The suppressible property of the solution for three-dimensional Euler equations with damping

DOI10.1016/j.nonrwa.2005.05.006zbMath1179.35187OpenAlexW2044816468MaRDI QIDQ864202

Weike Wang, Xiongfeng Yang

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.05.006

zbMATH Keywords

compressible flowdamped isentropic Euler equationsweighted estimates

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45)

Related Items (10)

Initial-boundary value problem for p-system with damping in half space ⋮ Blowup for the 3D compressible Euler equations ⋮ Half space problem for Euler equations with damping in 3-D ⋮ Large time behavior and pointwise estimates for compressible Euler equations with damping ⋮ Half space problem of the system of compressible adiabatic flow through porous media in multi-D ⋮ The asymptotic profile of solutions to damped Euler equations ⋮ Blowup of the solutions for the IBVP of the isentropic Euler equations with damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping ⋮ Global existence and long-time behavior of solutions to the full compressible Euler equations with damping and heat conduction in \(\mathbb{R}^3\) ⋮ Optimal \(L^p\)-\(L^q\)-type decay rates of solutions to the three-dimensional nonisentropic compressible Euler equations with relaxation

Cites Work

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• Formation of singularities in three-dimensional compressible fluids
• On the asymptotic behavior of solutions of semi-linear wave equations
• Compressible Euler equations with vacuum
• Asymptotics toward the diffusion wave for a one-dimensional compressible flow through porous media
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions
• Critical exponent for a nonlinear wave equation with damping

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