On existence and uniqueness of entropy solutions of weakly coupled hyperbolic systems on evolving surfaces

DOI10.1016/j.compfluid.2017.08.021zbMath1410.35082OpenAlexW2742853110MaRDI QIDQ720871

Andrea Korsch, Dietmar B. Kröner

Publication date: 18 July 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.08.021

zbMATH Keywords

conservation lawsentropy solutionweakly coupled systemsevolving surface

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Cites Work

• Scalar conservation laws on moving hypersurfaces
• Asymptotic analysis for Korteweg models
• A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
• The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem
• Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method
• Weakly coupled systems of quasilinear boundary value problem with applications to semilinear elliptic equations
• Entropy solutions for weakly coupled hyperbolic systems in several space dimensions
• Scalar conservation laws on constant and time-dependent Riemannian manifolds
• Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
• On the Dirichlet problem for first order quasilinear equations on a manifold
• Finite elements on evolving surfaces
• A Qualitative Model for Dynamic Combustion
• On Majda' Model For Dynamic Combustion
• Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems
• Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Hyperbolic Conservation Laws in Continuum Physics
• Existence of weak solutions for a hyperbolic model of chemosensitive movement
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On existence and uniqueness of entropy solutions of weakly coupled hyperbolic systems on evolving surfaces