Complicated asymptotic behavior of solutions for the fourth-order parabolic equation with absorption

In this paper, we consider the relationships between the solutions of a fourth-order parabolic equation and the solutions for this equation with absorption. We use the relationships to study the asymptotic behavior of solutions and find that the complicated asymptotic behavior can happen in the solutions of this equation with absorption. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper considers the relationships between the solutions of a fourth-order parabolic equation and the solutions for this equation with absorption, and finds that the solutions of this equation with absorption can exhibit complicated asymptotic behaviors.