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Existence and Uniform Boundedness of Global Solutions of a Chemotaxis System
Pages: 342-347
Year: Issue:  4
Journal: Acta Scientiarum Naturalium Universitatis Neimongol

Keyword:  chemotaxisglobal existenceuniform boundedness;
Abstract: The global solutions of a general chemotaxis system in which the sensitivity function and the creation rate of the chemical substance satisfy some certain conditions are studied.The local existence of solutions of the chemotaxis system is obtained by Amann’s theory,and the detailed priori estimates of solutions of the system are obtained by analytic semigroup theory and energy methods.Thus,the existence and uniform boundedness of global solutions of this kind of chemotaxis system are proved.
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