UPDATE 1p ET: "Happening Now" reported this afternoon that the search will soon expand to land and that the U.S. has now officially been asked to help in the search by the Indonesian government.

GRN reporter Terry Friel reported from Malaysia that debris has been recovered from the sea, but there's no word yet if any is from the AirAsia Airbus. 

Friel said there has been no mention of terrorism as a possible cause for the plane's disappearance. 

The search is expected to resume in a few hours at first light, but thunderstorms in the region could complicate the search efforts later on Tuesday.

More details on the search at FoxNews.com.

UPDATE 11a ET: Greg Palkot reports that Tuesday's search could be crucial after objects and oil slicks were observed on Monday.  

Testing is being conducted on some of the oil that was found in the water to determine whether it came from the Airbus.

Officials are hopeful that they're zeroing in on the area of the Java Sea where they believe the plane crashed.

UPDATE 9a ET: Greg Palkot reported that objects spotted in the search area are not believed to be related to Flight 8501.

He said officials still believe the aircraft went down in the Java Sea and may have already sunk to the ocean floor.

David Piper reported the latest from Bangkok this morning as officials now believe that AirAsia Flight 8501 crashed into the Java Sea.

An Indonesian official said search planes spotted "suspicious" objects about 700 miles from the location where the plane lost contact with air traffic controllers early Sunday.

There are also reports of oil slicks in the area. The Airbus 320 was carrying 162 people from Indonesia to Singapore when it lost contact during severe thunderstorms.

False sightings of objects and oil slicks that initially appear to be from a missing plane were among the issues that plagued the search for Malaysia Airlines Flight 370 earlier this year. The fate of that plane, which vanished March 8 with 239 people on board, remains unknown.

Piper reported that Indonesian officials have not taken up the United States on its offer to help in the search. 

Air Force Lt. Gen. Tom McInerney (Ret.) reacted this morning on "Fox and Friends" to the pilot's actions in the last moments of the flight. 

The pilot reportedly requested to fly at a higher altitude and was awaiting clearance when he lost contact.

McInerney said when he was stationed in that part of the world, he would not have deployed flights in those weather conditions.