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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-867
Full Name: Huashui Zhan
Position: Professor
Age: ON
Sex: Male
Address: School of Sciences, Jimei University,Xiamen
Country: CHINA
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E-mail address: hszhan@jmu.edu.cn
Other E-mails: huashuizhan@163.com
Title of the Paper: The Singular Diffusion Equation with Boundary Degeneracy
Authors as they appear in the Paper: Qingmei Xie, Huashui Zhan(corresponding author)
Email addresses of all the authors: xieqingmei0224@163.com, hszhan@jmu.edu.cn
Number of paper pages: 10
Abstract: For the heat conduction with boundary degeneracy on a bounded domain, though its diffusion coefficient vanishes on the boundary, it is still possible that the heat flux may transfer across the boundary. A known result shows that the key role is the ratio of the diffusion coefficient near the boundary. If this ratio is large enough, the heat flux transference has not any relation to the boundary condition but is completely controlled by the initial value. This phenomena shows there are some essential differences between the heat flux with boundary degeneracy and that without boundary degeneracy. However, under the assumption on the uniqueness of the weak solution, the paper obtains that the weak solution of the singular diffusion equation with boundary degeneracy, has the same regular properties as the solution of a singular diffusion equation without boundary degeneracy.
Keywords: boundary degeneracy, diffusion equation, uniqueness, regular property
EXTENSION of the file: .pdf
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