Three-dimensional supersonic flows of Euler-Poisson system for potential flow

DOI10.3934/CPAA.2021079zbMath1504.35286arXiv2103.01465OpenAlexW3163457697MaRDI QIDQ2089823

Hyangdong Park, Myoungjean Bae

Publication date: 24 October 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.01465

zbMATH Keywords

supersonic flowthree-dimensionalpotential flowEuler-Poisson systemhyperbolic-elliptic coupled system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Second-order quasilinear hyperbolic equations (35L72) Boundary value problems for mixed-type systems of PDEs (35M32) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

Related Items (2)

Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary ⋮ Nonlinear structural stability and linear dynamic instability of transonic steady-states to hydrodynamic model for semiconductors

Cites Work

• Unnamed Item
• Unnamed Item
• Subsonic flow for the multidimensional Euler-Poisson system
• Transonic shock solutions for a system of Euler-Poisson equations
• Stability of transonic shock solutions for one-dimensional Euler-Poisson equations
• Large time behavior of Euler-Poisson system for semiconductor
• On steady state Euler-Poisson models for semiconductors
• A steady state potential flow model for semiconductors
• Elliptic partial differential equations of second order
• On a one-dimensional steady-state hydrodynamic model for semiconductors
• Structural stability of supersonic solutions to the Euler-Poisson system
• Example of supersonic solutions to a steady state Euler-Poisson system
• Two-dimensional subsonic flows with self-gravitation in bounded domain
• Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
• On a steady state euler-poisson model for semiconduc
• Subsonic Solutions for Steady Euler--Poisson System in Two-Dimensional Nozzles
• A phase analysis of transonic solutions for the hydrodynamic semiconductor model

This page was built for publication: Three-dimensional supersonic flows of Euler-Poisson system for potential flow