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

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

引用次数: 0

Abstract

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.