Stokes第一问题的分数阶导数解

朱克勤, 彭杰. Stokes第一问题的分数阶导数解[J]. 力学与实践, 2002, 24(2). DOI: 10.6052/1000-0992-2000-229

引用本文:

朱克勤, 彭杰. Stokes第一问题的分数阶导数解[J]. 力学与实践, 2002, 24(2). DOI: 10.6052/1000-0992-2000-229

FRACTIONAL DIFFERENTIATION SOLUTION OF STOKES' FIRST PROBLEM[J]. MECHANICS IN ENGINEERING, 2002, 24(2). DOI: 10.6052/1000-0992-2000-229

Citation:

FRACTIONAL DIFFERENTIATION SOLUTION OF STOKES' FIRST PROBLEM[J]. MECHANICS IN ENGINEERING, 2002, 24(2). DOI: 10.6052/1000-0992-2000-229

FRACTIONAL DIFFERENTIATION SOLUTION OF STOKES' FIRST PROBLEM

摘要: 给出了Stokes第一问题基于Heaviside的符号算子法的分数阶导数解，并把该解与传统的基于相似法得到的误差函数解进行了沟通. 这是在流体力学中充分体现数学的明晰、简洁和统一的一个很好的例子.

Abstract: In this paper, the fractional differentiation solution of Stokes' first problem based on Heaviside symbolic operator method is presented. It can betransformed to the solution based on similarity method. This is a perfect exampleto show the clearness, brevity and uniformity of mathematics in fluid mechanics.

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