Prionace is Greek, prion meaning "saw" and akis meaning "point;" the species name "glauca" is Latin from "glaucas" or bluish gray or green in English, referring to their color (and ultimately, common name).
Blue sharks are a cosmopolitan, pelagic shark that rarely is seen near the shore (though known to be seen around islands and continental shelves). They prefer cooler water ranging from 44.6-60.8°F (7-16°C) but tolerate 69.8°F (21°C) or greater. When in the tropics, this shark sticks to deeper waters with cooler temperatures.
The dentition of this shark differs from the upper/lower teeth. The upper teeth are triangular and have curved cusps with serrated edges. The bases overlap. The lower jaw has erect cusps, finely serrated edges and are almost symmetrical in shape. These teeth are perfect for catching their prey: small teleost fish, squid, cuttlefish, and octopi, all of which can be slipper. They can be seem perusing large breeding aggregations of squid, gulping up easy meals. They are opportunistic feeders, too, and have been observed feeding from gill nets and scavenging dead animals. (Marine ones, obviously)
Yup! You guessed correctly, this critter has predators that include California sea lions (Zalophus californianus) and larger sharks, like the shortfin mako (Isurus oxyrinchus) and the white shark (Carcharodon carcharias). Smaller, more unsuspecting animals also use the blue shark as a host: copepods. There have been documentations of sharks swimming around with up to five different species! These include Pandarus satyrus (on the pectoral fins), Kroeyerina elongata (in the nose), Echthrogaleus coleoptratus (on the body), and Kroyeria carchariaeglauci and Phyllothyreus cornutus (found on/in the gills). These different animals can cause sight impairment and even change the structure of the gills!
Gestation period in the blue shark is anywhere from 9-12 months, with litters having 25-50 pups. Litter sizes may be related to the size of the mommy shark and have observed to vary from 4 to 134 pups. This still needs to be researched more before anything definitive is stated. Pups are born through viviparity (live birth).
Commercially, they are regulated on the east coast of the United States by the National Marine Fisheries Service. They are caught as bycatch though, something conservation efforts will need to address (as with many sharks). The blue shark is currently listed as "Near Threatened" by the World Conservation Union (IUCN).