Year: 2016
Author: Xueke Pu, Boling Guo
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 275–287
Abstract
For quantum fluids governed by the compressible quantum Navier-Stokes equations in $\mathbb{R}^3$ with viscosity and heat conduction, we prove the optimal $L^p − L^q$ decay rates for the classical solutions near constant states. The proof is based on the detailed linearized decay estimates by Fourier analysis of the operators, which is drastically different from the case when quantum effects are absent.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20643
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 3 : pp. 275–287
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: compressible quantum Navier-Stokes equations optimal decay rates energy estimates.