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Article
Preface to the Focused Issue in Honor of Professor Tong Zhang on the Occasion of His 90th Birthday
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Article
The Stability of the Delta Wave to Pressureless Euler Equations with Viscous and Flux Perturbations
This paper is concerned with the pressureless Euler equations with viscous and flux perturbations. The existence of Riemann solutions to the pressureless Euler equations with viscous and flux perturbations is ...
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Article
The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section
The fluid flows in a variable cross-section duct are nonconservative because of the source term. Recently, the Riemann problem and the interactions of the elementary waves for the compressible isentropic gas i...
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Article
Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner
The two-dimensional (2D) pseudo-steady isothermal flow, which is isentropic and irrotational, around a convex corner is studied. The self-similar solutions for the supersonic flow around the convex corner are ...
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Article
The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow
In this paper, the authors consider the expansion problem of a wedge of gas into vacuum for the two-dimensional Euler equations in isothermal flow. By the bootstrap** argument, they prove the global existenc...
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Article
Generalized δ-entropy condition to Riemann solution for Chaplygin gas in traffic flow
The Riemann problem for the Aw-Rascle model in the traffic flow with the Delta initial data for the Chaplygin gas is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relat...
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Article
Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations
The Riemann problems for the Euler system of conservation laws of energy and momentum in special relativity as pressure vanishes are considered. The Riemann solutions for the pressureless relativistic Euler eq...
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Article
The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics*
The non-selfsimilar Riemann problem for two-dimensional zero-pressure flow in gas dynamics with two constant states separated by a convex curve is considered. By means of the generalized Rankine-Hugoniot relat...