Stability of a one-dimensional full viscous quantum hydrodynamic system
From MaRDI portal
Publication:6203684
DOI10.3934/cpaa.2024017arXiv2306.17495OpenAlexW4392665215MaRDI QIDQ6203684
Wenlong Sun, Xiaoying Han, Yu-ming Qin
Publication date: 6 April 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.17495
exponential stabilityuniform estimateentropy dissipation methodlocal-in-time solutionviscous quantum hydrodynamic system
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with quantum mechanics (35Q40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Stability theory for smooth dynamical systems (37C75)
Cites Work
- Unnamed Item
- Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution
- A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach
- The quantum hydrodynamics system in two space dimensions
- On the finite energy weak solutions to a system in quantum fluid dynamics
- Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors
- Exponential decay in time of solutions of the viscous quantum hydrodynamic equations
- Zero Debye length asymptotic of the quantum hydrodynamic model for semiconductors
- Quasi-hydrodynamic semiconductor equations
- Genuine hydrodynamic analysis to the 1-D QHD system: existence, dispersion and stability
- The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors
- Physical and numerical viscosity for quantum hydrodynamics
- Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors
- The relaxation-time limit in the quantum hydrodynamic equations for semiconductors
- An intrinsically hydrodynamic approach to multidimensional QHD systems
- Viscous quantum hydrodynamics and parameter-elliptic systems
- On the Quantum Correction For Thermodynamic Equilibrium
- Quantum Euler-Poisson systems: global existence and exponential decay
- LOCAL EXISTENCE OF SOLUTIONS TO THE TRANSIENT QUANTUM HYDRODYNAMIC EQUATIONS
- THE VISCOUS MODEL OF QUANTUM HYDRODYNAMICS IN SEVERAL DIMENSIONS
- The transient equations of viscous quantum hydrodynamics
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
- The full viscous quantum hydrodynamic system in one dimensional space
- A review of dispersive limits of (non)linear Schrödinger-type equations
- Positive solutions to singular second and third order differential equations for quantum fluids
