@article{Ming2024, 
author = {Sen Ming and Xiaodong Wang and Xiongmei Fan and Xiao Wu},
title = {Blow-up of solutions for coupled wave equations with damping terms and derivative nonlinearities},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {26854-26876},
keywords = {blow-up, iteration method, coupled wave equations, damping terms, lifespan estimate},
url = {https://www.sciopen.com/article/10.3934/math.20241307},
doi = {10.3934/math.20241307},
abstract = {This work was concerned with the weakly coupled system of semi-linear wave equations with time dependent speeds of propagation, damping terms, and derivative nonlinear terms in generalized Einstein-de Sitter space-time on  Rn. Under certain assumptions about the indexes  k1,k2, coefficients  μ1,μ2, and nonlinearity exponents  p,q, applying the iteration technique, finite time blow-up of local solutions to the small initial value problem of the coupled system was investigated. Blow-up region and upper bound lifespan estimate of solutions to the problem were established. Compared with blow-up results in the previous literature, the new ingredient relied on that the blow-up region of solutions obtained in this work varies due to the influence of coefficients  k1,k2.}
}