The burgers equation with a noisy force and the stochastic heat equation
- 1 January 1994
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 19 (1-2) , 119-141
- https://doi.org/10.1080/03605309408821011
Abstract
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.Keywords
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