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Delta Shock Wave in a Perfect Fluid Model With Zero Pressure
Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2019Abstract The Riemann problem for a perfect fluid model with zero pressure is considered, where the external force is a given continuous function of time. All of exact solutions are given. In particular, a vacuum occurs in the solutions, although initial data stay far away from the vacuum.
Liuyang Shao, Yicheng Pang
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International Journal of Mathematics, 2021
The Riemann problem for a hyperbolic system of conservation laws belonging to Temple class is considered within frame of [Formula: see text]-solutions based on the concept of solutions defined in the setting of a distributional product. We obtain all the possible discontinuous solutions within a convenient space of distributions that contains Dirac ...
Chun Shen, Meina Sun
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The Riemann problem for a hyperbolic system of conservation laws belonging to Temple class is considered within frame of [Formula: see text]-solutions based on the concept of solutions defined in the setting of a distributional product. We obtain all the possible discontinuous solutions within a convenient space of distributions that contains Dirac ...
Chun Shen, Meina Sun
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Weak Asymptotics Method Approach to the Problem of $$\delta$$-Shock Wave Interactions
Mathematical Notes, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonequilibrium flow over delta wings with detached shock waves
AIAA Journal, 1980An analysis is made of the effect of streamwise density changes, due to chemical reactions, on the flow in the shock layer of a medium- to low-aspect-ratio delta wing at angles of incidence such that the shock wave is detached from the leading edges. It is shown that the flow retains the essentially conical character that is associated with the absence
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Mathematical Methods in the Applied Sciences, 2014
Summary: In this article, we are concerned with the interactions of delta shock waves with contact discontinuities for the relativistic Euler equations for Chaplygin gas by using split delta functions method. The solutions are obtained constructively and globally when the initial data consists of three piecewise constant states.
Lihui Guo, Ying Zhang, Gan Yin
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Summary: In this article, we are concerned with the interactions of delta shock waves with contact discontinuities for the relativistic Euler equations for Chaplygin gas by using split delta functions method. The solutions are obtained constructively and globally when the initial data consists of three piecewise constant states.
Lihui Guo, Ying Zhang, Gan Yin
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Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hypersonic Flow with Attached Shock Waves over Delta Wings
Aeronautical Quarterly, 1970SummaryHypersonic conical flows over delta wings are treated in the thin-shock-layer approximation due to Messiter. The equations are hyperbolic throughout, even in regions where the full equations are elliptic, and have not hitherto been solved for flows with attached shock waves.
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Comment on “Delta Wings of Shapes Amenable to Exact Shock-Wave Theory“
The Journal of the Royal Aeronautical Society, 1963Finite bodies supporting two-dimensional under surface flows behind “contained” plane shock waves of the type discussed by Professor Nonweiler in a recent paper are currently receiving attention from both theoretical and experimental workers.
A. C. Southgate, J. R. Pedersen
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Interactions of delta shock waves in a pressureless hydrodynamic model
Applicable Analysis, 2022Yixuan Wang, Meina Sun
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The Pressure on Flat and Anhedral Delta Wings with Attached Shock Waves
Aeronautical Quarterly, 1972SummaryAn expression is derived which relates the pressure on a wing in a supersonic free stream to the pressure on a thin wing with the same surface shape. The expression is used to find the pressure distribution for caret wings and flat delta wings with attached flow at their leading edges.
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