Loss of hyperbolicity and exponential growth for the viscous Burgers equation with complex forcing terms

DOI10.1016/j.jfa.2017.03.003zbMath1368.35024OpenAlexW2596456495MaRDI QIDQ526849

Marta Strani

Publication date: 15 May 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.03.003

zbMATH Keywords

instabilitiesequation on the toruspara-differential operatorstime-delay in the instabilities

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Semilinear parabolic equations (35K58)

Cites Work

• The onset of instability in first-order systems
• Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
• Time-Delayed Instabilities in Complex Burgers Equations
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