A remark on the global existence of weak solutions to the compressible quantum Navier-Stokes equations

DOI10.1016/j.nonrwa.2018.07.009zbMath1414.35152OpenAlexW2883621291MaRDI QIDQ1729159

Tong Tang, Zujin Zhang

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.07.009

zbMATH Keywords

weak solutionsglobal existencequantum Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30)

Related Items (5)

Global existence and the algebraic decay rate of the solution for the quantum Navier–Stokes–Poisson equations in R3 ⋮ Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy ⋮ 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 ⋮ Unnamed Item

Cites Work

• A generalization of the quantum Bohm identity: hyperbolic CFL condition for Euler-Korteweg equations
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• Structure of Korteweg models and stability of diffuse interfaces
• On the Euler-Korteweg system with free boundary condition
• Global existence of finite energy weak solutions of quantum Navier-Stokes equations
• On the motion of incompressible inhomogeneous Euler-Korteweg fluids
• Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
• Global Weak Solutions to the Compressible Quantum Navier--Stokes Equations with Damping
• On the Barotropic Compressible Navier–Stokes Equations
• Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
• Existence of solutions for compressible fluid models of Korteweg type

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