Entropy solutions of the compressible Euler equations

DOI10.1007/s10543-016-0611-3zbMath1362.35223OpenAlexW2292615989MaRDI QIDQ727904

Magnus Svärd

Publication date: 21 December 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1956/9868

zbMATH Keywords

entropy solutionscompressible Euler equations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items

Large eddy simulations by approximate weak entropy solutions, Entropy stable finite volume approximations for ideal magnetohydrodynamics

Cites Work

• Unnamed Item
• A minimum entropy principle in the gas dynamics equations
• Weak solutions and convergent numerical schemes of modified compressible Navier-Stokes equations
• Functional analysis, Sobolev spaces and partial differential equations
• On the symmetric form of systems of conservation laws with entropy
• Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• Admissibility of weak solutions for the compressible Euler equations, n ≥ 2
• Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations