Scalar Green function bounds for instantaneous shock location and one-dimensional stability of viscous shock waves
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Publication:5741511
DOI10.1090/qam/1431zbMath1347.35167arXiv1602.08175OpenAlexW2962721267MaRDI QIDQ5741511
Publication date: 25 July 2016
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.08175
Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)
Related Items (2)
Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks ⋮ Pointwise stability of reaction diffusion fronts
Cites Work
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- Time-asymptotic behavior of wave propagation around a viscous shock profile
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- An Evans function approach to spectral stability of small-amplitude shock profiles
- Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
- Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves
- Pointwise semigroup methods and stability of viscous shock waves
- Pointwise Green's function approach to stability for scalar conservation laws
- Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems
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