The critical forms of the attractors for semigroups and the existence of critical attractors

Liu De1
1Department of Mathematics, Inner Mongolia University, Huhehaot, People's Republic of China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Chepyzhov V. V., 1992, Unbounded attractors of evolution equations, Adv. Sov. Math., 10, 85

10.1070/RM1993v048n03ABEH001033

Hale J. K. 1988 Asymptotic behavior of dissipative systems. Providence RI: AMS.

Ladyzhenskaya O. 1972 On the dynamical system generated by the Navier-Stokes equations. Zapiskii of nauchnich seminarovs LOMI (Leningrad) 27 91-114.

Ladyzhenskaya O., 1987, On finding the minimal global attractors for the Navier-Stokes equations and other PDE, Usp. Math. Nauk., 42, 25

Ladyzhenskaya O. 1991 Attractors for semigroups and evolution equations pp. 3-14. Cambridge University Press.

Temam R. 1988 Infinite-dimensional dynamical systems in mechanics and physics 1st edn. Applied Mathematical Sciences Series vol. 68. New York: Springer. (1997 2nd edn.)