GREENVILLE, S.C. -- Rivers across much of the area are near or just over full after storms that moved through on Sunday dumped heavy rain.

The National Weather Service issued flood warnings for the Saluda River at West Pelzer and near Greenville, the French Broad River and the Broad River. Forecasters said that runoff from Sunday's heavy rain has caused many rivers and streams in the area to swell, causing some flooding near the waterways.

Meteorologists said that people who live near bodies of water should keep a close eye on water levels and be prepared to take action if they begin to rise.

The storms did not seem to leave too many people in the dark. According to Duke Energy's Web site, about 1,800 customers in the Carolinas were without power. The site said that the highest concentration of outages were near the Hendersonville area in western North Carolina. Only 64 customers were without power in Greenville County as of 9:30 a.m.

A winter weather advisory was issued for Graham Swain, northern Jackson, Haywood, Madison, Buncombe, Yancey and Mitchell counties in western North Carolina from 7 p.m. Monday until 7 a.m. Tuesday. Forecasters said that locations on the westward-facing slopes in the advised counties can up to two inches of snow overnight.

FOX Carolina meteorologist Andy Wood said that the weather should remain quiet until late in the week when more rain is expected for the area.