Compositions comprising at least one anionic associative polymer comprising at least one carboxylic acid group and at least one ester derived from a fatty alcohol and a carboxylic acid; and at least one additional anionic associative polymer comprising at least one carboxylic acid group and at least one ester derived from an alkoxylated fatty alcohol and a carboxylic acid, wherein the fatty chain of the alkoxylated fatty alcohol comprises more than 18 carbon atoms, and processes for providing physical stability to at least one non-solid composition comprising the same, and for making up, caring for or treating at least one keratinous material.