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
Gene amplification is a common mechanism of oncogene activation and contributes to tumor progression. Analysis of such genetic alterations are relevant to the understanding of tumor genetics and could provide prognost...Gene amplification is a common mechanism of oncogene activation and contributes to tumor progression. Analysis of such genetic alterations are relevant to the understanding of tumor genetics and could provide prognostic information for the individual patient. Standard analytical approaches using Southern blot and slot blot require a large amount of good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.
文摘Gene amplification is a common mechanism of oncogene activation and contributes to tumor progression. Analysis of such genetic alterations are relevant to the understanding of tumor genetics and could provide prognostic information for the individual patient. Standard analytical approaches using Southern blot and slot blot require a large amount of good
