A sixth-order parabolic system in semiconductors

DOI10.1007/s11401-011-0632-9zbMath1221.35188OpenAlexW2063841341MaRDI QIDQ545409

Publication date: 22 June 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0632-9

zbMATH Keywords

periodic boundary conditions one space dimension second-order elliptic equation elliptic-parabolic system quantum-corrected macroscopic model sixth-order parabolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Nonlinear elliptic equations (35J60) PDEs in connection with quantum mechanics (35Q40)

Cites Work

Unnamed Item
The isentropic quantum drift-diffusion model in two or three space dimensions
Existence of weak solution and semiclassical limit for quantum drift-diffusion model
A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities
The semiclassical limit in the quantum drift-diffusion equations with isentropic pressure
Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
Compact sets in the space \(L^ p(0,T;B)\)
On the stationary quantum drift-diffusion model
Exponential time decay of solutions to a nonlinear fourth-order parabolic equation
Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
Quantum energy-transport and drift-diffusion models
Nonlinear problems in quantum semiconductor modeling.
Initial time layer problem for quantum drift-diffusion model
Large-time behavior of solutions of quantum hydrodynamic model for semiconductors
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors
Global Nonnegative Solutions of a Nonlinear Fourth-Order Parabolic Equation for Quantum Systems
A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System
An algorithmic construction of entropies in higher-order nonlinear PDEs
The Derrida–Lebowitz–Speer–Spohn Equation: Existence, NonUniqueness, and Decay Rates of the Solutions
A Sixth-Order Nonlinear Parabolic Equation for Quantum Systems
Existence and positivity of solutions of a fourth‐order nonlinear PDE describing interface fluctuations
Convergent semidiscretization of a nonlinear fourth order parabolic system
Quantum Euler-Poisson systems: global existence and exponential decay
A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL
Long-time behavior for a nonlinear fourth-order parabolic equation
A Nonlinear Fourth‐order Parabolic Equation with Nonhomogeneous Boundary Conditions

This page was built for publication: A sixth-order parabolic system in semiconductors