DOAJ Open Access 2021

Four-Quadrant Riemann Problem for a 2×2 System II

Jinah Hwang Suyeon Shin Myoungin Shin Woonjae Hwang

Abstrak

In previous work, we considered a four-quadrant Riemann problem for a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mo>×</mo><mn>2</mn></mrow></semantics></math></inline-formula> hyperbolic system in which delta shock appears at the initial discontinuity without assuming that each jump of the initial data projects exactly one plane elementary wave. In this paper, we consider the case that does not involve a delta shock at the initial discontinuity. We classified 18 topologically distinct solutions and constructed analytic and numerical solutions for each case. The constructed analytic solutions show the rich structure of wave interactions in the Riemann problem, which coincide with the computed numerical solutions.

Topik & Kata Kunci

Mathematics

Penulis (4)

Jinah Hwang

Suyeon Shin

Myoungin Shin

Woonjae Hwang

Format Sitasi

APA MLA BibTeX

Hwang, J., Shin, S., Shin, M., Hwang, W. (2021). Four-Quadrant Riemann Problem for a 2×2 System II. https://doi.org/10.3390/math9060592

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.3390/math9060592
Akses: Open Access ✓