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Breakdown of classical solutions to quasilinear hyperbolic systems

โœ Scribed by Yumei Xu


Book ID
118817971
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2006
Tongue
English
Weight
209 KB
Volume
21
Category
Article
ISSN
1005-1031

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On the breakdown of solutions to Nร—N qua
โœ Renato Manfrin ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 272 KB

We shall be concerned with the development of singularities of the C 1 -solutions of the quasilinear N ร—N hyperbolic system Ut +A(U )Ux =0 in one space dimension. Generalizing a nonlinearity condition introduced by MacCamy and Mizel (Arch. Rat. Mech. Anal. 25 (1967) 299-320), in this paper we prove