Asymptotic behavior of Riemann solutions for the one-dimensional mean-field games in conservative form with the logarithmic coupling term

M Sun, C Wang - International Journal of Non-Linear Mechanics, 2024 - Elsevier
Construction of Riemann solutions for a hyperbolic system in conservative form arising from
the one-dimensional mean-field games with the quadratic Hamiltonian and the logarithmic …

The Riemann problem for a simplified two-phase flow model with the Chaplygin pressure law under the external force

Z Wei, M Sun - International Journal of Non-Linear Mechanics, 2022 - Elsevier
The exact solutions are admitted in perfectly explicit forms about the Riemann problem for a
simplified two-phase flow model of the drift-flux type with the pressure law of Chaplygin gas …

Research on nonlinear model and fuzzy fractional order PIλDμ control of air suspension system

J Wang, K Lv, H Wang, S Guo… - Journal of Low …, 2022 - journals.sagepub.com
To improve the ride comfort of wheeled armored vehicles, air springs are used. To describe
the vehicle motion more accurately, a nine-degree-of-freedom air suspension system for the …

The phenomena of concentration and cavitation in the Riemann solution for the isentropic zero-pressure dusty gasdynamics

RK Chaturvedi, LP Singh - Journal of Mathematical Physics, 2021 - pubs.aip.org
The aim of the present paper is to investigate the concentration and cavitation phenomenon
in the solution of the Riemann problem (RP) to the pressureless isentropic Euler equations …

Self‐similar viscosity approach to the Riemann problem for a strictly hyperbolic system of conservation laws

B Chhatria, A Sen, T Raja Sekhar - Mathematical Methods in …, 2023 - Wiley Online Library
Here, we study the Riemann problem for a strictly hyperbolic system of conservation laws,
which occurs in gas dynamics and nonlinear elasticity. We establish the existence and …

The Riemann problem for one-dimensional dusty gas dynamics with external forces

SK Srivastava, RK Chaturvedi… - Waves in Random and …, 2022 - Taylor & Francis
This article concerns the study of the Riemann Problem (RP) for a non-homogeneous
system governing the one-dimensional compressible flow of dusty gas, where the external …

Interaction of steepened wave with a strong shock in van der Waals stiffened relaxing gases

B Kumar Chaudhary, R Singh - Journal of Applied Physics, 2023 - pubs.aip.org
We consider the interaction problem of a steepened wave with a strong shock in the planar
and radially symmetric flow of a van der Waals stiffened relaxing gases. An exact solution to …

The intrinsic phenomena of concentration and cavitation on the Riemann solutions for the perturbed macroscopic production model

Y Zhang, M Sun - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
The exact solutions of the Riemann problems for the two different perturbed macroscopic
production models are considered and constructed, respectively, for all the possible cases. It …

Concentration and Cavitation in the Riemann Solutions for the Triple‐Pressure Euler Equations Involving a Source Term

Y Tian, C Shen - Mathematical Methods in the Applied …, 2025 - Wiley Online Library
The exact solutions for the Riemann problem concerning the one‐dimensional triple‐
pressure Euler equations with the Coulomb‐type frictional term are displayed in perfectly …

The concentration and cavitation in the Riemann solution for non-homogeneous logrithmic equation of state with magnetic field

P Pradeep, RK Chaturvedi, LP Singh - Journal of Mathematical Physics, 2024 - pubs.aip.org
In the present study, the phenomena of concentration and cavitation in the Riemann solution
for the non-homogeneous hyperbolic system with logarithmic equation of state and magnetic …