JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (9): 101-110.doi: 10.6040/j.issn.1671-9352.0.2021.509

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Blow-up of solutions to a weakly coupled semilinear Moore-Gibson-Thompson system with a nonlinear term of derivative type

OUYANG Bai-ping   

  1. College of Data Science, Guangzhou Huashang College, Guangzhou 511300, Guangdong, China
  • Published:2022-09-15

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Abstract: Blow-up of solutions to the Cauchy problem for a weakly coupled semilinear Moore-Gibson-Thompson(MGT)system with a nonlinear term of derivative type is investigated. By formulating auxiliary functional and using methods of iteration technique and functional analysis, the nonexistence of global solutions and an upper bound estimate of solutions for the lifespan to the Cauchy problem in the subcritical case is derived.

Key words: nonlinear term of derivative type, Moore-Gibson-Thompson system, blow-up, lifespan

CLC Number: 

  • O175.4
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