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On the time-optimal control problem for a fourth order parabolic equation in the three-dimensional space

Farrukh DekhkonovWenke LiWeipeng WuCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China

Communications in Analysis and Mechanicsjournal2025en

ABI

Annotatsiya

In this paper, we consider the problem of optimal time control for a fourth-order parabolic-type equation describing the growth process of a thin film in a bounded three-dimensional space. The control function is defined on a certain part of a boundary. It is proved that the optimal time depends on the parameters of the growth process when the average value of the growth interface height of the thin film in the domain is close to the critical value.

Mavzular

Advanced Mathematical Modeling in Engineering Differential Equations and Boundary Problems Differential Equations and Numerical Methods

Identifikatorlar

DOI: 10.3934/cam.2025017

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