Sir Michael Fallon revealed the name as he cut the ship's first piece of steel at the BAE Systems shipyard in Govan.
LISTEN: Syrian Refugees Get Scottish Starter Packs
Scotland's Syrian refugees are being handed "Scottish starter packs" containing IrnBru, shortbread and an apology letter about our weather.
The community group Refuweegee are handing out pack to the refugees arriving in Glasgow.
They also contain tartan teddies, blankets, Tunnock's teacakes and hand-written letters from Glasgow residents.
32 year old Selina Hales is behind the project.
She's been talking to Heart's Connor Gillies:
The research shows half of those diagnosed with the illness and a third of family members have reduced working hours or given up work entirely.
The most prestigious prize in UK architecture is now in its 22nd year. Other previous winners include the Scottish Parliament, Gateshead Millennium Bridge, and Liverpool Everyman Theatre.
The UK and Scottish governments are each investing £300 million in the project over the next 15 years, with local authorities and other partners such as universities also committed to adding up to £500 million.
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