Interaction of elementary waves for compressible Euler equations with frictional damping

DOI10.1006/jdeq.1999.3689zbMath0957.35111OpenAlexW2093797075MaRDI QIDQ1975473

Tao Luo, Tong Yang

Publication date: 27 April 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3689

zbMATH Keywords

Riemann probleminteraction of wavesGlimm's schemeEuler equations with frictional damping

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

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• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• A system of hyperbolic conservation laws with frictional damping
• Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
• A class of similarity solutions of the nonlinear diffusion equation
• Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping
• Solutions in the large for nonlinear hyperbolic systems of equations
• Solutions in the large for some nonlinear hyperbolic conservation laws