Long-time behavior of solutions for full compressible quantum model in \(\mathbb{R}^3\)

DOI10.1016/j.aml.2018.01.008zbMath1394.35378OpenAlexW2790821857MaRDI QIDQ1748599

Xiaoyu Xi, Binqiang Xie, Bo-ling Guo

Publication date: 11 May 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.01.008

zbMATH Keywords

long-time behavioroptimal time decay ratesfull compressible quantum flows

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) PDEs in connection with quantum mechanics (35Q40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

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Decay rates of the compressible Hall-MHD equations for quantum plasmas, Decay rates of the compressible quantum magnetohydrodynamic model, Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy, Decay rates of the compressible Hall-magnetohydrodynamic model for quantum plasmas, Long-time behavior of solutions for the compressible quantum magnetohydrodynamic model in \({\mathbb {R}}^3\), Optimal decay rate for higher-order derivatives of solution to the 3D compressible quantum magnetohydrodynamic model

Cites Work

• Unnamed Item
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• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• Quantum moment hydrodynamics and the entropy principle
• Asymptotic behaviors of the full quantum hydrodynamic equations
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I