Global attractors for the Benjamin-Bona-Mahony equation with memory

Filippo Dell'Oro, Olivier Goubet, Youcef Mammeri +1

We consider the nonlinear integrodifferential Benjamin-Bona-Mahony equation $$u_t-u_{txx}+u_x-{\int }_0^{\infty }g(s)u_{xx}(t-s)\mathrm{d}s+u{u}_x=f$$ where the dissipation i…