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Existence of global strong solutions for the Saint-Venant system with large initial data on the irrotational part of the velocity

✍ Scribed by Boris Haspot

Book ID
116390001
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
158 KB
Volume
350
Category
Article
ISSN
1631-073X

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πŸ“œ SIMILAR VOLUMES

Global existence of classical solutions
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems
✍ Ta-Tsien Li; Libin B. Wang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 243 KB

In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small