks on vacuum state and uniqueness of concentration process |
| title_short | Remarks on vacuum state and uniqueness of concentration process |
| title_sort | remarks on vacuum state and uniqueness of concentration process |
| topic | Zero-pressure gas dynamics system vacuum state delta-shock solution |
| url | http://ejde.math.txstate.edu/Volumes/2008/34/abstr.html |
| work_keys_str_mv | AT vladimirgdanilov remarksonvacuumstateanduniquenessofconcentrationprocess |