Abstract
Burgers' equation with stochastic forces is observed in the inviscid limit. The stochastic solution is shown to exist globally in time and to form a pathwise continuous stochastic process in the space of functions with bounded variation (in the space variable) equipped with the topology of L 1 or L 2 . The process reduces to a strong Markov process for Gaussian and white force with global existence of finite expectation values for energy and total variation.
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