Factual error: The old Sky News logo is used in the film, as shown in a broadcast.
Factual error: When the Scottish scientist calls Hall, he tells him that the freezing temperature of fuel is -150° Fahrenheit. This isn't true, Jet A1, which is the type of fuel in such kind of choppers freezes at -52.6° Fahrenheit. The scientist says that he had to look it up, so he should have the correct figures and as this figure is quite important to estimate the temperature in the eye of the storm, he wouldn't mix it up.
Factual error: It is not feasible for a flood to stop the flow of warm air for the northern hemisphere and make it as cold as it did in the movie. The air moves far too fast for anything to stop the flow of warm air in the northern hemisphere.
Factual error: When the storm is breaking up over the United States and Houston asks if the ISS can confirm, the ISS is moving the wrong direction. The view of Italy shows the ISS moving from east to west when it actually orbits from west to east.
Answer: She is indeed alive. Take a close look at the scene when Jack Hall arrives. Judith appears in that scene.