M Sun - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
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 …
C Shen, M Sun - Physica D: Nonlinear Phenomena, 2023 - Elsevier
The exact Riemann solutions are presented in fully explicit forms for the one-dimensional isentropic Euler system of gas dynamics with the body force, in which the shock and …
C Shen, M Sun - International Journal of Non-Linear Mechanics, 2018 - Elsevier
The Riemann problem for the one-dimensional zero-pressure gas dynamics system is considered in the frame of α− solutions based on a solution concept defined in the setting of …
Y Wang, M Sun - Applicable Analysis, 2023 - Taylor & Francis
The Riemann problem for a pressureless hydrodynamic model is solved explicitly, whose solution is either a contact-vacuum-contact wave or a delta shock wave to connect the left …
C Shen - Journal of Mathematical Physics, 2020 - pubs.aip.org
All the possible Riemann solutions are constructed in fully explicit forms for the one- dimensional inviscid liquid–gas two-phase isentropic flow model of drift-flux type. The …
M Sun - Applied Mathematics Letters, 2019 - Elsevier
In the frame of α− solutions defined in the setting of distributional products, the discontinuous solutions to the Riemann problem for a nonlinear chromatography system are constructed …
A Paiva - Mathematics and Mechanics of Solids, 2020 - journals.sagepub.com
This article studies a Riemann problem for the so-called “p-system” ut− vx= 0, vt−[σ (u)] x= 0, which rules one-dimensional isentropic thermoelastic media. Such study is made using a …
C Shen - Applied Mathematics Letters, 2021 - Elsevier
The Riemann problem for the one-dimensional Eulerian droplet model is solved by employing Sarrico's theory of distributional products. The discontinuous solutions including …
COR Sarrico, A Paiva - Proceedings of the Royal Society of …, 2020 - cambridge.org
The present paper concerns the system ut+[ϕ (u)] x= 0, vt+[ψ (u) v] x= 0 having distributions as initial conditions. Under certain conditions, and supposing ϕ, ψ: ℝ→ ℝ functions, we …