The authors establish a Serrin's regularity criterion for the β-generalized dis- sipative surface quasi-geostrophic equation. More precisely, it is shown that if the smooth solution β satisfies
基金supported by the National Natural Science Foundation of China(Nos.11501453,11371294,11326155,11401202)the Fundamental Research Funds for the Central Universities(No.2014YB031)+2 种基金the Fundamental Research Project of Natural Science in Shaanxi Province–Young Talent Project(No.2015JQ1004)the Scientific Research Fund of Hunan Provincial Education Department(No.14B117)the China Postdoctoral Science Foundation(No.2015M570053)
文摘The authors establish a Serrin's regularity criterion for the β-generalized dis- sipative surface quasi-geostrophic equation. More precisely, it is shown that if the smooth solution β satisfies