Global existence for the two-dimensional Kuramoto-Sivashinsky equation
with a shear flow
with a shear flow
File(s)
Working paper
Author(s)
Zelati, Michele Coti
Dolce, Michele
Feng, Yuanyuan
Mazzucato, Anna L
Type
Working Paper
Abstract
We consider the Kuramoto-Sivashinsky equation (KSE) on the two-dimensional
torus in the presence of advection by a given background shear flow. Under the
assumption that the shear has a finite number of critical points, we prove
global existence of solutions with data in $L^2$, using a bootstrap argument.
The initial data can be taken arbitrarily large.
torus in the presence of advection by a given background shear flow. Under the
assumption that the shear has a finite number of critical points, we prove
global existence of solutions with data in $L^2$, using a bootstrap argument.
The initial data can be taken arbitrarily large.
Date Issued
2021-03-04
Citation
2021
Publisher
arXiv
Copyright Statement
© 2021 The Author(s)
Identifier
http://arxiv.org/abs/2103.02971v1
Subjects
math.AP
math.AP
35K25, 35K58, 76E06, 76F25
Publication Status
Published