Pregled bibliografske jedinice broj: 719314
Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process
Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process // Mathematical methods in the applied sciences, 33 (2010), 7; 904-921 doi:10.1002/mma.1226 (međunarodna recenzija, članak, znanstveni)
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Naslov
Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process
Autori
Mitrović, Darko ; Bojković, Velibor ; Danilov, Vladimir
Izvornik
Mathematical methods in the applied sciences (0170-4214) 33
(2010), 7;
904-921
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
linearization; delta shock wave formation; non-strictly hyperbolic system; global approximate solution; weak asymptotic method
Sažetak
Using the weak asymptotic method, we approximate a triangular system of conservation laws arising from the so-called generalized pressureless gas dynamics by a diagonal linear system. Then, we apply the usual method of characteristics to find approximate solution to the original system. As a consequence, we shall see how the delta shock wave naturally arises along the characteristics. Also, we propose a procedure that could be applied to more general systems of conservation laws.
Izvorni jezik
Engleski
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
