Estimates for the Transport and Fokker–Planck Equations

Diogo A. Gomes; Edgard A. Pimentel; Vardan Voskanyan

doi:10.1007/978-3-319-38934-9_4

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 proceeding › Chapter › peer-review

Abstract

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 language	English (US)
Title of host publication	SpringerBriefs in Mathematics
Publisher	Springer Science and Business Media B.V.
Pages	39-61
Number of pages	23
DOIs	https://doi.org/10.1007/978-3-319-38934-9_4
State	Published - 2016

Publication series

Name	SpringerBriefs in Mathematics
ISSN (Print)	2191-8198
ISSN (Electronic)	2191-8201

Keywords

Mass Conservation
Relative Entropy
Transport Equation
Vector Field
Weak Solution

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-319-38934-9_4

Cite this

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title = "Estimates for the Transport and Fokker–Planck Equations",

abstract = "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).",

keywords = "Mass Conservation, Relative Entropy, Transport Equation, Vector Field, Weak Solution",

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AU - Pimentel, Edgard A.

AU - Voskanyan, Vardan

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KW - Mass Conservation

KW - Relative Entropy

KW - Transport Equation

KW - Vector Field

KW - Weak Solution

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M3 - Chapter

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PB - Springer Science and Business Media B.V.

ER -

Estimates for the Transport and Fokker–Planck Equations

Abstract

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Keywords

ASJC Scopus subject areas

Access to Document

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