Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: atraktor globalny

Sortuj według:

Ogranicz wyniki do:

Averaging of a nonlinear bipolar model with phase transition and oscillating external forces

Medjo T. T.

Journal of Applied Analysis

2015

Vol. 21, nr 2

123--146

In this article, we consider a non-autonomous nonlinear bipolar with phase transition in a two-dimensional bounded domain. We assume that the external force is singularly oscillating and depends on a small parameter ε. We prove the existence of the uniform global attractor Aε. Furthermore, using the method of [9] in the case of the two-dimensional Navier-Stokes systems, we study the convergence of Aε as e goes to zero.

Dynamically equivalent perturbations of linear parabolic equations

Czaja R.

Demonstratio Mathematica

2004

Vol. 37, nr 2

327--348

A family of abstract parabolic equations with sectorial operator is studied in this paper. The conditions are provided to show that the global attractors for each equation exist and coincide. Although the common dynamics is simple, the examples presented in the final part of the paper indicate that the considered family may contain a linear equation together with a large number of its nonlinear perturbations. The mentioned examples include both scalar second order equations and the celebrated Cahn-Hilliard system.

Hyperbolic equations in uniform spaces

Cholewa J. W., Dlotko T.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

Vol. 52, nr 3

249-263

The paper is devoted to the Cauchy problem for a semilinear damped wave equation in the whole of R^n. Under suitable assumptions a bounded dissipative semigroup of global solutions is constructed in a locally uniform space H[...]^R^n) x L[...](R^n). Asymptotic compactness of this semigroup and the existence of a global attractor are then shown.