球对称非等熵可压缩 Navier-Stokes 方程的自由边界问题——献给邓引斌教授 70 寿辰

Abstract

Abstract:

Research on the global well-posedness for the non-isentropic compressible Navier-Stokes equations with large initial data, where the transport coefficients depend on temperature, has primarily focused on the one-dimensional case, while results in higher dimensions remain relatively scarce. This paper studies a free boundary problem for the three-dimensional spherically symmetric non-isentropic compressible Navier-Stokes equations, assuming constant viscosity and heat conductivity depending on both temperature and density. Under the condition that the initial data belong to the $H^1$ space, we establish the existence and uniqueness of global strong solution.

Key words: spherically symmetric Navier-Stokes equations, free boundary problem, well-posedness

CLC Number:

O175.2

Wenchao Dong, Zhenhua Guo, Zhenjia Li. Free Boundary Problem for the Spherically Symmetric Non-Isentropic Compressible Navier-Stokes Equations[J].Acta mathematica scientia,Series A, 2026, 46(4): 1374-1392.

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References 38

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Free Boundary Problem for the Spherically Symmetric Non-Isentropic Compressible Navier-Stokes Equations

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