辽宁工程技术大学学报（自然科学版）2017，Vol.36Issue(9)：990-995,6.DOI:10.11956/j.issn.1008-0562.2017.09.017
一类广义Boussinesq方程组解的存在性及正则性
Existence and regularity criterion for a class of generalized Boussinesq equations
摘要
Abstract
In order to survey the existence and uniqueness of solution as well as the relevant qualitative properties for Boussinesq equations with fractional dissipative term,classical Galerkin method and energy method were used to obtain the weak solution and regularized solution for the generalized Boussinesq equations,and the weak solution is local.The regularized results was studied with the aid of Gagliardo-Nirenberg inequality and the others inequality.The results of study improve and extend the ones in the previous works to a large extent,reveal the physical phenomenon of fluid motion,and provide the necessary theoretical basis for the development of fluid hydraulics.关键词
分数阶耗散项/广义Boussinesq方程/存在性/粘性流/正则化准则Key words
fractional dissipative term/generalized Boussinesq equations/existence/viscous flow/regularized criterion分类
数理科学引用本文复制引用
李林锐,赵玲玲,王长有..一类广义Boussinesq方程组解的存在性及正则性[J].辽宁工程技术大学学报（自然科学版）,2017,36(9):990-995,6.基金项目
防灾科技学院教学研究与教学改革项目(JY2016B15) （JY2016B15）
中国地震局教师科研基金(20150111) （20150111）
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）
