Notice
This item was automatically migrated from a legacy system. It's data has not been checked and might not meet the quality criteria of the present system.
Record link: 
http://hdl.handle.net/20.500.12708/142414
-
Title: 
Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method.
-
Citation: 
Achleitner, F., Jüngel, A., & Yamamoto, M. (2019). Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method. Nonlinear Analysis: Theory, Methods and Applications, 179, 270–293. https://doi.org/10.1016/j.na.2018.08.017
-
Publisher DOI: 
10.1016/j.na.2018.08.017
-
Publication Type: 
Article - Original Research Article
en
Authors: 
Achleitner, Franz 
Jüngel, Ansgar 
Yamamoto, Masakazu 
-
Organisational Unit: 
E101-01 - Forschungsbereich Analysis 
-
Journal: 
Nonlinear Analysis: Theory, Methods and Applications 
-
ISSN: 
0362-546X
-
Date (published): 
2019
-
Number of Pages: 
24
-
Peer reviewed: 
Yes
-
Keywords: 
Applied Mathematics; Analysis; Drift-diffusion-Poisson system; Fractional dissipation; Self-similar asymptotics; Large-time behavior
-
Abstract: 
The self-similar asymptotics for solutions to the drift-diffusion equation with fractional dissipation, coupled to the Poisson equation, is analyzed in the whole space. It is shown that in the subcritical and supercritical cases, the solutions converge to the fractional heat kernel with algebraic rate. The proof is based on the entropy method and leads to a decay rate in the L^1(R^d) norm. The technique is applied to other semilinear equations with fractional dissipation.
en
Research Areas: 
Mathematical and Algorithmic Foundations: 100%
-
Science Branch: 
Mathematik
-
Appears in Collections:
Article

Show full item record

Page view(s)

93
checked on Dec 1, 2023

Google ScholarTM

Check