Preprint
Uniqueness of solution for a nonlinear heterogeneous evolution dam problem
Messaouda Ben Attia, Elmehdi Zaouche, Mahmoud Bousselsal
Abstract
By choosing convenient test functions and using the method of doubling variables, we prove the uniqueness of the solution to a nonlinear evolution dam problem in an arbitrary heterogeneous porous medium of IR^n (n≥2) with an impermeable horizontal bottom.
Details
| Original language | English |
|---|---|
| DOI | 10.22541/au.164864846.69111218/v1 |
| Publication status | Published — 30 March 2022 |
Keywords
Fingerprint
- Nonlinear Partial Differential Equations
- Differential Equations and Boundary Problems
- Advanced Mathematical Modeling in Engineering
- uniqueness of solutions
- benchmark functions
- free boundary problem
- nonlinear parabolic equations
- Applied Mathematics
- Computational Theory and Mathematics
- Mathematics
- Computer Science