Abstract
We consider a stochastic model for porous media flow. This is a degenerate nonlinear stochastic parabolic partial differential equation which may change type from parabolic to elliptic and vice versa. We present existence and regularity of weak solutions. We formulate certain control problems for aquifers (under ground water reservoirs) and discuss some open problems.
| Original language | English |
|---|---|
| Pages (from-to) | 271-286 |
| Number of pages | 16 |
| Journal | Communications in Applied Analysis |
| Volume | 13 |
| Issue number | 2 |
| Publication status | Published - Apr 2009 |
Keywords
- Aquifers
- Nonlinear stochastic partial differential equations
- Optimal feedback control laws
- Porous media equations
- Stochastic models
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics