摘要
The Global Existence of Solutions for Two Classes of Chemotaxis Models—Feng-long QU,Ya-ping WU This paper is concerned with the global existence and uniform boundedness of solutions for two classes of chemotaxis models in two or three dimensional spaces.Firstly,by using detailed energy estimates,special interpolation relation and uniform Gronwall inequality,we prove the global existence of uniformly bounded solutions for a class of
This paper is concerned with the global existence and uniform boundedness of solutions for two classes of chemotaxis models in two or three dimensional spaces. Firstly, by using detailed energy estimates, special interpolation relation and uniform Gronwall inequality, we prove the global existence of uniformly bounded solutions for a class of chemotactic systems with linear chemotactie-sensitivity terms and logistic reaction terms. Secondly, by applying detailed analytic semigroup estimates and special iteration techniques, we obtain the global existence of uniformly bounded solutions for a class of chemotaetic systems with nonlinear chemotactic-sensitivity terms, which extends the global existence results of [6] to other general cases.
出处
《应用数学学报》
CSCD
北大核心
2014年第5期I0001-I0005,共5页
Acta Mathematicae Applicatae Sinica
