Existence and stability of almost finite energy weak solutions to the quantum Euler-Maxwell system

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of plasmas (82D10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Cites Work

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Global solutions of the Euler-Maxwell two-fluid system in 3D
Smoothing effects for Schrödinger equations with electro-magnetic potentials and applications to the Maxwell-Schrödinger equations
Global smooth ion dynamics in the Euler-Poisson system
On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
The quantum hydrodynamics system in two space dimensions
On the finite energy weak solutions to a system in quantum fluid dynamics
Remarks on proofs of conservation laws for nonlinear Schrödinger equations
Global wellposedness in the energy space for the Maxwell-Schrödinger system
Global well posedness for the Maxwell-Navier-Stokes system in 2D
Formation of singularities in three-dimensional compressible fluids
Global existence and asymptotic behavior of solutions for the Maxwell- Schrödinger equations in three space dimensions
Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\)
Quantentheorie in hydrodynamischer Form.
Global, finite energy, weak solutions for the NLS with rough, time-dependent magnetic potentials
Long term regularity of the one-fluid Euler-Maxwell system in 3D with vorticity
Long-term regularity of the periodic Euler-Poisson system for electrons in 2D
Global finite-energy solutions of the Maxwell-Schrödinger system
Generalized Strichartz inequalities for the wave equation
Bogoliubov theory in the Gross-Pitaevskii limit
Genuine hydrodynamic analysis to the 1-D QHD system: existence, dispersion and stability
A derivation of the magnetohydrodynamic system from Navier-Stokes-Maxwell systems
Well-posedness and local smoothing of solutions of Schrödinger equations
Global existence and uniqueness of solutions to the Maxwell-Schrödinger equations
Local well-posedness for the Maxwell-Schrödinger equation
Nonlinear Maxwell-Schrödinger system and quantum magneto-hydrodynamics in 3-D
An intrinsically hydrodynamic approach to multidimensional QHD systems
Dissipative Structure of the Regularity-Loss Type and Time Asymptotic Decay of Solutions for the Euler--Maxwell System
Global existence for the Euler-Maxwell system
On Superconductivity and Superfluidity
The Cauchy problem for the coupled Maxwell–Schrödinger equations
Commutator estimates and the euler and navier-stokes equations
Endpoint Strichartz estimates
The derivation of conservation laws for nonlinear Schroedinger equations with a power type nonlinearity
Global well-posedness for the non-linear Maxwell-Schrödinger system
Solutions of Navier–Stokes–Maxwell systems in large energy spaces
On the Low Mach Number Limit for Quantum Navier--Stokes Equations
Exact smoothing properties of Schrodinger semigroups
Remarks on the derivation of finite energy weak solutions to the QHD system
Nonlinear partial differential equations with applications
On the low Mach number limit for 2D Navier-Stokes-Korteweg systems

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