Heat the oven to 325°F. Put corned beef and water in a snug covered Dutch oven, bring to a simmer on the stove and cover. Braise for 3 1/2 to 4 hours until the meat pulls apart easily; rotate once so the exposed surface spends part of the cook in the liquid.
Drain the beef, cool enough to handle and shred into short pieces, removing large pieces of fat. Increase the oven to 350°F.
Mix mayonnaise, ketchup, relish and Worcestershire into a thick dressing. Split the connected Hawaiian rolls horizontally and put the bottom slab in a parchment-lined 9-by-13-inch pan.
Spread dressing thinly over the bread. Layer half the Swiss, drained shredded corned beef, dry sauerkraut and remaining Swiss, then replace the top slab.
Mix butter with caraway, brush over the rolls and cover with foil. Bake for 15 minutes, then uncover for 8 to 10 minutes until the center reaches 165°F.
Rest for 5 minutes and cut into 12 generously filled sliders.