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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-508
Full Name: Huashui Zhan
Position: Professor
Age: ON
Sex: Male
Address: 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 Asymptotic Behavior of a Doubly Nonlinear Parabolic Equation with a Absorption Term Related to the Gradient
Authors as they appear in the Paper: Huashui Zhan
Email addresses of all the authors: hszhan@jmu.edu.cn
Number of paper pages: 10
Abstract: By comparing the solution $u(x,t)$ of the doubly degenerate parabolic equation $$ u_{t}=\text{div}(\mid Du^{m}\mid^{p-2}Du^{m})-u^{q_{1}}\mid\nabla u^{m}\mid^{p_{1}} $$ with the Barenblatt type solution of the equation $$ u_{t}=\text{div}(\mid Du^{m}\mid^{p-2}Du^{m}), $$ the large time asymptotic behaviors of $u(x,t)$ are got. Here the exponents $m$, $p$, $p_{1}$ and $q_{1}$ satisfy $p>p_{1}$, $p>1, m>1$, $q_{1}+p_{1}m>m(p-1)>1$.
Keywords: Doubly degenerate parabolic equation, weak solution, very singular solution, asymptotic behavior
EXTENSION of the file: .pdf
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How Did you learn about congress: Partial Differential Equations
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