TY - JOUR
T1 - Wave patterns for shallow water equations
AU - Lan, Chiu Ya
AU - Lin, Huey Er
PY - 2005/6
Y1 - 2005/6
N2 - We consider the time-asymptotic behavior of the system of shallow water equations with one bump in one dimension. Our main interest is in the issue of nonlinear stability and instability of the waves, particularly for the transonic flow. In this paper, the formation of the asymptotic wave patterns is done by combining elementary nonlinear waves, shock and rarefaction waves for the conservation laws, and stationary waves. We also describe the bifurcations of the wave patterns as the end states vary.
AB - We consider the time-asymptotic behavior of the system of shallow water equations with one bump in one dimension. Our main interest is in the issue of nonlinear stability and instability of the waves, particularly for the transonic flow. In this paper, the formation of the asymptotic wave patterns is done by combining elementary nonlinear waves, shock and rarefaction waves for the conservation laws, and stationary waves. We also describe the bifurcations of the wave patterns as the end states vary.
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U2 - 10.1090/S0033-569X-05-00939-6
DO - 10.1090/S0033-569X-05-00939-6
M3 - Article
AN - SCOPUS:23044476164
SN - 0033-569X
VL - 63
SP - 225
EP - 249
JO - Quarterly of Applied Mathematics
JF - Quarterly of Applied Mathematics
IS - 2
ER -