Semi-hyperbolic patches of solutions to the two-dimensional nonlinear wave system for Chaplygin gases (Q2453946)
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| Language | Label | Description | Also known as |
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| English | Semi-hyperbolic patches of solutions to the two-dimensional nonlinear wave system for Chaplygin gases |
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Semi-hyperbolic patches of solutions to the two-dimensional nonlinear wave system for Chaplygin gases (English)
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12 June 2014
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The authors study the Riemann problem for the two-dimensional wave system being the Euler system with neglected square terms. The equation of state is the Chaplygin law. The global solution to a semi-hyperbolic patch is constructed. The problem is reduced to a Goursat-type boundary value problem in a domain bounded by two characteristics and with sonic curve as the degenerate boundary.
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Riemann problem
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degenerate Goursat problem
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neglected square terms
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