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Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (1): 47-53.

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Blowup and Effectiveness Analysis in a Parabolic Equationwith Dissipative Gradient Function

LING Zhengqiu^1, HE Bing^2

1. School of Mathematics and Statistics, Yulin Normal University, Yulin 537000, Guangxi ZhuangAutonomous Region, China;
2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2019-05-05 Online:2020-01-26 Published:2020-01-12
Contact: HE Bing E-mail:hebing@jlu.edu.cn

Abstract

Abstract: By establishing an appropriate Sobolev inequality, we solved the blowup problem of solutions of a class of parabolic equation with dissipative gradient functions under mixed boundary conditions. Furthermore, two methods were used to obtain estimates of the lower bound of blowup time for blowup solutions, and the effectiveness of the these methods was analyzed.

Key words: , blowup, , lower bound, dissipative gradient, mixed boundary condition

CLC Number:

O175.29

LING Zhengqiu, HE Bing. Blowup and Effectiveness Analysis in a Parabolic Equationwith Dissipative Gradient Function[J].Journal of Jilin University Science Edition, 2020, 58(1): 47-53.

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Blowup and Effectiveness Analysis in a Parabolic Equationwith Dissipative Gradient Function

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