Vivienne Westwood is a British fashion designer known for her avant-garde and punk-inspired designs. The brand was founded in 1971 and has since become a household name in the fashion industry. Vivienne Westwood's logo features an Orb, a globe with a cross on top, which symbolizes monarchical authority and justice and was also used at the Coronation of Queen Elizabeth II. Here it is rumored to be a sardonic reference to the fact that Dame Vivienne Westwood considers herself the Queen of Fashion.
The wordmark beneath the logo is an Art Nouveau display typeface Raphael published by Monotype. The font is a commercial one and you can view more details about it here.