TY - JOUR
T1 - Persistence of Besov Regularity for a Generalized Drift-Diffusion Equation with Pressure
AU - Zhao, Weiren
N1 - Funding Information:
The author is partially supported by NSF of China under Grant 11571306.
Publisher Copyright:
© 2017, Springer Science+Business Media B.V., part of Springer Nature.
PY - 2018/4/1
Y1 - 2018/4/1
N2 - In this paper, we prove that Besov regularity of the initial data can persist for a generalized drift-diffusion equation with pressure under a very weak condition on the drift velocity. In particular, the solution is Hölder continuous.
AB - In this paper, we prove that Besov regularity of the initial data can persist for a generalized drift-diffusion equation with pressure under a very weak condition on the drift velocity. In particular, the solution is Hölder continuous.
KW - Besov space
KW - Bony’s decomposition
KW - Drift-diffusion equation
KW - Littlewood-Paley analysis
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U2 - 10.1007/s10440-017-0134-1
DO - 10.1007/s10440-017-0134-1
M3 - Article
AN - SCOPUS:85033448858
SN - 0167-8019
VL - 154
SP - 83
EP - 93
JO - Acta Applicandae Mathematicae
JF - Acta Applicandae Mathematicae
IS - 1
ER -