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Anomalous Diffusion in Polymers: Long-Time Behaviour

  • Dmitry A. Vorotnikov
Chapter
Part of the Fields Institute Communications book series (FIC, volume 64)

Abstract

We study the Dirichlet boundary value problem for viscoelastic diffusion in polymers. We show that its weak solutions generate a dissipative semiflow. We construct the minimal trajectory attractor and the global attractor for this problem.

Notes

Acknowledgements

The work was partially supported by RFBR.

Received 9/8/2009; Accepted 6/3/2010

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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Faculty of MathematicsVoronezh State UniversityVoronezhRussia

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