Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment. (English) Zbl 1217.35016
The authors build models for short-term, mean-term and long-term dynamics of dune and megariple morphodynamics. The existence and uniqueness result for short-term and mean-term models are given. This result is based on a time-space periodic solution existence result for degenerated parabolic equation.
Reviewer: Jiaqi Mo (Wuhu)
MSC:
| 35B25 | Singular perturbations in context of PDEs |
| 35K65 | Degenerate parabolic equations |
| 35B10 | Periodic solutions to PDEs |
| 92F05 | Other natural sciences (mathematical treatment) |
| 35B27 | Homogenization in context of PDEs; PDEs in media with periodic structure |
| 35C20 | Asymptotic expansions of solutions to PDEs |
