Imperial College London
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DrMicheleCoti Zelati

Faculty of Natural Sciences, Department of Mathematics

Royal Society University Research Fellow
 
 
 
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Contact

 

m.coti-zelati Website CV

 
 
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Location

 

6M33Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@unpublished{Coti:2021:10.1007/s00028-021-00752-9,
author = {Coti, Zelati M and Dolce, M and Feng, Y and Mazzucato, AL},
doi = {10.1007/s00028-021-00752-9},
publisher = {Springer Science and Business Media LLC},
title = {Global existence for the two-dimensional Kuramoto–Sivashinsky equation with a shear flow},
url = {http://dx.doi.org/10.1007/s00028-021-00752-9},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - UNPB
AB  - <jats:title>Abstract</jats:title><jats:p>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 and there are linearly growing modes only in the direction of the shear, we prove global existence of solutions with data in <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^2$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">                  <mml:msup>                    <mml:mi>L</mml:mi>                    <mml:mn>2</mml:mn>                  </mml:msup>                </mml:math></jats:alternatives></jats:inline-formula>, using a bootstrap argument. The initial data can be taken arbitrarily large.</jats:p>
AU  - Coti,Zelati M
AU  - Dolce,M
AU  - Feng,Y
AU  - Mazzucato,AL
DO  - 10.1007/s00028-021-00752-9
PB  - Springer Science and Business Media LLC
PY  - 2021///
TI  - Global existence for the two-dimensional Kuramoto–Sivashinsky equation with a shear flow
UR  - http://dx.doi.org/10.1007/s00028-021-00752-9
UR  - http://hdl.handle.net/10044/1/88102
ER  -
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