Global well-posedness for the 2D dissipative quasi-geostrophic equations in modulation spaces

Weiren Zhao; Jiecheng Chen

doi:10.1002/mma.4301

Global well-posedness for the 2D dissipative quasi-geostrophic equations in modulation spaces

Weiren Zhao, Jiecheng Chen

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the existence of global weak solution of the two-dimensional dissipative quasi-geostrophic equations with small initial data in M^s_ρ and local well-posedness with the large initial data in the same space. Our proof is based on constructing a commutator related to the problem, as well as its estimate.

Original language	English (US)
Pages (from-to)	4246-4258
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	40
Issue number	12
DOIs	https://doi.org/10.1002/mma.4301
State	Published - Aug 2017

Keywords

commutator estimate
global well-posedness
modulation spaces
quasi-geostrophic equations

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.4301

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title = "Global well-posedness for the 2D dissipative quasi-geostrophic equations in modulation spaces",

abstract = "We prove the existence of global weak solution of the two-dimensional dissipative quasi-geostrophic equations with small initial data in Msρ and local well-posedness with the large initial data in the same space. Our proof is based on constructing a commutator related to the problem, as well as its estimate.",

keywords = "commutator estimate, global well-posedness, modulation spaces, quasi-geostrophic equations",

author = "Weiren Zhao and Jiecheng Chen",

note = "Publisher Copyright: Copyright {\textcopyright} 2017 John Wiley & Sons, Ltd.",

year = "2017",

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AU - Chen, Jiecheng

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N2 - We prove the existence of global weak solution of the two-dimensional dissipative quasi-geostrophic equations with small initial data in Msρ and local well-posedness with the large initial data in the same space. Our proof is based on constructing a commutator related to the problem, as well as its estimate.

AB - We prove the existence of global weak solution of the two-dimensional dissipative quasi-geostrophic equations with small initial data in Msρ and local well-posedness with the large initial data in the same space. Our proof is based on constructing a commutator related to the problem, as well as its estimate.

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KW - global well-posedness

KW - modulation spaces

KW - quasi-geostrophic equations

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Global well-posedness for the 2D dissipative quasi-geostrophic equations in modulation spaces

Abstract

Keywords

ASJC Scopus subject areas

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