大连理工大学学报2025，Vol.65Issue(3)：321-330,10.DOI:10.7511/dllgxb202503014
具有非局部弱阻尼和反阻尼的板方程全局吸引子
Global attractors for plate equations with nonlocal weak damping and anti-damping
摘要
Abstract
The existence of global attractors for the Kirchhoff-type plate equation with nonlocal weak damping and anti-damping is proved when the growth exponent of the nonlinearity is up to the critical cases.Firstly,the global well-posedness of solution is proved by the well-posedness theory for the development equation of m-accretive operator with local Lipschitz perturbation.Secondly,the dissipative property of the system is proved by constructing a new Gronwall inequality.Finally,the asymptotic smoothness of the equation is discussed by using the compression function method,and then the existence of the global attractor of the discussed equation is obtained.关键词
板方程/Kirchhoff型/非局部弱阻尼/反阻尼/全局吸引子Key words
plate equations/Kirchhoff-type/nonlocal weak damping/anti-damping/global attractors分类
数学引用本文复制引用
刘润杰,徐玲..具有非局部弱阻尼和反阻尼的板方程全局吸引子[J].大连理工大学学报,2025,65(3):321-330,10.基金项目
国家自然科学基金资助项目(11961059,12101502) （11961059,12101502）
高校教师创新基金资助项目(2023B-062). （2023B-062）
