Convergence rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping on quadrant

DOI10.3934/dcds.2009.23.887zbMath1170.35058OpenAlexW1968172806MaRDI QIDQ1001660

Changjiang Zhu, Mi'na Jiang

Publication date: 19 February 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.23.887

zbMATH Keywords

convergence ratesenergy estimatesboundary effectDirichlet boundary conditionNeumann boundary conditionnonlinear dampingnonlinear diffusion waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for first-order hyperbolic systems (35L50)

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