Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves
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Publication:2995462
DOI10.1090/S0033-569X-2011-01221-6zbMath1221.35059arXiv0909.2422OpenAlexW2100012559MaRDI QIDQ2995462
Publication date: 21 April 2011
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.2422
Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Transform methods (e.g., integral transforms) applied to PDEs (35A22)
Related Items (12)
Multi-dimensional stability of waves travelling through rectangular lattices in rational directions ⋮ Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations ⋮ Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift ⋮ Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability ⋮ Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise ⋮ Travelling waves for reaction-diffusion equations forced by translation invariant noise ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations ⋮ Stability of nonlinear waves: pointwise estimates ⋮ Scalar Green function bounds for instantaneous shock location and one-dimensional stability of viscous shock waves ⋮ Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case ⋮ Stability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative Noise ⋮ Pointwise stability of reaction diffusion fronts
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