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Blow‐up and lifespan estimates of solutions to the weakly coupled system of semilinear Moore–Gibson–Thompson equations
Author(s) -
Ming Sen,
Yang Han,
Fan Xiongmei
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7462
Subject(s) - mathematics , exponent , gravitational singularity , mathematical proof , novelty , work (physics) , function (biology) , critical exponent , power function , mathematical analysis , pure mathematics , mathematical physics , geometry , scaling , physics , thermodynamics , philosophy , linguistics , theology , evolutionary biology , biology
This work is devoted to investigating formation of singularities of solutions to the weakly coupled system of semilinear Moore–Gibson–Thompson equations with power nonlinearities | v | p , | u | q , derivative nonlinearities | v t | p , | u t | q , mixed nonlinearities | v | q , | u t | p , and combined nonlinearities | v t|p 1+ | v |q 1, | u t|p 2+ | u |q 2, respectively. Upper bound lifespan estimates of solutions to the problem in the subcritical and critical cases are also established. The main tool employed in the proofs is test function technique. The novelty is that lifespan estimates of solutions are connected with the well‐known Strauss exponent and Glassey exponent.