摘要
In the paper,the asymptotic behavior of the solution for the parabolic equation system of porous media coupled by three variables and with weighted nonlocal boundaries and nonlinear internal sources is studied.by constructing the upper and lower solutions with the ordinary differential equation as well as introducing the comparison theorem,the global existence and finite time blow-up of the solution of parabolic equations of porous media coupled by the power function and the logarithm function are obtained.The differential inequality technique is used to obtain the lower bounds on the blow up time of the above equations under Dirichlet and Neumann boundaryconditions.
基金
supported by Natural Science Basic Research Project of Shaanxi Province(2019JM-534)
Soft Science Project of Shaanxi Province(2019KRM169)
Project of Qi Fang Education Research Institute of Xian International University(21mjy07)
Special project support of the 14th five year plan of the China Association of Higher Education(Topic name:Research on the adaptability of specialty structure and industrial structure of Local Universities-a case study of Shaanxi Province,No:21DFD04)
2021 youth innovation team construction scientific research plan project of Shaanxi Provincial Department of Education(21JP105)
The Youth Innovation Team of Shaanxi Universities,Shaanxi educational science"14th five year plan"project(SGH21Y0308).
