Asymptotic behavior of solutions to a class of coupled semilinear parabolic systems with gradient terms
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Authors
Yang Na
- School of Mathematics, Jilin University, Changchun 130012, P. R. China.
Yuanyuan Nie
- School of Mathematics, Jilin University, Changchun 130012, P. R. China.
Xu Zhou
- College of Computer Science and Technology, Jilin University, Changchun 130012, P. R. China.
Abstract
This paper concerns the asymptotic behavior of solutions
to the Cauchy problem of a class of coupled semilinear parabolic systems with gradient terms.
Using the energy comparison method and comparison principle,
the blow-up theorem of Fujita type is established
and the critical Fujita curve is formulated by spacial dimension,
the behavior of the coefficient of the gradient term at infinity.
Share and Cite
ISRP Style
Yang Na, Yuanyuan Nie, Xu Zhou, Asymptotic behavior of solutions to a class of coupled semilinear parabolic systems with gradient terms, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5813--5824
AMA Style
Na Yang, Nie Yuanyuan, Zhou Xu, Asymptotic behavior of solutions to a class of coupled semilinear parabolic systems with gradient terms. J. Nonlinear Sci. Appl. (2017); 10(11):5813--5824
Chicago/Turabian Style
Na, Yang, Nie, Yuanyuan, Zhou, Xu. "Asymptotic behavior of solutions to a class of coupled semilinear parabolic systems with gradient terms." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5813--5824
Keywords
- Asymptotic behavior
- critical Fujita curve
- gradient term
MSC
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