简介:Inthispaper,weareconcernedwiththeexistenceanduniquenessofglobalsolutionsofthemodifiedKS-CGLequationsforflamesgovernedbyasequentialreaction,wheretheterm|P|~2Pisreplacedwiththegeneralizedform|P|~(2σ)P,see[18].Themainnoveltycomparedwith[18]inthispaperistocontrolthenormsofthefirstorderofthesolutionsandextendtheglobalwell-posednesstothreedimensionalspace.