Abstract：In this paper， the global well-posedness and the longtime dynamics of the solutions 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.
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.
ZHANG Yuanyuan. Longtime dynamics of the solutions for a class of evolution equations with fractional damping. journal1, 2018, 52(3): 293-297.
2018, Vol. 52 
