Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes

DOI10.3934/dcds.2012.32.1939zbMath1246.35125OpenAlexW2330783814MaRDI QIDQ423843

Nicolas Seguin, Boris P. Andreianov

Publication date: 30 May 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.1939

zbMATH Keywords

well-posednessfinite volume schemefluid-particle interactionadapted entropiesinterface tracesnon-conservative coupling

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (9)

A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction ⋮ The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles ⋮ Numerical Simulations of a Fluid-Particle Coupling ⋮ On interface transmission conditions for conservation laws with discontinuous flux of general shape ⋮ Riemann problem for a particle–fluid coupling ⋮ Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure ⋮ Choice of measure source terms in interface coupling for a model problem in gas dynamics ⋮ Convergence of finite volume schemes for the coupling between the inviscid Burgers equation and a particle ⋮ Stability of stationary solutions of singular systems of balance laws

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