Open AccessOn the Fokker–Planck equations with inflow boundary conditions
Author(s) -
Hyung Ju Hwang,
Du Phan
Publication year - 2017
Publication title -
quarterly of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 41
eISSN - 1552-4485
pISSN - 0033-569X
DOI - 10.1090/qam/1462
Subject(s) - inflow , fokker–planck equation , boundary (topology) , boundary value problem , work (physics) , robin boundary condition , mathematics , mathematical analysis , physics , mixed boundary condition , mechanics , partial differential equation , thermodynamics
The results in this paper extend those of a 2014 work of the first author, Jang and Velázquez. Instead of considering absorbing boundary data, we treat the general inflow boundary conditions and obtain the well–posedness, regularity up to the singular set, and asymptotic behavior of solutions to the Fokker–Planck equation in an interval with the inflow boundary conditions.