Delta shock wave as self-similar viscosity limit for a strictly hyperbolic system of conservation laws
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Publication:5379477
DOI10.1063/1.5092668zbMath1414.76034OpenAlexW2945887097MaRDI QIDQ5379477
Publication date: 12 June 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5092668
Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Higher-order hyperbolic systems (35L55) Riemann-Hilbert problems in context of PDEs (35Q15)
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The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model ⋮ A limiting viscosity approach to the Riemann problem in blood flow through artery ⋮ The multiplication of distributions in the study of delta shock waves for zero-pressure gasdynamics system with energy conservation laws ⋮ Delta shock formation for the isothermal and logarithmic-corrected Chaplygin Euler equations ⋮ Riemann problem for a \(2 \times 2\) hyperbolic system with time-gradually-degenerate damping ⋮ Self‐similar viscosity approach to the Riemann problem for a strictly hyperbolic system of conservation laws ⋮ The free piston problem for pressureless Euler equations under the gravity ⋮ Stability of delta shock solution for the simplified magnetohydrodynamics equations under the linear flux-function perturbation ⋮ Delta waves of the isentropic relativistic Euler system coupled with an advection equation for Chaplygin gas
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