Partial Differential Equations with Stochastic Data

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Different random fields used as coefficient

In this project we consider different types of partial differential equations with different types of uncertainty. More precisely we look at existence and uniqueness of solutions and numerical methods to simulate the solutions for:

  • Statistical solutions of the Navier-Stokes equations
  • Elliptic equations with stochastic coefficients
  • Hyperbolic equations with stochastic coefficients

 

 

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