Large-time behavior for conservation laws with source in a bounded domain

DOI10.1006/jdeq.1999.3669zbMath0943.35050OpenAlexW2002262400MaRDI QIDQ1970032

Corrado Mascia, Andrea Terracina

Publication date: 19 March 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3669

zbMATH Keywords

entropy solutionnonhomogeneous Dirichlet boundary conditionsstability of the steady-state solutionsmethod of generalized characteristics

Mathematics Subject Classification ID

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

Related Items (7)

Large-time behaviour of the entropy solution of a scalar conservation law with boundary conditions ⋮ Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws ⋮ Metastable dynamics of internal interfaces for a convection-reaction-diffusion equation ⋮ Godunov-type approximation for a general resonant balance law with large data. ⋮ Hydrodynamics and hydrostatics for a class of asymmetric particle systems with open boundaries ⋮ Localization effects and measure source terms in numerical schemes for balance laws ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model

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