过冷Stefan问题中非线性波的汇合
Confluence of the nonlinear waves in the Stefan problem with undercooling
摘要：
我们假设过冷Stefan问题直到自由边界接触时刻都有一个经典解，并且直到接触时刻自由边界的速度都是连续的。在这些假设下，我们构造了具有过冷度的Stefan问题的整体解的光滑逼近，该光滑逼近在接触之前给出了上述的经典解，在接触之后给出了热方程的解.
英文摘要：
We assume that the Stefan problem with undercooling has a classical solution until the moment of contact of free boundaries and the free boundaries have continuous velocities until the moment of contact. Under these assumptions, we construct a smooth approximation of the global solution of the Stefan problem with undercooling, which, until the contact, gives the classical solution mentioned above and, after the contact, gives a solution which is the solution of the heat equation.
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