Global Existence of Strong Solution to 3D Atmospheric Thermal Equation

4th International Conference on Advances in Energy Resources and Environment Engineering

能源学;生态环境科学

Dou, Changsheng^1 ; Xu, Yawen^1

School of Statistics, Capital University of Economics and Business, Beijing

100070, China^1

关键词: Existence of Solutions;    Fixed point theorems;    Global existence;    Lax-Milgram theorem;    Neumann boundary condition;    Strong solution;    Thermal equations;    Thermal systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/237/2/022016/pdf
DOI  :  10.1088/1755-1315/237/2/022016

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

In this paper, the atmospheric thermal system (1.1) in a bounded domain with Neumann boundary condition (1.4) is considered. In order to get the global existence of strong solution, the difficulties which result from the boundary condition need to be dealed with, and the uniform estimates with respect to the time t in [0, T] should be shown. For this, the modified Lax-Milgram theorem is used to get the existence of linearised system, then take the method of fixed-point theorem to obtain the existence of solution to the nonlinear system.