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1
To make the sauce, in a small bowl, put the soy sauce, water, ginger, wine, and garlic, and stir to combine. Set aside.
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2
Trim the flank steak of any large pieces of membrane. Cut the flank in half or thirds lengthwise, or with the grain. Depending on the total width of the flank, you may get two or three sections that are about 3 inches wide. Cut these sections against the grain into 1/8-inch slices. Place the beef in a medium bowl. Add the soy sauce and mix well. Add the cornstarch and mix well again.
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3
Preheat a wok over high heat until wisps of smoke rise from the surface. Add 1 tablespoon of the vegetable oil and heat until it starts to shimmer. Gently add the beef and, using a spatula, quickly spread it into a single layer in the bowl of the wok. Sear the beef for about 15 seconds and then stir-fry for 1 to 2 minutes, breaking up any pieces that have stuck together. Remove the wok from the heat, transfer the beef to a medium bowl, and set aside. Rinse the wok and dry with a towel.
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4
Return the wok to the stove over high heat. Add the remaining 1 tablespoon vegetable oil and heat until it starts to shimmer. Add the asparagus and mushrooms and stir-fry for 1 to 2 minutes, or until the spears have turned dark green. Add the beef and stir to combine. Add the sauce, and stir-fry for 1 to 2 minutes, or until the sauce has penetrated all the ingredients. Add the sesame oil and pepper, and give it one last stir. Serve with steamed rice.
