Global existence of weak solution for quantum Navier-Stokes-Poisson equations

DOI10.1063/1.4996015zbMath1370.76201OpenAlexW2739983516MaRDI QIDQ5354875

Yong Li, Jianwei Yang

Publication date: 5 September 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4996015

zbMATH Keywords

Navier-Stokes equationsquantum fluidscompressible flowPoisson equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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The Hamilton-Jacobi analysis of powers of singular Lagrangians: a connection between the modified Schrödinger and the Navier-Stokes equations ⋮ Global existence and the algebraic decay rate of the solution for the quantum Navier–Stokes–Poisson equations in R3 ⋮ Strong solutions for the compressible barotropic fluid model of Korteweg type in the bounded domain ⋮ The existence of global solutions for the full Navier-Stokes-Korteweg system of van der Waals gas ⋮ The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors

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