The Global Existence of Solutions for Two Classes of Chemotaxis Models-中国Betway体育网页登陆

摘要 Thispaperisconcernedwiththeglobalexistenceanduniformboundednessofsolutionsfortwoclassesofchemotaxismodelsintwoorthreedimensionalspaces.Firstly,byusingdetailedenergyestimates,specialinterpolationrelationanduniformGronwallinequality,weprovetheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithlinearchemotactic-sensitivitytermsandlogisticreactionterms.Secondly,byapplyingdetailedanalyticsemigroupestimatesandspecialiterationtechniques,weobtaintheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithnonlinearchemotacticsensitivityterms,whichextendstheglobalexistenceresultsof[6]toothergeneralcases.

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The Global Existence of Solutions for Two Classes of Chemotaxis Models

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