二维轴对称含尘气体Euler方程组整体经典解的存在性

doi:10.12066/j.issn.1007-2861.2486

Abstract

Abstract: We studied the global existence of classical solutions of two-dimensional axisymmetric Euler equations for dusty gas. We derived a group of characteristic decompositions for a two-dimensional axisymmetric Euler system. Using these characteristic decompositions, we determined a sufficient condition for the initial data to ensure the global existence of classical solutions to the Cauchy problem.

Key words: two-dimensional axisymmetric Euler equations, dusty gas, global classical solution, characteristic decomposition

CLC Number:

O175.27

SONG Haoxiang, LAI Geng. Global existence of classical solutions for two-dimensional axisymmetric Euler equations for dusty gas[J]. Journal of Shanghai University（Natural Science Edition）, 2025, 31(6): 1035-1046.

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Global existence of classical solutions for two-dimensional axisymmetric Euler equations for dusty gas

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