Diffusion processes in thin tubes and their limits on graphs (Q690875)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusion processes in thin tubes and their limits on graphs |
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Diffusion processes in thin tubes and their limits on graphs (English)
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29 November 2012
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Diffusion processes on tubular domains are investigated with conditions of not reaching the boundary or with reflecting boundary. Existence and uniqueness of the limit process when the domains are shrinking to graphs are proved. The limit process is then characterized by a second-order differential generator acting on functions defined on the limit graphs with Kirchhoff boundary conditions at the vertices.
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diffusion process
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thin tube
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graph
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Dirichlet boundary
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Neumann boundary
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Kirchhoff boundary
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weak convergence
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