论文标题
二元流体的免费边界问题
A free boundary problem for binary fluids
论文作者
论文摘要
玻璃状二元流体动力学的一个自由边界问题自然会导致1D中强烈退化的抛物线部分偏微分方程的奇异扰动问题。我们为自由边界速度的渐近公式提出了一个猜想，并证明了猜想的弱版本。结果基于对局部行动波解决方案家族的分析。
A free boundary problem for the dynamics of a glasslike binary fluid naturally leads to a singular perturbation problem for a strongly degenerate parabolic partial differential equation in 1D. We present a conjecture for an asymptotic formula for the velocity of the free boundary and prove a weak version of the conjecture. The results are based on the analysis of a family of local travelling wave solutions.
