Global weak solutions to a three-dimensional quantum kinetic-fluid model

DOI10.1007/s10473-023-0510-zzbMath1524.35466OpenAlexW4384072173MaRDI QIDQ6116166

Yue Li, Fu-Cai Li, Baoyan Sun

Publication date: 17 July 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-023-0510-z

zbMATH Keywords

weak solutionsdensity-dependent viscositykinetic-fluid modelquantum Bohm potential

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Effective velocity in compressible Navier-Stokes equations with third-order derivatives
• Mathematical model and numerical simulation of the liquid fluidization of polydisperse solid particle mixtures
• On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
• On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
• About the barotropic compressible quantum Navier-Stokes equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Three-component analysis of blood sedimentation by the method of characteristics
• Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit
• Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system with nonhomogeneous boundary data
• Global weak solutions for a kinetic-fluid model with local alignment force in a bounded domain
• Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force
• Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
• Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system
• Global Weak Solutions to the Compressible Quantum Navier--Stokes Equations with Damping
• GLOBAL CLASSICAL SOLUTIONS FOR A COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL
• Spray Combustion and Atomization
• Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• Existence of Weak Solutions to Kinetic Flocking Models
• Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity
• Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System
• Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain
• Derivation of viscous correction terms for the isothermal quantum Euler model
• COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS
• GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
• Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
• Chemically reacting mixtures in terms of degenerated parabolic setting
• Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
• A Modeling of Biospray for the Upper Airways
• Strong Solutions to the Compressible Navier--Stokes--Vlasov--Fokker--Planck Equations: Global Existence Near the Equilibrium and Large Time Behavior
• Global Weak Solutions for Compressible Navier-Stokes-Vlasov-Fokker-Planck System
• Global weak solutions to a quantum kinetic-fluid model with large initial data

This page was built for publication: Global weak solutions to a three-dimensional quantum kinetic-fluid model