Geodesic
A note on critical times of $2\times2$ quasilinear hyperbolic systems
Applications of Mathematics, Tome 29 (1984) no. 4, pp. 294-302.

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In this paper the exact formula for the critical time of generating discontinuity (shock wave) in a solution of a $2\times2$ quasilinear hyperbolic system is derived. The applicability of the formula in the engineering praxis is shown on one-dimensional equations of isentropic non-viscous compressible fluid flow.
DOI : 10.21136/AM.1984.104097
Classification : 35L60, 35L67, 76N10
Keywords: quasilinear hyperbolic system; precise formula; critical time; shock wave; transformation; Riemann invariants; isentropic non-viscous compressible fluid flow 
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     title = {A note on critical times of $2\times2$ quasilinear hyperbolic systems},
     journal = {Applications of Mathematics},
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Straškraba, Ivan. A note on critical times of $2\times2$ quasilinear hyperbolic systems. Applications of Mathematics, Tome 29 (1984) no. 4, pp. 294-302. doi : 10.21136/AM.1984.104097. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104097/

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