This paper investigates the spatial behavior of the solutions of the Forchheimer equations in a semi-infinite cylinder.Using the energy estimation method and the differential inequality technology,the differential ine...This paper investigates the spatial behavior of the solutions of the Forchheimer equations in a semi-infinite cylinder.Using the energy estimation method and the differential inequality technology,the differential inequality about the solution is derived.By solving this differential inequality,it is proved that the solutions grow polynomially or decay exponentially with spatial variables.展开更多
基金Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and Universities of Guangdong Province(Grant No.2020WCXTd008)Research Team Project of Guangzhou Huashang College(Grant No.2021HSKT01).
文摘This paper investigates the spatial behavior of the solutions of the Forchheimer equations in a semi-infinite cylinder.Using the energy estimation method and the differential inequality technology,the differential inequality about the solution is derived.By solving this differential inequality,it is proved that the solutions grow polynomially or decay exponentially with spatial variables.
