Results 161 to 170 of about 6,958 (194)

Delta Shock Wave in a Perfect Fluid Model with Zero Pressure

Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2019
Abstract 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.
Yicheng Pang, Liuyang Shao
exaly   +2 more sources

DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES

Journal of Hyperbolic Differential Equations, 2007
We discus the existence of delta shock waves obtained as a limit of two shock waves. For that purpose we perturb a prototype of weakly hyperbolic 2 × 2 system (sometimes called the "generalized pressureless gas dynamics model") by an additional term (called the "generalized vanishing pressure"). The obtained perturbed system is strictly hyperbolic and
Mitrović, Darko, Nedeljkov, Marko
openaire   +5 more sources

Delta Shock Waves in the Shallow Water System

Journal of Dynamics and Differential Equations, 2017
The authors continue studies by \textit{C. O. R. Sarrico} [J. Math. Anal. Appl. 317, No. 2, 496--509 (2006; Zbl 1099.35121)], where gas dynamics phenomena, known as ``infinitely narrow soliton solutions'', discovered by \textit{V. P. Maslov} and \textit{G. A. Omel'yanov} [Russ. Math. Surv. 36, No. 3, 73--149 (1981; Zbl 0494.35080)], \textit{V.
Sarrico, C. O. R., Paiva, A.
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Formation of $$\delta $$-shock waves in isentropic fluids

Zeitschrift für angewandte Mathematik und Physik, 2020
The author considers the Riemann problem for the Euler equations in one spatial dimension for isentropic flow of a compressible gas. The equation of state can be any, the author considers polytropic, pressureless, and Chaplygin gases. Possibility of formation of delta-shocks is shown. The concept of \(\alpha\)-solution is introduced as a distributional
openaire   +1 more source

Oscillating delta wings with attached shock waves

AIAA Journal, 1977
An unsteady flow theory is presented for studying the flowfield in the compression side of an oscillating flat delta wing with attached shock waves. Regular perturbation methods are used to analyze the in-phase and outof-phase flow components for small amplitudes and reduced frequencies. In particular, the out-of-phase flow is found to be "quasiconical,
Liu, D. D., Hui, W. H.
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Delta shock waves in shallow water flow

Physics Letters A, 2017
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Kalisch, Henrik, Mitrovic, Darko, Teyekpiti, Vincent   +2 more
openaire   +1 more source

Shadow Waves: Entropies and Interactions for Delta and Singular Shocks

Archive for Rational Mechanics and Analysis, 2009
The author considers the conservation law \[ \partial_tf(U)+\partial_xg(U) = 0 \] with \(U:\mathbb R^2_+\rightarrow\mathbb R^n\), \(f,g:\mathbb R^n\rightarrow\mathbb R^n\). The focus is on the delta and singular shock solutions of the Riemann problem, their entropy admissibility conditions, and their interaction.
openaire   +3 more sources

Interaction of delta shock waves for a nonsymmetric Keyfitz–Kranzer system of conservation laws

Monatshefte für Mathematik, 2021
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Richard De la cruz, Marcelo Santos, Eduardo Abreu   +2 more
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The multiplication of distributions in the study of delta shock wave for a hyperbolic system of Temple class

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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Weak Asymptotics Method Approach to the Problem of $$\delta$$-Shock Wave Interactions

Mathematical Notes, 2020
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