三维柱对称定常非齐次不可压 Euler 方程管道问题解的适定性及无穷远渐近速率

Abstract

Abstract:

This paper studies the three-dimensional incompressible Euler flows in axisymmetric nozzles with a symmetric body. The well-posedness is established by stream function method and barrier function. Base on the above well-posedness, the far field convergence rates of the solutions are studied: if the infinite nozzles are the flat boundary outside the finite length, the solution of the equation converges to an asymptotic state at the exponential rate; if the infinite nozzles converge to the flat boundary with the polynomial rates, the solutions converge to the asymptotic states at the same polynomial rates.

Key words: Incompressible Euler equations, Axisymmetric Nozzles, Well-posedness, Convergence rates

CLC Number:

O175.2

Lin Jie, Wang Tianyi. Well-Posedness and Convergence Rates of Three-Dimensional Incompressible Euler Flows in Axisymmetric Nozzles with Symmetric Body[J].Acta mathematica scientia,Series A, 2023, 43(1): 219-237.

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Well-Posedness and Convergence Rates of Three-Dimensional Incompressible Euler Flows in Axisymmetric Nozzles with Symmetric Body

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