Display Abstract
 Title Asymptotic structure of the attractor for processes on time-dependent spaces
 Name Monica Conti Country Italy Email monica.conti@polimi.it Co-Author(s) Vittorino Pata Submit Time 2014-02-26 06:26:00 Session Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
 Contents We compare the asymptotic structure of the time-dependent attractor $A_t$ generated by the partial differential equation $$\eps u_{tt}+ \alpha u_t-\Delta u+f(u)=g,$$ where the positive function $\eps=\eps(t)$ tends to zero as $t\to\infty$, with the global attractor $A_\infty$ of its formal limit $$\alpha u_t-\Delta u+f(u)=g.$$ We establish an abstract result and we apply it to the proof of the convergence $A_t\to A_\infty$.