Growth of curvature and perimeter of temperature patches in the 2D Boussinesq equations

被引：0
|
作者：
Park, Jaemin [1 ]
机构：
[1] Univ Hosp, Dept Math & Informat, CH-4051 Basel, Switzerland
来源：
NONLINEARITY | 2024年 / 37卷 / 06期
关键词：
Boussinesq equations; long time behaviour; temperature patch; GLOBAL WELL-POSEDNESS; LONG-TIME BEHAVIOR; REGULARITY;
D O I：
10.1088/1361-6544/ad3a51
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct an example of temperature patch solutions for the two-dimensional, incompressible Boussinesq system with kinematic viscosity such that both the curvature and perimeter grow to infinity over time. The presented example consists of two disjoint, simply connected patches. The rates of growth for both curvature and perimeter in this example are at least algebraic.
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页数：15
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