多维非均质不可压缩热传导方程的适定性  

Well-Posedness of Multi-dimensional Inhomogeneous Incompressible Heat-Conducting Equation

作　　者：王晓杰 辛泽惠 徐夫义 WANG Xiaojie;XIN Zehui;XU Fuyi(School of Mathematics and Statistics,Shandong University of Technology,Zibo 255049,Shandong Province,China)

机构地区：[1]山东理工大学数学与统计学院,山东淄博255049

出　　处：《吉林大学学报（理学版）》2024年第3期565-572,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12326430);山东省自然科学基金(批准号:ZR2021MA017).

摘　　要：利用调和分析方法和Lagrange方法研究多维非均质不可压缩热传导方程的Cauchy问题,在临界Besov空间中证明该系统在小初值条件下强解的整体适定性.By using the harmonic analysis method and Lagrangian method,we studied the Cauchy problem for the multi-dimensional inhomogeneous incompressible heat\|conducting equations and proved the global well-posedness of strong solutions for the system under small initial data conditions in the critical Besov spaces.

关 键 词：非均质不可压缩热传导方程 临界Besov空间 Lagrange坐标 适定性 

分 类 号：O175.2[理学—数学]