Attractors And Their Stability Of The Extensible Beam Equation With Rotational Inertia

In this paper we consider the well-posedness,the attractor and its stability for the beam equation of a rotational inertial force:（?）where α∈(0,1],Ω is a bounded domain in RN with the smooth boundary（?）Ω,f（u）is a nonlinear source term with the growth exponent p.We prove the well-posedness of problem（0.1）,and the existence and the regularity of the global attractor in space H₁=V₂ × V₁.Moreover,the upper semi-continuity of global attractors are proved on the parameter a.Besides,we prove the existence in space H₀=V₁ × L² and the stability of the exponential attractors on the parameter α.