Results 251 to 260 of about 2,552,497 (284)

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.
openaire   +2 more sources

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

Delta shock waves for a system of Keyfitz‐Kranzer type

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2018
AbstractThis paper is concerned with a hyperbolic system of conservation laws of Keyfitz‐Kranzer type. We show the existence of a delta shock wave solution using the vanishing viscosity method. The obtained solution satisfies the generalized Rankine‐Hugoniot relation and the entropy condition.
Richard De la cruz, Marcelo Santos
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.
openaire   +2 more sources

Delta shock waves in shallow water flow

Physics Letters A, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kalisch, Henrik, Mitrovic, Darko, Teyekpiti, Vincent   +2 more
openaire   +1 more source

Interactions of Delta Shock Waves for the AW-Rascle Traffic Model With Split Delta Functions

Journal of Applied Analysis and Computation, 2017
This paper is concerned with the interactions of δ-shock waves for the Aw-Rascle traffic model with split delta functions. The solutions are obtained constructively when the initial data are three piecewise constant states. The global structure and large time-asymptotic behaviors of the solutions are analyzed case by case.
Meixiang Huang, Zhiqiang Shao
exaly   +2 more sources

Delta Shock Wave in the Compressible Euler Equations for a Chaplygin Gas

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yicheng Pang
exaly   +3 more sources

Interaction of Delta Shock Waves for a Nonsymmetric Keyfitz–Kranzer System of Conservation Laws

Monatshefte Fur Mathematik, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcelo Santos, Richard de la Cruz, Eduardo Abreu   +2 more
exaly   +3 more sources

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

Interactions of Delta Shock Waves for the Ternary Chromatography Equations

Waves in Random and Complex Media
Lihui Guo
exaly   +2 more sources