The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations

LI Yuanfei; ZENG Peng; CHEN Xuejiao

doi:10.21656/1000-0887.420031

Volume 42 Issue 9

Sep. 2021

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LI Yuanfei, ZENG Peng, CHEN Xuejiao. The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations[J]. Applied Mathematics and Mechanics, 2021, 42(9): 968-978. doi: 10.21656/1000-0887.420031

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The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations

doi: 10.21656/1000-0887.420031

School of Data Science, Guangzhou Huashang College,Guangzhou 511300, P.R.China

Received Date: 2021-01-28
Rev Recd Date: 2021-03-24

Available Online: 2021-09-29

Abstract

Abstract

The asymptotic behavior of the solution to the binary heat conduction equation in the semi-infinite domain was considered, in which the local non-homogeneous Neumann condition was applied to the side of the cylinder. This condition simulates the local damage of the insulation material on the side of the cylinder. By means of the differential inequality technique and the energy analysis method, the Phragmén-Lindelöf-type alternative results of the heat conduction model were obtained.
- binary heat conduction model,
- Phragmén-Lindelöf-type alternative,
- energy analysis

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References(21)

References

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