In this paper,the Cauchy problem of the classical Keller-Segel chemotaxis model with initial data of large mass is considered.By the Green’s function method and scaling technique,we prove that if ku0k 1nL1 ku0k1−1n L...In this paper,the Cauchy problem of the classical Keller-Segel chemotaxis model with initial data of large mass is considered.By the Green’s function method and scaling technique,we prove that if ku0k 1nL1 ku0k1−1n L∞andκk∇v0kLp are less than some constant,then the problem always admits a unique global classical solution,even when the initial mass ku0kL1 is large.Moreover,the decay rates of the classical solution are also obtained.展开更多
基金Supported by the Natural Science Foundation of Jiangsu Province(BK20160856)the National Natural Science Foundation of China(11801137)。
文摘In this paper,the Cauchy problem of the classical Keller-Segel chemotaxis model with initial data of large mass is considered.By the Green’s function method and scaling technique,we prove that if ku0k 1nL1 ku0k1−1n L∞andκk∇v0kLp are less than some constant,then the problem always admits a unique global classical solution,even when the initial mass ku0kL1 is large.Moreover,the decay rates of the classical solution are also obtained.
