华中师范大学学报（自然科学版）2018，Vol.52Issue(3)：293-297,5.DOI:10.19603/j.cnki.1000-1190.2018.03.001
分数阶阻尼项发展方程解的长期动态
Longtime dynamics of the solutions for a class of evolution equations with fractional damping
摘要
Abstract
In this paper,the global well-posedness and the longtime dynamics of the so lutions for a class of evolution equations with fractional damping on bounded domains are studied.The main results are focused on the relationships among the growth exponent of the nonlinearity,the global well-posedness and the longtime dynamics of the equations.Under certain growth exponent conditions of the nonlinearity,the existence and uniqueness of the weak solutions are established for the above-mentioned evolution equations.关键词
分数阶阻尼项/存在性/唯一性/整体适定性Key words
fractional damping/existence/uniqueness/global well-posedness分类
数理科学引用本文复制引用
张媛媛..分数阶阻尼项发展方程解的长期动态[J].华中师范大学学报（自然科学版）,2018,52(3):293-297,5.基金项目
国家自然科学基金项目(11271336) （11271336）
河南省高等学校重点科研项目(18B110013) （18B110013）
开封市科技发展计划项目(1708008,1808007). （1708008,1808007）
