Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions

Joint Authors

Ouyang, Baiping
Fan, Wei
Lin, Yiwu

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-06-05

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

In this paper, we study the blow-up phenomenon for a nonlinear reaction-diffusion system with time-dependent coefficients under nonlinear boundary conditions.

Using the technique of a first-order differential inequality and the Sobolev inequalities, we can get the energy expression which satisfies the differential inequality.

The lower bound for the blow-up time could be obtained if blow-up does really occur in high dimensions.

American Psychological Association (APA)

Ouyang, Baiping& Fan, Wei& Lin, Yiwu. 2020. Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1153399

Modern Language Association (MLA)

Ouyang, Baiping…[et al.]. Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1153399

American Medical Association (AMA)

Ouyang, Baiping& Fan, Wei& Lin, Yiwu. Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1153399

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1153399