• Title of article

    On the Cauchy problem for the transport equation with random noise

  • Author/Authors

    Jong Uhn Kim، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    32
  • From page
    3328
  • To page
    3359
  • Abstract
    We establish the existence and uniqueness of a solution to the Cauchy problem for the transport equation with random noise in Rd . When the vector field is time-periodic and the noise is multiplicative and nondegenerate, we show the existence of a time-periodic measure, which includes an invariant measure as a special case. © 2010 Elsevier Inc. All rights reserved
  • Keywords
    Random noise , Transport equation , Time-periodic measure
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2010
  • Journal title
    Journal of Functional Analysis
  • Record number

    840334