LOCAL STRONG SOLUTIONS TO THE NONHOMOGENEOUS BENARD SYSTEM WITH NONNEGATIVE DENSITY

被引：8

作者：

Zhong, Xin ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 04期

关键词：

nonhomogeneous Benard system; strong solutions; Cauchy problem; nonnegative density; GLOBAL WELL-POSEDNESS; NAVIER-STOKES EQUATIONS; EXISTENCE; BOUNDARY;

D O I：

10.1216/rmj.2020.50.1497

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Cauchy problem of the nonhomogeneous Benard system in the whole two-dimensional (2D) space, where the density is allowed to vanish initially. We prove that there exists a unique local strong solution. To compensate for the lack of integrability of the velocity in the whole space, a careful space weight is imposed on the initial density, which cannot decay too slowly in the far field.

引用

页码：1497 / 1516

页数：20

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