TY  - JOUR
A1  - Lu, Yun-guang
A1  - Klingenberg, Christian
A1  - Rendon, Leonardo
A1  - Zheng, De-Yin
T1  - Global Solutions for a Simplified Shallow Elastic Fluids Model
JF  - Abstract and Applied Analytics
N2  - 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 hyperbolic system and (Heibig, 1994) for n x n strictly hyperbolic system with smooth Riemann invariants.
KW  - conservation laws
KW  - hyperbolic systems
Y1  - 2014
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-117978
SN  - 1687-0409
IS  - 920248
ER  -