Hyperbolic Conservation Laws and L2

DOI10.1007/978-3-319-72456-0_31zbMath1405.35112OpenAlexW2803979294MaRDI QIDQ4611824

Barbara Lee Keyfitz, Hao Ying

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_31

zbMATH Keywords

hyperbolic conservation lawssymmetrizable systemsweak and entropy solutions$L^2$-stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)

Cites Work

• \(L^2\)-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
• Compressible fluid flow and systems of conservation laws in several space variables
• BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Partial differential equations. 3: Nonlinear equations
• Nonuniform dependence on initial data for compressible gas dynamics: the periodic Cauchy problem
• \(L^p\) stability for entropy solutions of scalar conservation laws with strict convex flux
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Hyperbolic systems of conservation laws II
• Formation of singularities in one-dimensional nonlinear wave propagation
• Nonuniform Dependence on Initial Data for Compressible Gas Dynamics: The Cauchy Problem on $\mathbb{R}^2$
• Discontinuous solutions of non-linear differential equations
• Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur
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• The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• The partial differential equation u_t + uu_x = μ_xx
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