Lasagna Bolognese

Ingredients

• 1 medium onion, coarsely chopped (1-inch pieces are fine)
• 1 large or 2 slim carrots, coarsely chopped
• 2 ribs celery, coarsely chopped
• 3 cloves garlic, coarsely chopped
• 2 to 3 tablespoons olive oil
• kosher salt
• freshly ground black pepper
• 2 pounds ground chuck, brisket or round or combination
• 1 1/4 cups tomato paste (from 2 6-ounce cans)
• 2 cups red wine, preferably hearty but really, anything you like to drink
• water as needed
• 2 bay leaves
• a few sprigs thyme, tied in a bundle
• 1 1/2 cups all-purpose flour
• 2 large eggs
• 1/2 teaspoon table salt
• 1 to 2 tablespoons water, if needed
• 1/2 cup (8 tablespoons) unsalted butter
• 1/2 cup all-purpose flour
• 4 cups whole milk
• 1 teaspoon table salt
• 1 clove minced garlic
• freshly grated nutmeg, to taste
• freshly ground black pepper
• 1 2/3 cups grated parmesan cheese