辽宁工程技术大学学报（自然科学版）2017，Vol.36Issue(12)：1332-1338,7.DOI:10.11956/j.issn.1008-0562.2017.12.019
一类Boussinesq方程解的局部存在性
Local existence result for a class of Boussinesq equations
摘要
Abstract
In order to seek the existence of solution to the 3D Boussinesq equations with fractional dissipative term,this paper proved that the solution to the 3D Boussinesq equations exists locally by utilizing the mollifier with the regularizing method and classical energy method,and the blow-up criteria for this solution was given.The results of study extend the previous two dimensional case to three dimensional case,and extend the generalized dissipative terms to more complex Boussinesq equations with fractional dissipative terms,which can more accurately reflect the fluid movement.关键词
分数阶耗散项/Boussinesq方程/光滑化/正则化/存在性/粘性流/爆破准则Key words
Fractional dissipative term/Boussinesq equations/mollification/regularize/existence/viscous flow/blow-up criteria分类
数理科学引用本文复制引用
李林锐,王长有,霍振香..一类Boussinesq方程解的局部存在性[J].辽宁工程技术大学学报（自然科学版）,2017,36(12):1332-1338,7.基金项目
河北省科技计划项目(16275432) （16275432）
河北省高等学校科学技术研究项目(Z2017047) （Z2017047）
中央高校基本科研业务费专项基金(2016013108) （2016013108）
