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Global Solutions for a Simplified Shallow Elastic Fluids Model
Zitieren Sie bitte immer diese URN: urn:nbn:de:bvb:20-opus-117978
- The Cauchy problem for a simplified shallow elastic fluids model, one 3 x 3 system of Temple's type, is studied and a global weak solution is obtained by using the compensated compactness theorem coupled with the total variation estimates on the first and third Riemann invariants, where the second Riemann invariant is singular near the zero layer depth (rho - 0). This work extends in some sense the previous works, (Serre, 1987) and (Leveque and Temple, 1985), which provided the global existence of weak solutions for 2 x 2 strictly hyperbolicThe Cauchy problem for a simplified shallow elastic fluids model, one 3 x 3 system of Temple's type, is studied and a global weak solution is obtained by using the compensated compactness theorem coupled with the total variation estimates on the first and third Riemann invariants, where the second Riemann invariant is singular near the zero layer depth (rho - 0). This work extends in some sense the previous works, (Serre, 1987) and (Leveque and Temple, 1985), which provided the global existence of weak solutions for 2 x 2 strictly hyperbolic system and (Heibig, 1994) for n x n strictly hyperbolic system with smooth Riemann invariants.…
Autor(en): | Yun-guang Lu, Christian Klingenberg, Leonardo Rendon, De-Yin Zheng |
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URN: | urn:nbn:de:bvb:20-opus-117978 |
Dokumentart: | Artikel / Aufsatz in einer Zeitschrift |
Institute der Universität: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Sprache der Veröffentlichung: | Englisch |
Titel des übergeordneten Werkes / der Zeitschrift (Englisch): | Abstract and Applied Analytics |
ISSN: | 1687-0409 |
Erscheinungsjahr: | 2014 |
Heft / Ausgabe: | 920248 |
Originalveröffentlichung / Quelle: | Abstract and Applied Analysis Volume 2014, Article ID 920248, 5 pages. doi:10.1155/2014/920248 |
DOI: | https://doi.org/10.1155/2014/920248 |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Freie Schlagwort(e): | conservation laws; hyperbolic systems |
Datum der Freischaltung: | 29.08.2015 |
Lizenz (Deutsch): | ![]() |