Existence theorem for global in time solutions to Burgers equation with a time delay

DOI10.1016/j.jde.2022.06.005zbMath1504.35340OpenAlexW4283022510MaRDI QIDQ2152755

Takayuki Kubo, Yoshihiro Ueda

Publication date: 11 July 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.06.005

zbMATH Keywords

time delayBurgers equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs on time scales (35R07)

Cites Work

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• A remark on exponential stability of time-delayed Burgers equation
• A note on the stability of the rarefaction wave of the Burgers equation
• Multiple-front solutions for the Burgers equation and the coupled Burgers equations
• Nonlinear thermoelastic plate equations -- global existence and decay rates for the Cauchy problem
• A note on the stability of travelling wave solutions of Burgers’ equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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