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arXiv · 2101.09669

The $L_p$-$L_q$ decay estimate for the multidimensional compressible flow with free surface in the exterior domain

Yoshihiro Shibata·Xin Zhang
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Abstract

The aim of this paper is to develop the general $L_p$ theory for the barotropic compressible Navier-Stokes equations with the free boundary condition in the exterior domain in $\mathbb{R}^N$ ($N\geq 3$). By the spectral analysis, we obtain the classical $L_p$-$L_q$ decay estimate for the linearized model problem (with variable coefficients) in view of the partial Lagrangian transformation.

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Yoshihiro Shibata, Xin Zhang. 2021-01-24. The $L_p$-$L_q$ decay estimate for the multidimensional compressible flow with free surface in the exterior domain. https://arxiv.org/abs/2101.09669

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