Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899798 | Physica D: Nonlinear Phenomena | 2010 | 21 Pages |
Abstract
The Riemann problem for a forward–backward parabolic equation of interest in physical and biological models is studied. A complete classification of suitably defined entropy solutions is provided. Thereafter, the existence and uniqueness of a solution is proven, and its type is identified.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Brian H. Gilding, Alberto Tesei,