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Existence in the large for quasilinear hyperbolic conservation laws

โœ Scribed by Ronald J. Diperna


Book ID
104680766
Publisher
Springer
Year
1973
Tongue
English
Weight
623 KB
Volume
52
Category
Article
ISSN
0003-9527

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Solutions in the large for some nonlinea
โœ Takaaki Nishida; Joel A. Smoller ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 513 KB

Here u is the specific volume, u = I/p, p is the density and u is the speed of the gas. The equation of state of the gas is p ( v ) = k2/uY, where y is a constant, y = 1 + 2 ~, and E will be a small positive constant throughout this paper. We consider the initial value problem for (1) in the region