Concentration of mass in the pressureless limit of Euler equations for power law
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Publication:1729264
DOI10.1016/j.nonrwa.2018.10.015zbMath1412.35242OpenAlexW2902366383MaRDI QIDQ1729264
Publication date: 27 February 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.10.015
numerical simulationspower lawdelta waveRiemann solutionsweighted Dirac-measurezero pressure gas dynamics
Non-Newtonian fluids (76A05) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Euler equations (35Q31)
Related Items (17)
Formation of delta shock and vacuum state for the pressureless hydrodynamic model under the small disturbance of traffic pressure ⋮ Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas ⋮ The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model ⋮ Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model ⋮ The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the relativistic Euler equations with the logarithmic equation of state ⋮ Concentration of mass in the vanishing adiabatic exponent limit of Aw-Rascle traffic model with relaxation ⋮ The limits of Riemann solutions to Euler equations of compressible fluid flow with a source term ⋮ The singular limits of solutions to the Riemann problem for the liquid–gas two-phase isentropic flow model ⋮ Zero-exponent limit to the extended Chaplygin gas equations with friction ⋮ The vanishing adiabatic exponent limits of Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term ⋮ Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow ⋮ Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state ⋮ Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity ⋮ Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas ⋮ Stability of delta shock solution for the simplified magnetohydrodynamics equations under the linear flux-function perturbation ⋮ Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying \(\gamma\)-law
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