zbMath0969.35001MaRDI QIDQ1840962
Ansgar Jüngel
Publication date: 22 February 2001
Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)
Global existence of smooth solutions to a full Euler–Poisson system in one space dimension,
Global existence and the algebraic decay rate of the solution for the quantum Navier–Stokes–Poisson equations in R3,
The full viscous quantum hydrodynamic system in one dimensional space,
Quantum Semiconductor Models,
Charge Transport in an Incompressible Fluid: New Devices in Computational Electronics,
Optimal decay rate of the bipolar Euler–Poisson system with damping in dimension three,
Optimal Control for Semiconductor Diode Design based on the MEP Energy-Transport Model,
Weak solutions of the isothermal bipolar hydrodynamic model for semiconductors with large data,
Dissipative Schrödinger-type operators as a model for generation and recombination,
Global Quasi-Neutral Limit for a Two-Fluid Euler–Poisson System in Several Space Dimensions,
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data,
Time‐periodic flows of electrons and holes in semiconductor devices,
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Modeling thermoelectric effects in piezoelectric semiconductors: new fully coupled mechanisms for mechanically manipulated heat flux and refrigeration,
Existence and uniqueness of steady states to semiconductor bipolar full quantum hydrodynamic model,
Stability of the planar rarefaction wave to three-dimensional full compressible Navier–Stokes–Poisson system,
Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (I) Subsonic Doping Profile,
Quantum BGK Model near a Global Fermi--Dirac Distribution,
Global convergence of a two-fluid non-isentropic Euler–Poisson system in one space dimension,
Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary,
Asymptotic stability of a nonlinear wave for an outflow problem of the bipolar Navier-Stokes-Poisson system under large initial perturbation,
A Wasserstein gradient flow approach to Poisson−Nernst−Planck equations,
Subsonic steady-states for bipolar hydrodynamic model for semiconductors,
A splitting scheme for the quantum Liouville-BGK equation,
Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile,
Stability of a one-dimensional full viscous quantum hydrodynamic system,
Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion,
Numerical Schemes for Semiconductors Energy-Transport Models,
A hydrodynamical model for holes in silicon semiconductors,
A derivation of the isothermal quantum hydrodynamic equations using entropy minimization,
Rigorous derivation of a Boltzmann relation from isothermal Euler-Poisson systems,
Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors,
Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors,
Global existence and asymptotic behavior for a multidimensional nonisentropic hydrodynamic semiconductor model with the heat source,
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors,
Numerical study of time-splitting and space-time adaptive wavelet scheme for Schrödinger equations,
Convergent semidiscretization of a nonlinear fourth order parabolic system,
The transient equations of viscous quantum hydrodynamics,
Global existence and optimal decay rate of the compressible bipolar Navier-Stokes-Poisson equations with external force,
Asymptotic behavior of global smooth solutions for full compressible Navier-Stokes-Maxwell equations,
The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential,
Group analysis of the drift-diffusion model for quantum semiconductors,
Stability of the stationary solution of the Cauchy problem to a semiconductor full hydrodynamic model with recombination-generation rate,
On a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gas,
Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system,
Global existence and asymptotic behavior of the solutions to the 3D bipolar non-isentropic Euler–Poisson equation,
Stability on large non-constant steady states of semiconductor equations,
From a multidimensional quantum hydrodynamic model to the classical drift-diffusion equation,
Uniform estimates and uniqueness of stationary solutions to the drift–diffusion model for semiconductors,
Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics,
Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors,
Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary,
Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system,
Asymptotic decay of bipolar isentropic/non-isentropic compressible Navier-Stokes-Maxwell systems,
Asymptotic profile in a multi-dimensional stationary nonisentropic hydrodynamic semiconductor model,
Stability of non-constant equilibrium solutions for bipolar full compressible Navier-Stokes-Maxwell systems,
Global quasi-neutral limit for a two-fluid Euler-Poisson system in one space dimension,
Diffusion relaxation limit of a bipolar hydrodynamic model for semiconductors,
Vanishing viscosity and Debye-length limit to rarefaction wave with vacuum for the 1D bipolar Navier-Stokes-Poisson equation,
Pointwise estimates of solutions for the multi-dimensional bipolar Euler-Poisson system,
The global combined quasi-neutral and zero-electron-mass limit of non-isentropic Euler-Poisson systems,
Asymptotic profile in a one-dimensional steady-state nonisentropic hydrodynamic model for semiconductors,
Oscillating solutions of a nonlinear fourth order ordinary differential equation,
Large time behavior of solutions to a bipolar hydrodynamic model with big data and vacuum,
Stationary solutions for a multi-dimensional nonisentropic hydrodynamic model for semiconductors,
Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles,
Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit,
Global existence and asymptotic behavior of smooth solutions to a bipolar Euler-Poisson equation in a bound domain,
An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes,
2D numerical simulation of the MEP energy-transport model with a finite difference scheme,
Global and exploding solutions in a model of self-gravitating systems.,
Study on a cross diffusion parabolic system,
The asymptotic behavior and the quasineutral limit for the bipolar Euler-Poisson system with boundary effects and a vacuum,
A splitting scheme based on the space-time CE/SE method for solving multi-dimensional hydrodynamical models of semiconductor devices,
Global existence and asymptotic behavior of solutions to the nonisentropic bipolar hydrodynamic models,
Vanishing electron mass limit in the bipolar Euler-Poisson system,
Long-time self-similarity of classical solutions to the bipolar quantum hydrodynamic models,
Relaxation-time limit of the multidimensional bipolar hydrodynamic model in Besov space,
Existence and optimal decay rates of the compressible non-isentropic Navier-Stokes-Poisson models with external forces,
Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems,
The zero-electron-mass limit for a stationary nonisentropic hydrodynamic semiconductor model,
Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\),
Global existence and large time behavior of solutions to the bipolar nonisentropic Euler-Poisson equations,
Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with ohmic contact boundary in hollow ball,
Exponential decay in time of solutions of the viscous quantum hydrodynamic equations,
Pointwise estimates and \(L^p\) convergence rates to diffusion waves for a one-dimensional bipolar hydrodynamic model,
Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors,
On the existence of solutions for a drift-diffusion system arising in corrosion modeling,
Stability and \( L^{p}\) convergence rates of planar diffusion waves for three-dimensional bipolar Euler-Poisson systems,
Mathematical and numerical study of a corrosion model,
Relaxation limit of the one-dimensional bipolar Euler-Poisson system in the bound domain,
The semiclassical limit in the quantum drift-diffusion equations with isentropic pressure,
Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors,
A constrained optimization problem in quantum statistical physics,
Second-order approach to optimal semiconductor design,
Existence and uniqueness for a two-temperature energy-transport model for semiconductors,
Stability of periodic steady-state solutions to a non-isentropic Euler-Poisson system,
Stability of non-constant equilibrium solutions for the full compressible Navier-Stokes-Maxwell system,
Existence and semiclassical limit for the quantum drift-diffusion model,
Diffusion limit of kinetic equations for multiple species charged particles,
Convergence of the nonisentropic Euler-Poisson equations to incompressible type Euler equations,
A hydrodynamical model for holes in silicon semiconductors: the case of non-parabolic warped bands,
Quasineutral limit of bipolar quantum hydrodynamic model for semiconductors,
Diffusive limit of the two-band \(k\cdot p\) model for semiconductors,
Relaxation limit and initial layer analysis of a bipolar hydrodynamic model for semiconductors,
Exact invariant solutions for a class of energy-transport models of semiconductors in the two dimensional stationary case,
Quasi-neutral limit for a viscous capillary model of plasma.,
Stability of planar diffusion wave for the three dimensional full bipolar Euler-Poisson system,
Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors,
Numerical approximation of a quantum drift-diffusion model,
Simulation of visible and ultra-violet group-III nitride light emitting diodes,
Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations,
Solutions to integro-differential systems arising in hydrodynamic models for charged transport in semiconductors,
Relaxation-time limit in the multi-dimensional bipolar nonisentropic Euler-Poisson systems,
Numerical approximation of the viscous quantum hydrodynamic model for semiconductors,
Quantum-corrected drift-diffusion models for transport in semiconductor devices,
Quantum energy-transport and drift-diffusion models,
Asymptotic behavior of strong solutions of a simplified energy-transport model with general conductivity,
Diffusive corrections to asymptotics of a strong-field quantum transport equation,
The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors,
Relaxation limit and initial layer to hydrodynamic models for semiconductors,
The existence and stability of smooth solutions for multidimensional isentropic bipolar hydrodynamic model of semiconductors,
Radial solutions of hydrodynamic model of semiconductors with sonic boundary,
Convergence of a non-isentropic Euler-Poisson system for all time,
Relaxation limit in bipolar semiconductor hydrodynamic model with non-constant doping profile,
Large time behaviors of solutions to the unipolar hydrodynamic model of semiconductors with physical boundary effect,
Analysis of numerical schemes for semiconductor energy-transport models,
Quantum-corrected drift-diffusion models: Solution fixed point map and finite element approximation,
Vacuum solution and quasineutral limit of semiconductor drift-diffusion equation,
Asymptotic stability of a stationary solution to a thermal hydrodynamic model for semiconductors,
Decay estimates of solutions to the bipolar compressible Euler-Poisson system in \(\mathbb{R}^3 \),
Analysis of semi-discretized differential algebraic equation from coupled circuit device simulation,
Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors,
Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors,
Asymptotic stability of a stationary solution for the bipolar full Euler-Poisson equation in a bounded domain,
Global solutions for the compressible quantum hydrodynamic model in a bounded domain,
Numerical analysis of DDFV schemes for semiconductors energy-transport models,
Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space,
A note on asymptotic behavior of solutions for the one-dimensional bipolar Euler-Poisson system,
The semiclassical limit in the quantum drift-diffusion model,
A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes,
Quantum hydrodynamics with trajectories: the nonlinear conservation form mixed/discontinuous Galerkin method with applications in chemistry,
Non-uniqueness of weak solutions of the quantum-hydrodynamic system,
Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile,
Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations,
Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system,
A solution to the simplified multi-dimensional energy-transport model with a general conductivity for semiconductors,
Nonlinear structural stability and linear dynamic instability of transonic steady-states to hydrodynamic model for semiconductors,
A relaxation scheme for the hydrodynamic equations for semiconductors,
Large time behavior of solutions to multi-dimensional bipolar hydrodynamic model of semiconductors with vacuum,
Large-time behavior of the full compressible Euler-Poisson system without the temperature damping,
Exponential convergence to equilibrium in a Poisson-Nernst-Planck-type system with nonlinear diffusion