Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity

C Shen, M Sun - Journal of Differential Equations, 2022 - Elsevier
The exact Riemann solutions are constructed in completely explicit forms for the drift-flux
equations of the one-dimensional inviscid, compressible and isentropic liquid-gas two …

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

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 …

The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law

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 …

A distributional product approach to the delta shock wave solution for the one-dimensional zero-pressure gas dynamics system

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 …

Interactions of delta shock waves in a pressureless hydrodynamic model

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 …

The singular limits of solutions to the Riemann problem for the liquid–gas two-phase isentropic flow model

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 …

[HTML][HTML] The multiplication of distributions in the study of delta shock wave for the nonlinear chromatography system

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 …

New -shock waves in the -system: a distributional product approach

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 …

The multiplication of distributions in the one-dimensional Eulerian droplet model

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 …

Distributions as initial values in a triangular hyperbolic system of conservation laws

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 …