一类非齐次粘弹性变密度方程解的能量衰减率  

Energy decay rate for a class of inhomogeneous viscoelastic equations with variable density

作　　者：孔令硕 李傅山[1] KONG Lingshuo;LI Fushan(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2023年第2期51-61,共11页Journal of Qufu Normal University(Natural Science)

基　　金：山东省自然科学基金(ZR2019MA067).

摘　　要：在Ω×(0,∞)上考虑一类非齐次粘弹性变密度方程|u_(t)|^(ρ)u_(tt)+Δ^(2)u-M∫_(Ω)|▽u|^(2)d xΔu-μΔu tt-∫^(t)0g(t-s)Δ^(2)u(s)d s=f(u).在记忆核和源项的一般假设下,通过建立微分不等式,证明了其初边值问题解的能量衰减率.A class of inhomogeneous viscoelastic variable density equations is considered in this paper|u_(t)|^(ρ)u_(tt)+Δ^(2)u-M∫_(Ω)|▽u|^(2)d xΔu-μΔu tt-∫^(t)0g(t-s)Δ^(2)u(s)d s=f(u).inΩ×(0,∞).Under the general assumption of memory kernel and source term,the energy decay rate of the initial boundary value problem is proved by establishing the differential inequality.

关 键 词：记忆核 变密度 粘弹性方程 能量衰减 

分 类 号：O175.2[理学—数学]