On The Steady Transport Equation
On The Steady Transport Equation
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关于稳态输运方程
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
M. Padula
中科院分区：
文献类型：
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作者：
J. G. Heywood;M. Padula
我们给出了稳定输运方程理论的简单方法，提供了稳定可压缩粘性流理论所需的一些结果。特别是，我们证明了我们随附论文 [11] 的引理 3 中收集的断言。我们的方法基于伽辽金近似解的构造以及伴随方程的对偶论证。我们基于特征理论得出一些启发式观察结果，特别解释了需要对速度场的大小逐渐加强的限制，以便逐渐证明解的更多规律性。
We give a simple approach to the theory of the steady transport equation, providing some results that are needed in the theory of steady compressible viscous flow. In particular, we prove the assertions that are collected together in Lemma 3 of our accompanying paper [11]. Our methods are based on a construction of solutions by Galerkin approximation and on duality arguments with the adjoint equation. We conclude with some heuristic observations based on the theory of characteristics, explaining, particularly, the need for successively stronger restrictions on the size of the velocity field, in order to prove successively more regularity of the solution.