# Anticipating stochastic equation of two-dimensional second grade fluids

## TL;DR

This paper studies a stochastic model of incompressible second grade fluids in two dimensions with anticipating initial conditions, proving the existence and uniqueness of solutions under linear multiplicative noise.

## Contribution

It introduces a stochastic model with anticipating initial conditions for second grade fluids and establishes well-posedness results.

## Key findings

- Existence of solutions is proven.
- Uniqueness of solutions is established.
- Model handles anticipating initial conditions.

## Abstract

In this paper, we consider a stochastic model of incompressible second grade fluids on a bounded domain of R^2 driven by linear multiplicative Brownian noise with anticipating initial conditions. The existence and uniqueness of the solutions are established.