The scientific name for seals in general is Pinnipedia. Bear in mind that specific scientific name depends on the exact species. Phoca largha for example is the scientific name for the spotted seal.
A seal pup.
baby pup
The scientific name for a Weddell seal is Leptonychotes weddellii
a baby seal is called a pup
The scientific name for a harp seal is Pagophilus groenlandicus.
The leopard seal's scientific name is Hydrurga leptonyx.
A young Seal is referred as a "pup", and an adult male is a "Bull."
The scientific name of the Hawaiian monk seal is Neomonachus schauinslandi.
PUP
the pup gets bigger
The scientific name for the elephant seal is Mirounga Lionina