Forced oscillation of viscous Burgers' equation with a time-periodic force

DOI10.3934/dcdsb.2020160zbMath1465.35022OpenAlexW3021080769MaRDI QIDQ2028991

Bing-Yu Zhang, Taige Wang

Publication date: 3 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020160

zbMATH Keywords

semigroupglobal stabilitycontraction mappingasymptotical periodicity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Periodic solutions to functional-differential equations (34K13) Semilinear parabolic equations (35K58)

Cites Work

• Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers' equation
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• Forced Oscillations of a Damped Korteweg-de Vries Equation in a Quarter Plane
• Periodic vibrations of systems governed by nonlinear partial differential equations
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