Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction
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Publication:891643
DOI10.3934/krm.2016.9.165zbMath1330.35339arXiv1504.05304OpenAlexW2246100683MaRDI QIDQ891643
Publication date: 17 November 2015
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.05304
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hypersonic flows (76K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items (18)
Decay rates of the magnetohydrodynamic model for quantum plasmas ⋮ Decay rates of the compressible Hall-MHD equations for quantum plasmas ⋮ Asymptotic behaviors of the full quantum hydrodynamic equations ⋮ Decay rates of the compressible quantum magnetohydrodynamic model ⋮ Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy ⋮ Global existence of smooth solutions for the diffusion approximation model of general gas in radiation hydrodynamics ⋮ Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit ⋮ Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\). ⋮ Stability of the phase separation state for compressible Navier-Stokes/Allen-Cahn system ⋮ Decay rates of the compressible Hall-magnetohydrodynamic model for quantum plasmas ⋮ Long-time behavior of solutions for full compressible quantum model in \(\mathbb{R}^3\) ⋮ Vanishing capillarity limit of the non-conservative compressible two-fluid model ⋮ Long-time behavior of solutions for the compressible quantum magnetohydrodynamic model in \({\mathbb {R}}^3\) ⋮ The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors ⋮ Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force ⋮ Quasineutral limit for the quantum Navier-Stokes-Poisson equations ⋮ Unnamed Item ⋮ Global solutions for the compressible quantum hydrodynamic model in a bounded domain
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