Non-autonomous 3D Brinkman-Forchheimer equation with singularly oscillating external force and its uniform attractor
Non-autonomous 3D Brinkman-Forchheimer equation with singularly oscillating external force and its uniform attractor
复制标题
具有奇异振荡外力的非自治3D Brinkman-Forchheimer方程及其均匀吸引子
DOI：
10.3934/math.2020102
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发表时间：
2020-01-01
期刊：
影响因子：
2.2
通讯作者：
Wu, Jianhua
中科院分区：
文献类型：
--
作者：
Song, Xueli;Wu, Jianhua
For rho is an element of[0, 1) and epsilon > 0, the non-autonomous 3D Brinkman-Forchheimer equation with singularly oscillating external forceu(t) - nu Delta u + au + b vertical bar u vertical bar(beta)u + del p = f(0)(x, t) + epsilon(-rho) f(1)(x, t/epsilon),divu = 0are considered, together with the averaged equationu(t) - nu Delta u + au + b vertical bar u vertical bar u + c vertical bar u vertical bar(beta)u + del p = f(0)(x, t),divu = 0formally corresponding to the limiting case epsilon = 0. First, within the restriction rho < 1 and under suitable translation-compactness assumptions on the external forces, the uniform (w.r.t.epsilon) boundedness of the related uniform attractors A(epsilon) is established when 1 < beta 0(+) is established.
