In this paper, we consider the initial boundary value problem of the 2D compressible primitive equations with density-dependent viscosity for atmospheric dynamics. Local existence and uniqueness of strong solutions to this system are established with any H-2 initial data. The initial vacuum is allowed.
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Bihari I., 1956, Acta Math. Acad. Sci. Hungar, V7, P81, DOI [DOI 10.1007/BF02022967, 10.1007/BF02022967]
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Florida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USAFlorida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USA
Cao, Chongsheng
;
Li, Jinkai
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South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Zhong Shan Ave West 55, Guangzhou 510631, Peoples R ChinaFlorida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USA
Li, Jinkai
;
Titi, Edriss S.
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Texas A&M Univ, Dept Math, 3368 TAMU, College Stn, TX 77843 USA
Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, IsraelFlorida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USA
机构:
Florida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USAFlorida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USA
Cao, Chongsheng
;
Li, Jinkai
论文数: 0引用数: 0
h-index: 0
机构:
South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Zhong Shan Ave West 55, Guangzhou 510631, Peoples R ChinaFlorida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USA
Li, Jinkai
;
Titi, Edriss S.
论文数: 0引用数: 0
h-index: 0
机构:
Texas A&M Univ, Dept Math, 3368 TAMU, College Stn, TX 77843 USA
Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, IsraelFlorida Int Univ, Dept Math, Univ Pk, Miami, FL 33199 USA