【摘要】 研究如下形式的 Cahn- Hillard方程的大范围动力学行为ut-μ△ ut-△ K (u) =0 ,　Ω× R+ ,K(u) =-λ△ u +f (u) ,f (u) = 2 p-1j=1ajuj,p∈ N ,p≥ 1and p =2 if n =3.利用先验估计等经典方法 ,在一定条件下证明了大范围吸引子的存在性与惟一性定理 .这完全不同于 Dlotko和 Cholewa等人所做的结果 .更多还原

【Abstract】 In this paper we discuss the global dynamics of the viscous Cahn- Hilliard equation with the following form ut-μ△ ut-△ K (u) =0 ,Ω× R+ , K(u) =-λ△ u +f (u) , f (u) = 2 p-1 j=1 ajuj,p∈ N ,p≥ 1and p =2 if n =3. By using of the classical methods as priori estimates,the existence and uniqueness theorems of the global attractor are proved under some suitable conditions.These results are different from the re- lated results of Dlotko and Cholewa.更多还原