Classical solutions for the pressure-gradient equations in non-smooth and non-convex domains

DOI10.1016/j.jmaa.2004.01.016zbMath1052.35047OpenAlexW2061051001MaRDI QIDQ1827108

Eun Heui Kim, Kyungwoo Song

Publication date: 6 August 2004

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.2004.01.016

zbMATH Keywords

subsonic solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70)

Related Items (13)

An Interaction of a Rarefaction Wave and a Transonic Shock for the Self-Similar Two-Dimensional Nonlinear Wave System ⋮ Subsonic solutions for compressible transonic potential flows ⋮ Subsonic solutions to compressible transonic potential problems for isothermal self-similar flows and steady flows ⋮ A complete global solution to the pressure gradient equation ⋮ Two-dimensional regular shock reflection for the pressure gradient system of conservation laws ⋮ A Variational Inequality Formulation for Transonic Compressible Steady Potential Flows: Radially Symmetric Transonic Shock ⋮ Existence and stability of perturbed transonic shocks for compressible steady potential flows ⋮ Singular Gierer-Meinhardt systems of elliptic boundary value problems ⋮ A global subsonic solution to an interacting transonic shock for the self-similar nonlinear wave equation ⋮ Free boundary and mixed boundary value problems for quasilinear elliptic equations: tangential oblique derivative and degenerate Dirichlet boundary problems ⋮ On a regularity result for the transonic pressure-gradient system in gas dynamics ⋮ Two-dimensional Riemann problems for the compressible Euler system ⋮ The regularity of sonic curves for the two-dimensional Riemann problems of the nonlinear wave system of Chaplygin gas

Cites Work

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• On two-dimensional Riemann problem for pressure-gradient equations of the Euler system
• Systems of conservation laws. Two-dimensional Riemann problems
• A class of quasilinear degenerate elliptic problems.
• Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
• A Singular Quasilinear Anisotropic Elliptic Boundary Value Problem. II
• Existence of solutions to the transonic pressure gradient equations of the compressible euler equations in elliptic Regions
• Mixed hyperbolic-elliptic systems in self-similar flows
• The Pressure-Gradient System on Non-smooth Domains

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