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Partial differential Volterra equations

Research outline (useful links)

I am involved in research with Prof. J. R. Whiteman focusing on:

(i) the elliptic Volterra problem, find u such that

[Equation]

(ii) the parabolic Volterra problem, find u such that

[Equation]

and, (iii) the hyperbolic Volterra problem, find u such that

[Equation]
plus initial and boundary data as appropriate.

Such equations arise when modelling physical problems associated with viscoelastic materials such as polymers. For example: (H) arises by combining Newton's second law with a "Hooke's law with memory", and is used to model dynamic response; (V) models the quasistatic response resulting from neglecting inertial effects; and, (P) models the non-Fickian diffusion effect that results from the memory in the constitutive law.

When mathematics is properly supported I hope to make available a detailed synopsis of our research which will include links to relevant reports, publications etc.



URL: people.brunel.ac.uk/~icsrsss/research/home.shtml
Maintained by: Simon.Shaw@brunel.ac.uk
Last modified Saturday, 23-Oct-1999 15:44:16 BST.


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