Optimal convergence rates to nonlinear diffusion waves for the compressible Euler-Poisson system with damping

DOI10.1016/j.jmaa.2010.04.047zbMath1425.35158OpenAlexW2001401489MaRDI QIDQ984809

Hongfang Ma

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.047

zbMATH Keywords

nonlinear dampingoptimal convergence ratesEuler-Poisson systemGreen function method

Mathematics Subject Classification ID

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

Cites Work

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• Asymptotics toward the diffusion wave for a one-dimensional compressible flow through porous media
• On the initial-boundary value problem for the bipolar hydrodynamic model for semiconductors