Spatial properties of transient heat equations on two types of special cylinders

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Abstract

This paper investigates spatial properties of transient heat equations on two special cylinders under non-homogeneous boundary conditions. By introducing a key cross-sectional parameter, the author reveals how the cylinder’s geometry affects the asymptotic behavior of solutions. Furthermore, spatial growth and decay rates are derived for different parameter ranges.

Keywords

transient heat equations / cross-sectional parameter / continuous dependence / asymptotic behavior

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