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 …

Delta shock wave solution of the Riemann problem for the non-homogeneous modified Chaplygin gasdynamics

RK Chaturvedi, LP Singh, D Zeidan - Journal of Dynamics and Differential …, 2020 - Springer
The motivation of the present study is to derive the solution of the Riemann problem for
modified Chaplygin gas equations in the presence of constant external force. The analysis …

Riemann solutions to the logotropic system with a Coulomb-type friction

RK Chaturvedi, LP Singh - Ricerche di Matematica, 2020 - Springer
The motivation of this study is to analyze the structure of the Riemann solutions for
compressible hyperbolic system, so called logotropic system, with a Coulomb-type friction …

The generalized Riemann problem for the Chaplygin gas equation

P Gupta, RK Chaturvedi, LP Singh - European Journal of Mechanics-B …, 2020 - Elsevier
The main motive of the present study is to determine the closed form solution of the
generalized Riemann Problem (GRP) for the 1-D Euler's equation for Chaplygin gas by …

Solution of hyperbolic system with magnetic field

Pradeep, RK Chaturvedi, LP Singh - Waves in Random and …, 2023 - Taylor & Francis
This paper is concerned with the solution of the Riemann problem (RP) for the hyperbolic
system with the logarithmic equation of state and magnetic field. The formation of vacuum …

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 …

Understanding of quasilinear hyperbolic systems through the investigation of their asymptotic solutions

D Nie - Acta Scientiarum. Technology, 2025 - search.proquest.com
The main aim of the study is to deepen understanding of quasilinear hyperbolic systems
through the investigation of their asymptotic solutions, with specific objectives related to …

Study of certain problems on nonlinear wave propagation involving hyperbolic system of pdes

RK Chaturvedi - 2022 - idr-lib.iitbhu.ac.in
In the nonlinear system, the wave is considered to be moving surface along which the flow
variables and their derivatives occupy certain kind of discontinuity that are carried along by …