@MISC{_theexpectation, author = {}, title = {THE EXPECTATION OF SOLUTION OF RANDOM CONTINUITY EQUATION WITH GAUSSIAN VELOCITY}, year = {} }
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Abstract
Abstract. The continuity equation in d-dimensional space with ran-dom velocity eld dened by means of a vector-valued Gaussian process is studied. The expectation of corresponding evolution family of operators is explicitly derived, generalizing in a sense the evolution family correspond-ing to the conventional diusion equation. 1.