Abstract
AbstractThis paper considers a single-layer fourth order quasi-geostrophic equation in two-dimensional case. We prove the existence and uniqueness of global smooth solution to the Cauchy problem of this equation by using energy estimate. We also establish a new estimate for the nonlinear term and obtain decay estimates of the solution in $$L^{2}$$
L
2
.
Funder
Natural Science Foundation of Hunan Province
National Natural Science Foundation of China
Natural Science Foundation of Zhejiang Province
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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