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EXISTENCE OF WEAK SOLUTIONS OF 3-D EULER EQUATIONS WITH AXIAL SYMMETRV

EXISTENCE OF WEAK SOLUTIONS OF 3-D EULER EQUATIONS WITH AXIAL SYMMETRV
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摘要 3-D Euler equations is considered in this paper. In cylindrical coordinatesystems, if the components of the velocity fields and scalar function pdo not depend on polar angle θand uθ= 0, author first gives a detailed Proof of someestimates in Section 2 and then obtains the global existence of weak solutions of 3-D Eulerequations in Section 3. 3-D Euler equations is considered in this paper. In cylindrical coordinatesystems, if the components of the velocity fields and scalar function pdo not depend on polar angle θand uθ= 0, author first gives a detailed Proof of someestimates in Section 2 and then obtains the global existence of weak solutions of 3-D Eulerequations in Section 3.
作者 酒全森
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第1期107-113,共7页 数学物理学报(B辑英文版)
关键词 EXISTENCE Euler equations weak solutions Existence, Euler equations, weak solutions
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