Hi wayne-dear, whatever you do, do not try unsubscribing using any link in their emails. That will just tell them that your email account is active and they will sell it on to other scammers. I was helping my FiL out today who had done just that and was now getting bombarded with adverts for Viagra, PPI claims etc.
Can you let us know how you access your emails - do you download it to your computer (e.g. using Outlook, Windows Live Mail, Thunderbird etc) or do you access it via the web?
Either way you should be able to set up some filters or rules that will delete any emails that match certain criteria. Just be aware that these scammers may use multiple similar email addresses so you might want to set up 'Contains' rules rather than 'Is' rules e.g. if you get mails from scammer @ scammer.email and scammer1 @ scammer1.email you would use a rule where Sender Contains scammer.
Mrs C does competitions and she used to get over 200 spam emails per day - I set up a load (well over 150) of rules that cut that down to under 5 a week. Most ISPs do try to block spam so it may be worth letting them know too, they may be able to tweak their own filters.