Work

Existence, Uniqueness, and Semiclassical Limit for the Nonisentropic Steady‐State Quantum Hydrodynamic Model of Semiconductors

Year: 2025

Type: article

Abstract: ABSTRACT In this paper, a quantum hydrodynamic system for particle density, current density, energy density, and electrostatic potential, coupled with a Poisson equation, is studied in spatial one‐dimensional real line. First, the existence and uniqueness of the stationary solution are proved in an appropriate Sobolev space. Then the semiclassical limit is investigated for the nonisentropic steady‐state quantum hydrodynamic system.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11104

Author: Yunyun Liang

Institution: Central China Normal University

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hubei Province

Award: G7182433466