带有非局部效应的耦合流体模型的局部经典解

doi:10.12066/j.issn.1007-2861.2586

Abstract

Abstract: This paper studied a class of fluid models with non-local effects, which consisted of compressible Euler equations coupled with incompressible Navier-Stokes equations, where the communication kernel of the non-local terms had a fractional Laplacian operator structure. Euler equations were reconstructed into a hyperbolic system with symmetric structure. After overcoming the nonlinear properties of non-local terms, the local well-posedness theory and regularity criterion were established for the initial value problems of such models by using the method of energy estimation.

Key words: non-local effect, fractional Laplacian operators, uniform priori estimation, local well-posedness

CLC Number:

O175.29

HUANG Baoyun, TONG Lining. Local classical solutions of coupled fluid models with non-local effects[J]. Journal of Shanghai University（Natural Science Edition）, 2026, 32(4): 728-740.

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URL: https://www.journal.shu.edu.cn/EN/10.12066/j.issn.1007-2861.2586

https://www.journal.shu.edu.cn/EN/Y2026/V32/I4/728

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Local classical solutions of coupled fluid models with non-local effects

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