Lebesgue空间中磁流体动力学方程解及其空间导数的下界

IF 0.6 Q4 MATHEMATICS, APPLIED

Methods and applications of analysis Pub Date : 2018-01-01 DOI:10.4310/MAA.2018.V25.N2.A4

Taynara B. De Souza, W. Melo, P. Zingano

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引用次数: 2

摘要

。本文建立了磁流体动力学方程极大解的一般Lebesgue范数的下界，并给出了解整体存在的判据。因此，我们可以更好地理解同一解的爆破行为。此外，重要的是要指出，我们通过使用从Navier-Stokes方程得到的标准技术来达到我们的主要结果。

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On lower bounds for the solution, and its spatial derivatives, of the Magnetohydrodynamics Equations in Lebesgue spaces

. In this paper, the authors establish lower bounds for the usual Lebesgue norms of the maximal solution of the Magnetohydrodynamics Equations and present some criteria for global existence of solution. Thus, we can understand better on the blow-up behavior of this same solution. In addition, it is important to point out that we reach our main results by using standard techniques obtained from Navier-Stokes Equations.

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来源期刊

Methods and applications of analysis MATHEMATICS, APPLIED-

自引率

33.30%

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