Global Strong Solution to the Nonhomogeneous Benard System with Large Initial Data and Vacuum

被引：5

作者：

Zhong, Xin ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 01期

关键词：

Nonhomogeneous Benard system; global strong solution; Cauchy problem; large initial data; vacuum;

D O I：

10.1007/s00025-020-01338-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a unique global strong solution for nonhomogeneous Benard system with zero density at infinity on the whole two-dimensional (2D) space. In particular, the initial data can be arbitrarily large and the initial density can contain vacuum states and even have compact support. Our method relies heavily on the structure of the system under consideration and spatial dimension.

引用

页数：19

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