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Qianjin Ave, Changchun, Jilin 130012, China"}]},{"given":"Weishi","family":"Yin","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Changchun University of Science and Technology, 7089. Weixing Rd, Changchun, Jilin 130022, China"}]},{"given":"Pinchao","family":"Meng","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Changchun University of Science and Technology, 7089. Weixing Rd, Changchun, Jilin 130022, China"}]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2024021-1","doi-asserted-by":"publisher","unstructured":"D. Bresch, B. Desjardins, Existence of global weak solutions for a 2D viscous shallow water equations and convergenceto the quasi-geostrophic mode, <i>Commun. Math. Phys.<\/i>, <b>238<\/b> (2003), 211\u2013223. https:\/\/doi.org\/10.1007\/s00220-003-0859-8","DOI":"10.1007\/s00220-003-0859-8"},{"key":"key-10.3934\/nhm.2024021-2","doi-asserted-by":"publisher","unstructured":"E. Burman, P. 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