Growing sandpile problem with Dirichlet and Fourier boundary conditions
In this work, we study the Prigozhin model for growing sandpile with mixed boundary conditions and an arbitrary time dependent angle of repose. On one part of the boundary the homogeneous Dirichlet boundary condition is provided, on the other one the Robin condition is used. Using the implicit E...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/300/abstr.html |
| Summary: | In this work, we study the Prigozhin model for growing sandpile with mixed
boundary conditions and an arbitrary time dependent angle of repose.
On one part of the boundary the homogeneous Dirichlet boundary condition
is provided, on the other one the Robin condition is used. Using the
implicit Euler discretization in time, we prove the existence and uniqueness
of variational solution of the model and for the numerical analysis we use
a duality approach. |
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| ISSN: | 1072-6691 |