带磁场的三维原始方程的连续数据同化

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2024-05-10 DOI:10.3233/asy-241912

Yongqing Zhao, Wenjun Liu, Guangying Lv, Yuepeng Wang

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引用次数: 0

摘要

本文研究了薄域中带有磁场的三维基元方程的连续数据同化问题。我们建立了同化系统的好拟性，并证明同化系统的 H2 强解在 L2 意义上随着 t→∞ 指数收敛于参考解。我们还研究了同化系统的灵敏度分析，并证明差商方程的一系列解收敛于形式灵敏度方程的唯一解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Continuous data assimilation for the three dimensional primitive equations with magnetic field

In this paper, the problem of continuous data assimilation of three dimensional primitive equations with magnetic field in thin domain is studied. We establish the well-posedness of the assimilation system and prove that the H2-strong solution of the assimilation system converges exponentially to the reference solution in the sense of L2 as t→∞. We also study the sensitivity analysis of the assimilation system and prove that a sequence of solutions of the difference quotient equation converge to the unique solution of the formal sensitivity equation.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.