Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations (Q2082157)

scientific article; zbMATH DE number 7595890

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English	Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations	scientific article; zbMATH DE number 7595890

Statements

instance of

scholarly article

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title

Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations (English)

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author

Qiwei Wu

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published in

ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

4 October 2022

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zbMATH Keywords

bipolar quantum Navier-Stokes-Poisson equations

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large-time behavior

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Cauchy problem

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stationary wave

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energy estimates

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00033-022-01851-4

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cites work

Thermodynamic derivation of the hydrodynamical model for charge transport in semiconductors

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A singular Moser-Trudinger embedding and its applications

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Relaxation limit from the quantum Navier-Stokes equations to the quantum drift-diffusion equation

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Nonlinear Maxwell-Schrödinger system and quantum magneto-hydrodynamics in 3-D

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Derivation of viscous correction terms for the isothermal quantum Euler model

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Stationary waves to the two-fluid non-isentropic Navier-Stokes-Poisson system in a half line: existence, stability and convergence rate

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Asymptotic stability of stationary solutions to the compressible bipolar Navier–Stokes–Poisson equations

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Quantum moment hydrodynamics and the entropy principle

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Q4504205

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Stability of rarefaction waves of the Navier-Stokes-Poisson system

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Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations

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Existence of the solution for the viscous bipolar quantum hydrodynamic model

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Asymptotic stability and semi-classical limit for bipolar quantum hydrodynamic model

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Solutions for Two-Dimensional System for Materials of Korteweg Type

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Global solutions of a high dimensional system for Korteweg materials

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Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier-Stokes-Poisson system

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Quasi-hydrodynamic semiconductor equations

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Q4898286

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Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution

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Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space

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Quasineutral limit for the quantum Navier-Stokes-Poisson equations

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ALGEBRAIC TIME DECAY FOR THE BIPOLAR QUANTUM HYDRODYNAMIC MODEL

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Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force

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Long-time self-similarity of classical solutions to the bipolar quantum hydrodynamic models

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Global existence and large time behavior of solutions for the bipolar quantum hydrodynamic models in the quarter plane

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Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems

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Asymptotic stability of the rarefaction wave for the compressible quantum Navier-Stokes-Poisson equations

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On global existence of weak solutions to a viscous capillary model of plasma

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Stability of Steady States of the Navier--Stokes--Poisson Equations with Non-Flat Doping Profile

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Q3179935

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Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping

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Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system

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Pointwise estimates for bipolar compressible Navier-Stokes-Poisson system in dimension three

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Generalized Huygens' principle for bipolar non-isentropic compressible Navier-Stokes-Poisson system in dimension three

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The decay rate of solution for the bipolar Navier-Stokes-Poisson system

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Existence of global weak solutions for Navier-Stokes-Poisson equations with quantum effect and convergence to incompressible Navier-Stokes equations

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Convergence of the quantum Navier-Stokes-Poisson equations to the incompressible Euler equations for general initial data

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From quantum Euler–Maxwell equations to incompressible Euler equations

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Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system

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Global existence and optimal decay rate of the compressible bipolar Navier-Stokes-Poisson equations with external force

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Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors

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On the bipolar multidimensional quantum Euler--Poisson system: the thermal equilibrium solution and semiclassical limit

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Identifiers

zbMATH Open document ID

1498.35447

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Mathematics Subject Classification ID

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10.1007/S00033-022-01851-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2082157