Improving a method of constructing finite time blow‐up solutions and its an application

DOI10.1002/MMA.8971zbMath1530.35078OpenAlexW4311697164MaRDI QIDQ6140730

Qunfei Long

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8971

zbMATH Keywords

blow-up ratefinite time blow-uppseudoparabolic equationapplicationnew upper bound for the blow-up time

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44)

Cites Work

• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy
• A note on blow-up of solution for a class of semilinear pseudo-parabolic equations
• Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Blow‐up phenomena for a pseudo‐parabolic equation
• Lifespan for a semilinear pseudo‐parabolic equation
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems

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