Estimates for the Transport and Fokker–Planck Equations

Diogo A. Gomes*, Edgard A. Pimentel, Vardan Voskanyan

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this chapter, we turn our attention to the second equation in the MFG system, the transport equation, (formula preseted) is a smooth vector field. Both (4.1) and (4.2) are equipped with the initial condition m(x,0)=m0(x).

Original languageEnglish (US)
Title of host publicationSpringerBriefs in Mathematics
PublisherSpringer Science and Business Media B.V.
Number of pages23
StatePublished - 2016

Publication series

NameSpringerBriefs in Mathematics
ISSN (Print)2191-8198
ISSN (Electronic)2191-8201


  • Mass Conservation
  • Relative Entropy
  • Transport Equation
  • Vector Field
  • Weak Solution

ASJC Scopus subject areas

  • General Mathematics


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