Riemann problem for a two‐dimensional steady pressureless relativistic Euler equations
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DOI: 10.1002/mana.201900313
Abstract: We consider the Riemann problem for a two‐dimensional steady pressureless relativistic Euler equations. The delta shock wave is discovered in the Riemann solutions. It is shown that Dirac delta function develops in the state variable… read more here.
Keywords: steady pressureless; riemann problem; pressureless relativistic; dimensional steady ... See more keywords
Global Solutions of the Perturbed Riemann Problem for the Chromatography Equations
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DOI: 10.1007/s10473-019-0106-9
Abstract: The Riemann problem for the chromatography equations in a conservative form is considered. The global solution is obtained under the assumptions that the initial data are taken to be three piecewise constant states. The wave… read more here.
Keywords: problem chromatography; problem; chromatography equations; riemann problem ... See more keywords
Application of Faber Polynomials to the Approximate Solution of the Riemann Problem
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DOI: 10.1007/s11253-017-1341-7
Abstract: The Faber polynomials are used to obtain approximate solutions of the Riemann problem on a Lyapunov curve. Moreover, an estimate for the error of the approximated solution is presented and proved. read more here.
Keywords: faber polynomials; application faber; solution; riemann problem ... See more keywords
The Perturbed Riemann Problem for a Macroscopic Production Model with Chaplygin Gas
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DOI: 10.1007/s40840-020-01003-9
Abstract: The exact Riemann solutions for a macroscopic production model under the equation of state given by the Chaplygin gas are solved explicitly for all possible Riemann initial data. It is discovered interestingly that a composite… read more here.
Keywords: macroscopic production; chaplygin gas; riemann problem; perturbed riemann ... See more keywords
The Riemann Problem with Phase Transitions for Fluid Flows in a Nozzle
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DOI: 10.1007/s40840-020-01059-7
Abstract: Phase transitions in a model of van der Waals fluid flows in a nozzle with discontinuous cross-sectional area are investigated. The model admits a physically unstable elliptic region which causes phase transitions, and a jump… read more here.
Keywords: fluid flows; flows nozzle; phase transitions; riemann problem ... See more keywords
The Riemann problem for the two-dimensional zero-pressure Euler equations
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DOI: 10.1016/j.jmaa.2018.12.046
Abstract: Abstract The Riemann problem for the two-dimensional zero-pressure Euler equations is considered. The initial data are constant values in each quadrant, which satisfy an assumption that each initial discontinuity projects only one two-dimensional wave. The… read more here.
Keywords: riemann problem; zero pressure; problem two; pressure euler ... See more keywords
When shock is shocked: Riemann problem dynamics at pulse ionization of a shock wave
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DOI: 10.1063/1.4991072
Abstract: We study the dynamics of the gas flow discontinuities after pulse ionization of a half space in front of a flat shock wave moving in a channel. Pulse volumetric electric discharge initiated in the vicinity… read more here.
Keywords: riemann problem; discharge; shock wave; pulse ionization ... See more keywords
Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model
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DOI: 10.1063/1.5108701
Abstract: The so-called Cargo-LeRoux model is a hyperbolic system of conservation laws derived from the Euler equations with a constant gravity. This paper is concerned with such a model for an isentropic Chaplygin gas. The Riemann… read more here.
Keywords: isentropic chaplygin; leroux model; chaplygin gas; riemann problem ... See more keywords
Riemann problem for the 2D scalar conservation law involving linear fluxes with discontinuous coefficients
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DOI: 10.1063/5.0022048
Abstract: This paper is devoted to the four-constant Riemann problem for the two-dimensional (2D) scalar conservation laws involving linear fluxes with discontinuous coefficients. First, under the assumption that each discontinuity ray of initial data outside of… read more here.
Keywords: linear fluxes; scalar conservation; riemann problem; involving linear ... See more keywords
Non-linear Eulerian hydrodynamics of dark energy: Riemann problem and finite volume schemes
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DOI: 10.1088/1475-7516/2023/05/001
Abstract: Upcoming large-scale structure surveys can shed new light on the properties of dark energy. In particular, if dark energy is a dynamical component, it must have spatial perturbations. Their behaviour is regulated by the speed… read more here.
Keywords: hydrodynamics; volume schemes; dark energy; energy ... See more keywords
The Riemann Problem for a Blood Flow Model in Arteries
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DOI: 10.4208/cicp.oa-2018-0220
Abstract: In this paper, the Riemann solutions of a reduced 6×6 blood flow model in medium-sized to large vessels are constructed. The model is nonstrictly hyperbolic and non-conservative in nature, which brings two difficulties of the… read more here.
Keywords: blood flow; riemann problem; model; blood ... See more keywords