Global stability to steady supersonic flows with mass addition in one-dimensional duct

DOI10.1016/j.jmaa.2023.127128OpenAlexW4321207609MaRDI QIDQ2701291

Jianli Liu, Pu Gao

Publication date: 28 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127128

zbMATH Keywords

global stabilitysupersonic flowcompressible Euler equationssteady solution

Mathematics Subject Classification ID

Euler equations (35Q31) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (1)

Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles

Cites Work

• Unnamed Item
• Unnamed Item
• Local exact boundary controllability for a class of quasilinear hyperbolic systems.
• Cauchy problem for quasilinear hyperbolic systems
• Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle
• Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations
• Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions
• Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts
• Stability of stationary subsonic compressible Euler flows with mass-additions in two-dimensional straight ducts
• Blow-up mechanism of classical solutions to quasilinear hyperbolic systems in the critical case
• Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations
• Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle
• STABILITY OF CYLINDRICAL TRANSONIC SHOCKS FOR THE TWO-DIMENSIONAL STEADY COMPRESSIBLE EULER SYSTEM
• Formation of singularities in one-dimensional nonlinear wave propagation
• Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type
• On Stability of Transonic Shocks for Stationary Rayleigh Flows in Two-dimensional Ducts
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems

This page was built for publication: Global stability to steady supersonic flows with mass addition in one-dimensional duct