Global weak solutions of compressible Navier-Stokes-Landau-Lifshitz-Maxwell equations for quantum fluids in dimension three

DOI10.1007/s10473-023-0102-yOpenAlexW4306681428MaRDI QIDQ2088142

Quan-sen Jiu, Lin Ma

Publication date: 21 October 2022

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

Full work available at URL: https://doi.org/10.1007/s10473-023-0102-y

zbMATH Keywords

weak solutionsglobal existencequantum fluidcompressible Navier-Stokes-Landau-Lifshitz-Maxwell equations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Weak solutions to PDEs (35D30) Maxwell equations (35Q61) Initial value problems for mixed-type systems of PDEs (35M31)

Related Items

Blow up criteria for three-dimensional incompressible Navier-Stokes-Landau-Lifshitz system in the whole space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on weak solutions to the barotropic compressible quantum Navier-Stokes equations
• Some diffusive capillary models of Korteweg type
• 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 \(L^ p(0,T;B)\)
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• Existence and uniqueness of the weak solution to the incompressible Navier-Stokes-Landau-Lifshitz model in 2-dimension
• Partial regularity for the Landau-Lifshitz system
• Quantum dynamics with trajectories. Introduction to quantum hydrodynamics.
• Global weak solutions to the magnetohydrodynamic and Vlasov equations
• On the Barotropic Compressible Navier–Stokes Equations
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
• Analysis of the viscous quantum hydrodynamic equations for semiconductors
• Derivation of viscous correction terms for the isothermal quantum Euler model
• Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
• On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
• On the existence of globally defined weak solutions to the Navier-Stokes equations