三维简化重力两层半模型解的时空衰减率
Space-Time Decay Rates of Solutions to 3D Reduced Gravity Two-and-a-Half-Layer Model
DOI: 10.12677/AAM.2025.148387, PDF,    科研立项经费支持
作者: 陈雨昂：重庆对外经贸学院数学与计算机科学学院，重庆
关键词: 时空衰减率；海洋流体力学；纳维-斯托克斯方程；Space-Time Decay Rates； Naval Hydrodynamics； Navier-Stokes Equations
摘要: 本文研究了简化重力两层半模型解的时空衰减率。基于之前的时间衰减结果，我们正确地使用精 细的加权能量估计和插值技巧来获得加权Sobolev空间中解的k（∈[0,2]）阶空间导数的时空衰减率。
Abstract: In this paper, we study space-time decay ratess of the solutions to 3D reduced gravity two-and-a-half-layer model in the whole space. Based on the previous temporal decay results, we properly use delicate weighted energy estimates and interpolation tricks to obtain the space-time decay rates of the k(€ [0,3])–th order spatial derivative of solutions in the weighted Sobolev space.
文章引用：陈雨昂. 三维简化重力两层半模型解的时空衰减率[J]. 应用数学进展, 2025, 14(8): 246-260. https://doi.org/10.12677/AAM.2025.148387

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