Stochastic dynamic model for porous media equation describing underground resources

N. U. Ahmed, S. Kerbal

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)271-286
Number of pages16
JournalCommunications in Applied Analysis
Issue number2
Publication statusPublished - Apr 2009


  • 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


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