An Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral Analysis

DOI10.1137/16M1056870zbMath1361.35081arXiv1601.05363MaRDI QIDQ5506817

C. Eugene Wayne, Kelly McQuighan

Publication date: 16 December 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05363

zbMATH Keywords

singular perturbationBurgers equationspectrummetastability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Sturm-Liouville theory (34B24) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular perturbations for ordinary differential equations (34E15) Singular parabolic equations (35K67)

Related Items (2)

Linear inviscid damping and enhanced dissipation for the Kolmogorov flow ⋮ Asymptotic stability of viscous shocks in the modular Burgers equation

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