Solutions in the large for some nonlinea
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Takaaki Nishida; Joel A. Smoller
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Article
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1973
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John Wiley and Sons
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English
โ 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