Sharp a-contraction estimates for small extremal shocks

DOI10.1142/s0219891623500170arXiv2012.09261MaRDI QIDQ6190857

Sam G. Krupa, William M. Golding, Alexis F. Vasseur

Publication date: 6 February 2024

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

Full work available at URL: https://arxiv.org/abs/2012.09261

zbMATH Keywords

stabilityuniquenessrelative entropyconservation lawcompressible Euler system\(a\)-contraction

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Cites Work

• Criteria on contractions for entropic discontinuities of systems of conservation laws
• \(L^2\)-type contraction for systems of conservation laws
• Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-\(BV\) perturbations
• \(L ^{2}\) stability estimates for shock solutions of scalar conservation laws using the relative entropy method
• The second law of thermodynamics and stability
• Oleinik type estimates and uniqueness for \(n \times n\) conservation laws
• On the front-tracking algorithm
• Uniqueness of weak solutions to systems of conservation laws
• A uniqueness condition for hyperbolic systems of conservation laws.
• Uniqueness and stability of Riemann solutions with large oscillation in gas dynamics
• Criteria for the \(a\)-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws
• Finite time stability for the Riemann problem with extremal shocks for a large class of hyperbolic systems
• Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability
• Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems
• Uniqueness and weak-BV stability for \(2\times 2\) conservation laws
• Relative entropy and contraction for extremal shocks of conservation laws up to a shift
• Stability and Uniqueness for Piecewise Smooth Solutions to a Nonlocal Scalar Conservation Law with Applications to Burgers--Hilbert Equation
• On uniqueness of solutions to conservation laws verifying a single entropy condition
• Solutions in the large for nonlinear hyperbolic systems of equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Hyperbolic Conservation Laws in Continuum Physics
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