Rayleigh-Taylor instability for incompressible viscous quantum flows
DOI10.1016/j.jmaa.2023.127636zbMath1526.76022OpenAlexW4385407979MaRDI QIDQ6058825
Publication date: 1 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127636
variational methoda priori estimateHadamard senselinear/nonlinear stability analysiscritical capillar numberthree-dimensional incompressible Navier-Stokes quantum equations
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30) Variational methods applied to problems in fluid mechanics (76M30) Interfacial stability and instability in hydrodynamic stability (76E17) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Cites Work
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- The compressible viscous surface-internal wave problem: nonlinear Rayleigh-Taylor instability
- On the Rayleigh-Taylor instability for the compressible non-isentropic inviscid fluids with a free interface
- On the Rayleigh-Taylor instability for two uniform viscous incompressible flows
- On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids
- Rayleigh-CTaylor instability for compressible rotating flows
- Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows
- On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics
- On the dynamical Rayleigh-Taylor instability
- Nonlinear thermal instability in compressible viscous flows without heat conductivity
- On the nonlinear stability of the rotating Bénard problem via the Lyapunov direct method
- Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids
- On inhibition of the Rayleigh-Taylor instability by a horizontal magnetic field in ideal MHD fluids with velocity damping
- Rayleigh-Taylor instability for viscous incompressible capillary fluids
- On the Rayleigh-Taylor instability in compressible viscoelastic fluids under \(L^1\)-norm
- Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system
- Nonlinear thermal instability in the magnetohydrodynamics problem without heat conductivity
- On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models
- Nonlinear Rayleigh-Taylor instability for the two-phase Euler equations with surface tension
- The viscous surface-internal wave problem: global well-posedness and decay
- Quantum dynamics with trajectories. Introduction to quantum hydrodynamics.
- On effects of viscosity and magnetic fields on the largest growth rate of linear Rayleigh–Taylor instability
- Critical magnetic number in the magnetohydrodynamic Rayleigh-Taylor instability
- Compressible, inviscid Rayleigh-Taylor instability
- Linear Rayleigh–Taylor Instability for Viscous, Compressible Fluids
- On the Rayleigh–Taylor Instability for Incompressible, Inviscid Magnetohydrodynamic Flows
- Instability of the abstract Rayleigh–Taylor problem and applications
- On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem
- Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids
- Hydrodynamic Stability
- The Viscous Surface-Internal Wave Problem: Nonlinear Rayleigh–Taylor Instability
- On the Low Mach Number Limit for Quantum Navier--Stokes Equations
- On the Rayleigh–Taylor Instability for the Incompressible Viscous Magnetohydrodynamic Equations
- The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
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