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Global well‐posedness for the 2D dissipative quasi‐geostrophic equations in modulation spaces
Author(s) -
Zhao Weiren,
Chen Jiecheng
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4301
Subject(s) - dissipative system , mathematics , geostrophic wind , commutator , space (punctuation) , modulation space , mathematical analysis , pure mathematics , algebra over a field , computer science , physics , lie conformal algebra , quantum mechanics , operating system , mechanics
We prove the existence of global weak solution of the two‐dimensional dissipative quasi‐geostrophic equations with small initial data inM p , σ sand 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. Copyright © 2017 John Wiley & Sons, Ltd.