Steady supersonic flow past an almost straight wedge with large vertex angle.
type: Item
instance of: scholarly article
title: Steady supersonic flow past an almost straight wedge with large vertex angle.
zbMATH Open document ID: 1035.35079
DOI: 10.1016/S0022-0396(03)00037-8
author: Yongqian Zhang
published in: Journal of Differential Equations
publication date: 2003-07-30T00:00:00Z
review text: This paper considers steady, potential supersonic flow past an almost straight wedge with piecewise smooth boundary and large vertex angle. Under the assumptions that the vertex angle is less than an extreme angle determined by the shock polar and that the total variation of the tangent angle along each edge is sufficiently small, a solution is found as the limit of approximate solutions constructed with a modified Glimm scheme.
reviewed by: Michael Sever
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 1957254
zbMATH Keywords: steady potential supersonic flow
zbMATH Keywords: flow past a wedge
zbMATH Keywords: Glimm scheme
MaRDI profile type: Publication
cites work: Global solutions with a single transonic shock wave for quasilinear hyperbolic systems
cites work: Existence of local solution to supersonic flow past a three-dimensional wing
cites work: Asymptotic behaviour of supersonic flow past a convex combined wedge
cites work: Q4399571
cites work: Stability theorem and truncation error analysis for the Glimm scheme and for a front tracking method for flows with strong discontinuities
cites work: Perturbations of bounded variation of a strong shock wave
cites work: Q5801144
cites work: Solutions in the large for nonlinear hyperbolic systems of equations
cites work: Decay of solutions of systems of nonlinear hyperbolic conservation laws
cites work: The existence of viscous profiles and admissibility for transonic shocks
cites work: Hyperbolic systems of conservation laws II
cites work: Q3937098
cites work: Q3762928
cites work: Nonlinear stability of a self-similar 3-dimensional gas flow
cites work: The deterministic version of the Glimm scheme
cites work: Hyperbolic and Viscous Conservation Laws
cites work: The stability of multidimensional shock fronts
cites work: The existence of multidimensional shock fronts
cites work: On a weak solution for a transonic flow problem
cites work: Glimm's method and initial- boundary value problem
cites work: Supersonic flow past a nearly straight wedge
cites work: Sufficient conditions for local existence via Glimm's scheme for large BV data
cites work: Q4746129
cites work: THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
cites work: Global Existence of Steady Supersonic Potential Flow Past a Curved Wedge with a Piecewise Smooth Boundary
full work available at URL: s0022-0396(03)00037-8
OpenAlex ID: W2121846460
description: scientific article; zbMATH DE number 1957254