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Delta Shock Wave for the Suliciu Relaxation System [PDF]

open access: yesAdvances in Mathematical Physics, 2014
We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that model viscoelastic ...
Richard De la cruz   +3 more
doaj   +2 more sources

Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System [PDF]

open access: yesAbstract and Applied Analysis, 2013
The delta shock wave for a simplified chromatography system is obtained in the Riemann solution when . In fact, the result in this paper is the reasonable generalization of the result in Sun (2011) with which is exactly the critical situation for .
Xiumei Li, Chun Shen
doaj   +4 more sources

Dynamics of Laser-Induced Shock Waves in Supercritical CO2

open access: yesFluids, 2022
We studied the dynamics of laser-induced shock waves in supercritical CO2 (scCO2) for different pressures and temperatures under nanosecond optical breakdown.
Nika Asharchuk, Evgenii Mareev
doaj   +1 more source

The devastating 06.02.2023 Turkey – Syria earthquake of extreme intensity XI: Aposteriori estimates and damage prevention [PDF]

open access: yesE3S Web of Conferences, 2023
The recent devastating earthquake of Mw7.8 occurred on February 6, 20223 in the Kahramanmaraş region having extreme intensity (XI) on the modified Mercalli scale (MMS) caused the death of more than 52,800 people in Turkey and Syria, as well as severe ...
Karakozova Anastasia   +3 more
doaj   +1 more source

Four-Quadrant Riemann Problem for a 2×2 System II

open access: yesMathematics, 2021
In previous work, we considered a four-quadrant Riemann problem for a 2×2 hyperbolic system in which delta shock appears at the initial discontinuity without assuming that each jump of the initial data projects exactly one plane elementary wave.
Jinah Hwang   +3 more
doaj   +1 more source

The limit Riemann solutions to nonisentropic Chaplygin Euler equations

open access: yesOpen Mathematics, 2020
We mainly consider the limit behaviors of the Riemann solutions to Chaplygin Euler equations for nonisentropic fluids. The formation of delta shock wave and the appearance of vacuum state are found as parameter ε\varepsilon tends to a certain value ...
Lin Maozhou, Guo Lihui
doaj   +1 more source

Delta shock waves in chromatography equations

open access: yesJournal of Mathematical Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Hongjun, Yang, Hanchun
openaire   +1 more source

Limits of Riemann Solutions to the Relativistic Euler Systems for Chaplygin Gas as Pressure Vanishes

open access: yesAbstract and Applied Analysis, 2013
Vanishing pressure limits of Riemann solutions to relativistic Euler system for Chaplygin gas are identified and analyzed in detail. Unlike the polytropic or barotropic gas case, as the parameter decreases to a critical value, the two-shock solution ...
Gan Yin, Kyungwoo Song
doaj   +1 more source

Limit of Riemann Solutions to the Nonsymmetric System of Keyfitz-Kranzer Type

open access: yesThe Scientific World Journal, 2014
The limit of Riemann solutions to the nonsymmetric system of Keyfitz-Kranzer type with a scaled pressure is considered for both polytropic gas and generalized Chaplygin gas.
Lihui Guo, Gan Yin
doaj   +1 more source

The delta-shock wave for the two variables of a class of Temple system

open access: yesAdvances in Difference Equations, 2018
We investigate the Riemann problem for one-dimensional Temple class, obtain the Riemann solutions containing delta-shock wave, and discover that each variable of this system contains the Dirac delta function in different region. By the interaction of the
Guodong Wang   +3 more
doaj   +1 more source

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