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Existence and nonexistence of global continuous solutions of Riemann problem for quasilinear hyperbolic systems - MaRDI portal

Existence and nonexistence of global continuous solutions of Riemann problem for quasilinear hyperbolic systems (Q1175586)

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scientific article; zbMATH DE number 11931
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English
Existence and nonexistence of global continuous solutions of Riemann problem for quasilinear hyperbolic systems
scientific article; zbMATH DE number 11931

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    Existence and nonexistence of global continuous solutions of Riemann problem for quasilinear hyperbolic systems (English)
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    25 June 1992
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    One investigates the solutions of a quasilinear hyperbolic system with discontinuous initial data. Depending on some conditions involving the Riemann invariants, the solution can be unique and globally smooth or can break down at a finite time.
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    discontinuous initial data
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    Riemann invariants
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