运动发电机方程解的Hölder连续性
Hölder continuity of solutions to the kinematic dynamo equations
摘要:
本文研究了一类三维线性抛物型偏微分方程组(运动发电机方程组)解的正则性传播。发散自由漂移速度被假定为在相对于方程的自然缩放的临界规律性水平。
英文摘要:
We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the natural scaling of the equations.
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