Vanishing viscosity and Debye-length limit to rarefaction wave with vacuum for the 1D bipolar Navier-Stokes-Poisson equation (Q322083)

scientific article; zbMATH DE number 6639230

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English	Vanishing viscosity and Debye-length limit to rarefaction wave with vacuum for the 1D bipolar Navier-Stokes-Poisson equation	scientific article; zbMATH DE number 6639230

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instance of

scholarly article

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title

Vanishing viscosity and Debye-length limit to rarefaction wave with vacuum for the 1D bipolar Navier-Stokes-Poisson equation (English)

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author

Yeping Li

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published in

ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

14 October 2016

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zbMATH Keywords

perturbed solution

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compressible Euler equations

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uniform convergence

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scaling

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energy estimate

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00033-016-0637-z

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cites work

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Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow

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Local and global existence for the coupled Navier-Stokes-Poisson problem

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A quasineutral type limit for the Navier–Stokes–Poisson system with large data

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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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Viscous limits for piecewise smooth solutions to systems of conservation laws

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Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum

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Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions

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Q3829237

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Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system

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Zero dissipation limit to rarefaction wave with vacuum for one-dimensional compressible Navier-Stokes equations

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Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum

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Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation

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Contact discontinuity with general perturbations for gas motions

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Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem

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Quasi-hydrodynamic semiconductor equations

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The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data

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Rate of convergence from the Navier–Stokes–Poisson system to the incompressible Euler equations

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Vanishing Viscosity Limit to Rarefaction Waves for the Navier--Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids

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Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)

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Global well-posedness of compressible bipolar Navier-Stokes-Poisson equations

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Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system

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Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations

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The initial value problem for the equations of motion of viscous and heat-conductive gases

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Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

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Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

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Asymptotics Toward Rarefaction Waves and Vacuum for 1-d Compressible Navier–Stokes Equations

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Q4314474

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Q4865054

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Global solutions to the one-dimensional compressible Navier--Stokes--Poisson equations with large data

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The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations

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Pointwise estimates of solution for the Navier-Stokes-Poisson equations in multi-dimensions

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Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases

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Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws

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Global well-posedness for the compressible Navier-Stokes-Poisson system in the \(L^p\) framework

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Existence and optimal decay rates of the compressible non-isentropic Navier-Stokes-Poisson models with external forces

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Convergence rate of solutions toward stationary solutions to the bipolar Navier-Stokes-Poisson equations in a half line

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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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Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)

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On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow

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Identifiers

zbMATH Open document ID

1428.76243

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Mathematics Subject Classification ID

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10.1007/S00033-016-0637-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:322083