A remark on the global existence of weak solutions to the compressible quantum Navier-Stokes equations
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Publication:1729159
DOI10.1016/j.nonrwa.2018.07.009zbMath1414.35152OpenAlexW2883621291MaRDI QIDQ1729159
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
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
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- 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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