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Existence in the large for quasilinear hyperbolic conservation laws

✍ Scribed by Ronald J. Diperna

Book ID: 104680766
Publisher: Springer
Year: 1973
Tongue: English
Weight: 623 KB
Volume: 52
Category: Article
ISSN: 0003-9527
DOI: 10.1007/bf00247735

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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