Attractors of non-autonomous partial differential equations and their dimension

Rok, strany: 1994, 221 - 234

We have studied uniform attractors of non-autonomous nonlinear partial differential equation with almost periodic (a.p.) symbols. We have proved the attractor existence theorem for the 2D Navier-Stokes system with a.p. in time external forces, for the reaction-diffusion system and for the dissipative hyperbolic equation with a.p. in time terms. When symbols are quasiperiodic (q.p.) in time functions, we present the upper bounds for the Hausdorff dimension of uniform attractors of above problems arising in mathematical physics.

ISO 690:

Vishik, M., Chepyzhov, V. 1994. Attractors of non-autonomous partial differential equations and their dimension. In Tatra Mountains Mathematical Publications, vol. 4, no.1, pp. 221-234. 1210-3195.

APA:

Vishik, M., Chepyzhov, V. (1994). Attractors of non-autonomous partial differential equations and their dimension. Tatra Mountains Mathematical Publications, 4(1), 221-234. 1210-3195.