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二维HM方程解的衰减 被引量:1
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作者 陈静 《楚雄师范学院学报》 2012年第3期44-50,共7页
Hasegawa-Mima(简记为HM)方程是研究漂移波和湍流漂移波的模型。本文运用"Fourier-Splitting"技术得到了二维HM方程初始问题解的L2衰减估计和L∞衰减估计。
关键词 二维HM方程 fourier-splitting 衰减
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Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system 被引量:2
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作者 Ruiying WEI Yin LI Zheng'an YAO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第10期1499-1528,共30页
In this paper, we investigate a system of the incompressible Navier-Stokes equations coupled with Landau-Lifshitz equations in three spatial dimensions. Under the assumption of small initial data, we establish the glo... In this paper, we investigate a system of the incompressible Navier-Stokes equations coupled with Landau-Lifshitz equations in three spatial dimensions. Under the assumption of small initial data, we establish the global solutions with the help of an energy method. Furthermore, we obtain the time decay rates of the higher-order spatial derivatives of the solutions by applying a Fourier splitting method introduced by Schonbek(SCHONBEK, M. E. L2decay for weak solutions of the Navier-Stokes equations. Archive for Rational Mechanics and Analysis, 88, 209–222(1985)) under an additional assumption that the initial perturbation is bounded in L1(R3). 展开更多
关键词 Navier-Stokes-Landau-Lifshitz system fourier-splitting method decay rate
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GLOBAL EXISTENCE AND OPTIMAL CONVERGENCE RATES OF SOLUTIONS FOR THREE-DIMENSIONAL ELECTROMAGNETIC FLUID SYSTEM
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作者 Yin LZ Ruiying WEI Zheng-an YAO 《Acta Mathematica Scientia》 SCIE CSCD 2019年第2期469-490,共22页
In this article, we study the electromagnetic fluid system in three-dimensional whole space R^3. Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain th... In this article, we study the electromagnetic fluid system in three-dimensional whole space R^3. Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain the time decay rates of the higher-order spatial derivatives of the solution by combining the L^p-L^q estimates for the linearized equations and an elaborate energy method when the L^1-norm of the perturbation is bounded. 展开更多
关键词 ELECTROMAGNETIC FLUID DECAY rates fourier-splitting method
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