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±¨¸æ¶þÄÚÈݼò½é£º£ºHsiao-Liu correction functions were first introduced to show that the solutions of a system of hyperbolic conservationlaws with damping time-asymptotically tend to the nonlinear diffusion waves governed by the classical Darcy's law.
In this talk, we will review the derivation process of the Hsiao-Liu correction functions and summarize the idea of constructing the correction functions.Later, we will enumerate some applications of the Hsiao-Liu correction functions in various models.