具有表面张力的旋转Euler-Boussinesq方程自由边界问题的先验估计

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-01-23 DOI:10.1016/j.nonrwa.2024.104306

Xiaoling Hu

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引用次数: 0

摘要

本文采用拉格朗日变换，建立了三维时域无速度耗散和热膨胀的不可压缩旋转Boussinesq方程解的先验估计。通过充分利用表面张力的存在所带来的自由边界的正则性，我们释放了[C.C.]中所附的泰勒符号条件郝、张伟，三维不可压缩无粘旋转Boussinesq方程自由边界问题的先验估计，吉林大学学报。数学。理论物理。， 74(2023)，第80号论文，21页。

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A priori estimates for the free boundary problem of rotating Euler–Boussinesq equations with surface tension

In this paper, we adopt the Lagrangian transformation and establish the a priori estimate for solutions to the incompressible rotating Boussinesq equations without velocity dissipation or thermal expansion in a

3 D

time-dependent domain. By making full use of the gain of regularity for the free-boundary yielded by the existence of surface tension, we release the Taylor-Sign condition attached in [C.C. Hao and W. Zhang, A priori estimates for free boundary problem of 3D incompressible inviscid rotating Boussinesq equations, Z. Angew. Math. Phys., 74(2023), Paper No. 80, 21 pp.].

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.