Riemann problem and elementary wave interactions in isentropic magnetogasdynamics

DOI10.1016/j.nonrwa.2008.10.036zbMath1183.35230OpenAlexW2015945978MaRDI QIDQ2655074

V. D. Sharma, T. Raja Sekhar

Publication date: 22 January 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.036

zbMATH Keywords

Riemann problemshock wavepolytropic gaswave interactionrarefaction wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (49)

Riemann problem in non-ideal gas dynamics ⋮ Delta shocks and vacuum states in the Riemann solutions of Chaplygin Euler equations as pressure and magnetic field drop to zero ⋮ Elementary wave interactions in magnetogasdynamics ⋮ Measure-valued solutions to a non-strictly hyperbolic system with delta-type Riemann initial data ⋮ Solution to the Riemann problem in a one-dimensional magnetogasdynamic flow ⋮ Riemann solution for one dimensional non-ideal isentropic magnetogasdynamics ⋮ Analysis of the stability of the Riemann problem for a simplified model in magnetogasdynamics ⋮ Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish ⋮ Global solutions of the perturbed Riemann problem for the chromatography equations ⋮ Symmetry group analysis and exact solutions of isentropic magnetogasdynamics ⋮ The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field ⋮ Solution of Riemann problem for ideal polytropic dusty gas ⋮ The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas ⋮ Two-phase flows: non-smooth well posedness and the compressible to incompressible limit ⋮ The generalized Riemann problem for the Chaplygin gas equation ⋮ Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution ⋮ Exact solutions to magnetogasdynamics using Lie point symmetries ⋮ A predictor-corrector symmetric TVD scheme for magnetogasdynamic flow ⋮ Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state ⋮ Weak shock wave interactions in isentropic Cargo‐LeRoux model of flux perturbation ⋮ Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct ⋮ Limits of solutions to the isentropic Euler equations for van der Waals gas ⋮ Nonlinear stability of rarefaction waves for the compressible MHD equations ⋮ On the wave interactions in the drift-flux equations of two-phase flows ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ Interaction of weak shocks in drift-flux model of compressible two-phase flows ⋮ Study of wave propagation in arterial blood flow under symmetry analysis ⋮ On the Riemann Problem Simulation for the Drift-Flux Equations of Two-Phase Flows ⋮ Interaction of elementary waves with a weak discontinuity in an isothermal drift-flux model of compressible two-phase flows ⋮ Riemann solution for ideal isentropic magnetogasdynamics ⋮ Cauchy problem for an isentropic magnetogasdynamic system ⋮ Construction of global solutions for a symmetric system of Keyfitz-Kranzer type with three piecewise constant states ⋮ Construction of the global solutions to the perturbed Riemann problem for the Leroux system ⋮ Wave interactions for a nonlinear degenerate wave equations ⋮ Axisymmetric solutions of the two-dimensional Euler equations with a two-constant equation of state ⋮ Collision of characteristic shock with weak discontinuity in non-ideal magnetogasdynamics ⋮ The limits of Riemann solutions to the isentropic magnetogasdynamics ⋮ Riemann problem and elementary wave interactions in dusty gas ⋮ The perturbed Riemann problem for a macroscopic production model with Chaplygin gas ⋮ Vanishing magnetic field limits of solutions to the pressureless magnetogasdynamics ⋮ Stability of shock solutions to piston problem for the magnetohydrodynamics ⋮ Wave interactions in non-ideal isentropic magnetogasdynamics ⋮ The perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant states ⋮ Theoretical developments in the study of partial differential equations ⋮ Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution ⋮ On closed form solutions of \((2+1)\)-breaking soliton system by similarity transformations method ⋮ Self-similar solutions to the spherically-symmetric Euler equations with a two-constant equation of state ⋮ Vanishing magnetic field limits of solutions to the isentropic Chaplygin gas magnetogasdynamics equations ⋮ Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas

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