Small-data global existence of solutions for the Pitaevskii model of superfluidity

Cites Work

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Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities
Global well-posedness and scattering for the defocusing, \(L^2\)-critical, nonlinear Schrödinger equation when \(d=2\)
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
Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
A topological defect model of superfluid vortices
Global solutions of a high dimensional system for Korteweg materials
Global regularity of the 2D HVBK equations
On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term
Exponential decay for 2D reduced gravity two-and-a-half layer model with quantum potential and drag force
Local existence of solutions to a Navier-Stokes-nonlinear-Schrödinger model of superfluidity
A blow-up criterion of strong solutions to the quantum hydrodynamic model
A new blow-up criterion of the strong solution to the quantum hydrodynamic model
Global existence of finite energy weak solutions of quantum Navier-Stokes equations
The inviscid limit for density-dependent incompressible fluids
Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
Global existence of weak solutions to the Navier-Stokes-Korteweg equations
Vorticity and Incompressible Flow
Global Weak Solutions to the Compressible Quantum Navier--Stokes Equations with Damping
Modeling quantum fluid dynamics at nonzero temperatures
Introduction to quantum turbulence
Experimental, numerical, and analytical velocity spectra in turbulent quantum fluid
Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density
Madelung, Gross–Pitaevskii and Korteweg
The Three-Dimensional Navier–Stokes Equations
Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems
Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
On the Gross–Pitaevskii equation for trapped dipolar quantum gases
Solutions for Two-Dimensional System for Materials of Korteweg Type
Density-dependent incompressible viscous fluids in critical spaces
Quantum Euler-Poisson systems: global existence and exponential decay
Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
LOCAL EXISTENCE OF SOLUTIONS TO THE TRANSIENT QUANTUM HYDRODYNAMIC EQUATIONS
Global dissipative solutions of the defocusing isothermal Euler–Langevin–Korteweg equations
Uniqueness in a Navier–Stokes-nonlinear-Schrödinger model of superfluidity*
Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
Quantized vortex dynamics and superfluid turbulence
Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows

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