Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity
DOI10.1063/1.5127797zbMath1432.76307arXiv1906.03971OpenAlexW3105060540WikidataQ126669622 ScholiaQ126669622MaRDI QIDQ5218749
Xin Zhong, Boqiang Lü, Rong Zhang
Publication date: 5 March 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.03971
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) 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) Statistical mechanics of gases (82D05) Compressible Navier-Stokes equations (76N06)
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Cites Work
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- Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier-Stokes system with vacuum and large initial data
- Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains
- Global Calderón-Zygmund theory for nonlinear parabolic systems
- Effective velocity in compressible Navier-Stokes equations with third-order derivatives
- Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
- The quantum hydrodynamics system in two space dimensions
- Some diffusive capillary models of Korteweg type
- On the finite energy weak solutions to a system in quantum fluid dynamics
- On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
- Gradient estimates for a class of parabolic systems
- On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
- Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
- About the barotropic compressible quantum Navier-Stokes equations
- Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
- Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
- Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
- On viscous shallow water equations (Saint-Venant model) and the quasi-geostrophic limit
- Vacuum states for compressible flow
- Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit
- Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
- Global existence of finite energy weak solutions of quantum Navier-Stokes equations
- 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
- Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
- On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
- On the existence of globally defined weak solutions to the Navier-Stokes equations
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