Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity | Zendy

Shengfan Zhou | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity

Author(s) -

Shengfan Zhou

Publication year - 2000

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2000.020

Subject(s) - hausdorff dimension , mathematics , attractor , discretization , dimension (graph theory) , minkowski–bouligand dimension , mathematical analysis , effective dimension , space (punctuation) , periodic boundary conditions , nonlinear system , boundary (topology) , boundary value problem , fractal dimension , pure mathematics , fractal , physics , linguistics , philosophy , quantum mechanics

The existence and Hausdorff dimension of the global attractor fordiscretization of a damped wave equation with the periodic nonlinearityunder the periodic boundary conditions are studied for any spacedimension. The obtained Hausdorff dimension is independent of the meshsizes and the space dimension and remains small for large damping, whichconforms to the physics.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research