Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state

• Published in: Nonlinear analysis: real world applications Vol. 53; p. 103068
• Main Author: Sun, Meina
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.06.2020; Elsevier BV
• Subjects: Cavitation; Convergence; Delta shock wave; Equations of state; Exact solutions; Isentropic Euler system; Logarithmic equation of state; Rarefaction; Riemann problem; Shock waves; Vacuum state; Logarithmic equation of state; Delta shock wave; Isentropic Euler system; Riemann problem; Vacuum state

The analytical solutions of the Riemann problem for the isentropic Euler system with the logarithmic equation of state are derived explicitly for all the five different cases. The concentration and cavitation phenomena are observed and analyzed during the process of vanishing pressure in the Riemann...