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Your search keyword '"Lin, Liyun"' showing total 2 results
Start Over Author "Lin, Liyun" Topic local well-posedness
2 results on '"Lin, Liyun"'

1. Initial boundary value problem for a coupled Camassa–Holm system with peakons.

Author

Hu, Qiaoyi, Lin, Liyun, and Jin, Ji

Subjects
*SYSTEMS theory, *BOUNDARY value problems, *LOCALIZATION (Mathematics), *BLOWING up (Algebraic geometry), *MATHEMATICAL analysis, *APPLIED mathematics
Abstract

We investigate the homogeneous initial boundary value problem for a coupled Camassa–Holm system with peakons on the half line. We first establish the local well-posedness for the system. We then present a precise blowup scenario and several blowup results of strong solutions to the system. We finally give the blowup rate of strong solutions to the system when blowup occurs. [ABSTRACT FROM AUTHOR]

Published
2013
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2. WELL-POSEDNESS AND BLOWUP PHENOMENA FOR A THREE-COMPONENT CAMASSA-HOLM SYSTEM WITH PEAKONS.

Author

HU, QIAOYI, LIN, LIYUN, and JIN, JI

Subjects
*INITIAL value problems, *BLOWING up (Algebraic geometry), *WATER waves, *THEORY of wave motion, *SOLITONS, *CAUCHY problem, *GLOBAL analysis (Mathematics)
Abstract

First, we establish the local well-posedness of the initial value problem for a new three-component Camassa-Holm system with peakons. We then present a precise blowup scenario and several blowup results for strong solutions to that system. Finally, we determine the blowup rate of strong solutions to the system when a blowup occurs. Our results include all earlier results on the Camassa-Holm equation and on a two-component Camassa-Holm system with peakons. [ABSTRACT FROM AUTHOR]

Published
2012
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