论文信息 - The Burgers equation with a noisy force and the stochastic heat equation

The Burgers equation with a noisy force and the stochastic heat equation

We consider the multidimensional Burgers equation with a viscosity term and a random force modelled by a functional of time-space white noise, Wick products. Then we show that the nonlinear equation (B) can be transformed into a linear, stochastic heat equation with a noisy potential. This heat equation is solved explicitly in the following two cases.

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