Homogenization of a stochastic viscous Burgers' type equation

Ioana Ciotir (1) , Nicolas Forcadel (1) , Wilfredo Salazar (1)

1 LMI - Laboratoire de Mathématiques de l'INSA de Rouen Normandie

In the present paper we consider a locally perturbed transport stochastic equation. First, we prove an existence and uniqueness result for a global solution. We then prove an homogenization result for this equation.

Mots clés: Stochastic homogenization; mild solution; transport equation

Domaines: Probabilités [math.PR]; Equations aux dérivées partielles [math.AP]

Ioana Ciotir, Nicolas Forcadel, Wilfredo Salazar. Homogenization of a stochastic viscous Burgers' type equation. 2015. ⟨hal-01169783⟩