Delta wave interactions in a non-strictly hyperbolic system with non-convex flux

Minhajul () and T. Raja Sekhar ()
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Minhajul: Birla Institute of Technology and Science Pilani
T. Raja Sekhar: Indian Institute of Technology Kharagpur

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 2, 577-596

Abstract: Abstract In this paper, we consider the Riemann problem and wave interactions for a $$2 \times 2$$ 2 × 2 non-strictly hyperbolic system of conservation laws with non-convex flux. Riemann problem can not be solved always in the usual class of elementary waves and the solution develops $$\delta $$ δ -waves. We construct the exact solution to the Riemann problem for the governing system and discuss all possible cases of wave interactions involving $$\delta $$ δ -wave.

Keywords: Riemann problem; Shock wave; Rarefaction wave; Wave interactions; $$\delta $$ δ -measure; 35L45; 35L65; 35L67 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00390-6

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