Note on a nonlinear coupled 4th-order parabolic problem

DOI10.1016/J.JDE.2024.02.045MaRDI QIDQ6493715

Fengjie Li, Ping Li

Publication date: 29 April 2024

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

zbMATH Keywords

global existenceblow-up rateblow-up timedecay estimatecoupled fourth-order parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for higher-order parabolic systems (35K52)

Cites Work

• Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system
• Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system.
• Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
• A class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films
• Global well-posedness of coupled parabolic systems

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