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Cauchy problem for quasilinear hyperbolic systems of shallow water equations

โœ Scribed by Fu, Xiaoyu; Sharma, V.D.


Book ID
121337777
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
141 KB
Volume
92
Category
Article
ISSN
0003-6811

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โœ Marco Cappiello; Luisa Zanghirati ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 187 KB

## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โˆˆ [0, __T__ ] ร— โ„^__n__^ and presenting a linear growth for |__x__ | โ†’ โˆž. We prove wellโ€posedness in the Schwartz space __๐’ฎ__ (โ„^__n__^ ). The result is obtained by d