ON THE LOW REGULARITY SOLUTIONS FOR A MODIFIED TWO-COMPONENT CAMASSA–HOLM SHALLOW WATER SYSTEM
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 611-621
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We first study the regularised version of a modified two-component Camassa–Holm shallow water system and obtain the energy estimates of the corresponding approximate solutions. Then, we present a sufficient condition which guarantees that these approximate solutions converge to a low regularity weak solution of the modified two-component Camassa–Holm shallow water system.
LIU, XINGXING; YIN, ZHAOYANG. ON THE LOW REGULARITY SOLUTIONS FOR A MODIFIED TWO-COMPONENT CAMASSA–HOLM SHALLOW WATER SYSTEM. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 611-621. doi: 10.1017/S0017089511000176
@article{10_1017_S0017089511000176,
author = {LIU, XINGXING and YIN, ZHAOYANG},
title = {ON {THE} {LOW} {REGULARITY} {SOLUTIONS} {FOR} {A} {MODIFIED} {TWO-COMPONENT} {CAMASSA{\textendash}HOLM} {SHALLOW} {WATER} {SYSTEM}},
journal = {Glasgow mathematical journal},
pages = {611--621},
year = {2011},
volume = {53},
number = {3},
doi = {10.1017/S0017089511000176},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000176/}
}
TY - JOUR AU - LIU, XINGXING AU - YIN, ZHAOYANG TI - ON THE LOW REGULARITY SOLUTIONS FOR A MODIFIED TWO-COMPONENT CAMASSA–HOLM SHALLOW WATER SYSTEM JO - Glasgow mathematical journal PY - 2011 SP - 611 EP - 621 VL - 53 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000176/ DO - 10.1017/S0017089511000176 ID - 10_1017_S0017089511000176 ER -
%0 Journal Article %A LIU, XINGXING %A YIN, ZHAOYANG %T ON THE LOW REGULARITY SOLUTIONS FOR A MODIFIED TWO-COMPONENT CAMASSA–HOLM SHALLOW WATER SYSTEM %J Glasgow mathematical journal %D 2011 %P 611-621 %V 53 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000176/ %R 10.1017/S0017089511000176 %F 10_1017_S0017089511000176
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