郑州大学学报(理学版)2011,Vol.43Issue(1):11-15,5.
不可压渗流方程解的衰减估计
The Decay Rate of Solution to Incompressible Porous Medium Equations
摘要
Abstract
A decay rate of the solution was derived to the incompressible porous medium equations governed by Darcy's law, with the property of the semigroup operator e-t(-Δ)a and L2-norms.A new concise method was established to get the better decay rate in L2 (R3 ), which avoided using the Fourier splitting technique completely and a rough decay estimates of ‖ ▽T(t) ‖ L2.关键词
不可压渗流方程/半群算子e-t(-Δ)α/衰减估计Key words
incompressible porous medium equations/ operator semigroup e-t(-Δ)a/ decay estimates分类
数理科学引用本文复制引用
阎小丽,邓慧琳..不可压渗流方程解的衰减估计[J].郑州大学学报(理学版),2011,43(1):11-15,5.基金项目
河南省杰出青年科学基金资助项目,编号104100510015 ()
河南省高校科技创新人才支持计划项目,编号2009HASTIT007,河南理工大学研究生学位论文创新基金资助项目. ()