S. Patrizi

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math.AP2022

Stochastic homogenization of a porous-medium type equation

Stefania Patrizi

We consider the homogenization problem for the stochastic porous-medium type equation $\p_{t} u^ε=Δf\left(T\left(\frac{x}{\ep}\right)\om,u^\ep\right)$, with a well-prepared initial…

math.AP2009

Homogenization of first order equations with $u / ε$ -periodic Hamiltonian: Rate of convergence as $ε \to 0$ and numerical approximation of the effective Hamiltonian

Stefania Patrizi, Yves Achdou

We consider homogenization problems for first order Hamilton-Jacobi equations with $u^{ε} / ε$ periodic dependence, recently introduced by C. Imbert and R. Monneau, and also studied by…

Stochastic homogenization of a porous-medium type equation

Homogenization of first order equations with u/ε-periodic Hamiltonian: Rate of convergence as ε→0 and numerical approximation of the effective Hamiltonian

Homogenization of first order equations with $u / ε$ -periodic Hamiltonian: Rate of convergence as $ε \to 0$ and numerical approximation of the effective Hamiltonian