INTERACTIONS OF DELTA SHOCK WAVES FOR THE AW-RASCLE TRAFFIC MODEL WITH SPLIT DELTA FUNCTIONS

Zhiqiang Shao;  ;  Meixiang Huang

doi:10.11948/2017009

INTERACTIONS OF DELTA SHOCK WAVES FOR THE AW-RASCLE TRAFFIC MODEL WITH SPLIT DELTA FUNCTIONS

Journal of Applied Analysis & Computation ◽

10.11948/2017009 ◽

2017 ◽

Vol 7 (1) ◽

pp. 119-133

Author(s):

Zhiqiang Shao ◽

◽

Meixiang Huang

Keyword(s):

Shock Waves ◽

Traffic Model ◽

Delta Shock ◽

Delta Functions ◽

Delta Shock Waves

Download Full-text

Comment on the paper “Interaction of delta shock waves for the Chaplygin Euler equations of compressible fluid flow with split delta functions, Yu Zhang, Yanyan Zhang, Jinhuan Wang Mathematical Methods in the Applied Sciences , 2018; 41 :7678–7697”

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6084 ◽

2020 ◽

Author(s):

Asterios Pantokratoras

Keyword(s):

Applied Sciences ◽

Fluid Flow ◽

Shock Waves ◽

Euler Equations ◽

Compressible Fluid ◽

Mathematical Methods ◽

Delta Shock ◽

Compressible Fluid Flow ◽

Delta Functions ◽

Delta Shock Waves

Download Full-text

Interactions of delta shock waves for the Chaplygin gas equations with split delta functions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.07.082 ◽

2014 ◽

Vol 410 (1) ◽

pp. 190-201 ◽

Cited By ~ 20

Author(s):

Lihui Guo ◽

Ying Zhang ◽

Gan Yin

Keyword(s):

Shock Waves ◽

Chaplygin Gas ◽

Delta Shock ◽

Delta Functions ◽

Delta Shock Waves

Download Full-text

Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3209 ◽

2014 ◽

Vol 38 (11) ◽

pp. 2132-2148 ◽

Cited By ~ 8

Author(s):

Lihui Guo ◽

Ying Zhang ◽

Gan Yin

Keyword(s):

Shock Waves ◽

Euler Equations ◽

Delta Shock ◽

Delta Functions ◽

Delta Shock Waves

Download Full-text

Interactions of delta shock waves for the transport equations with split delta functions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.11.005 ◽

2009 ◽

Vol 351 (2) ◽

pp. 747-755 ◽

Cited By ~ 34

Author(s):

Chun Shen ◽

Meina Sun

Keyword(s):

Shock Waves ◽

Transport Equations ◽

Delta Shock ◽

Delta Functions ◽

Delta Shock Waves

Download Full-text

Interaction of delta shock waves for the Chaplygin Euler equations of compressible fluid flow with split delta functions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5231 ◽

2018 ◽

Vol 41 (17) ◽

pp. 7678-7697 ◽

Cited By ~ 4

Author(s):

Yu Zhang ◽

Yanyan Zhang ◽

Jinhuan Wang

Keyword(s):

Fluid Flow ◽

Shock Waves ◽

Euler Equations ◽

Compressible Fluid ◽

Delta Shock ◽

Compressible Fluid Flow ◽

Delta Functions ◽

Delta Shock Waves

Download Full-text

New developments of delta shock waves and its applications in systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.015 ◽

2012 ◽

Vol 252 (11) ◽

pp. 5951-5993 ◽

Cited By ~ 81

Author(s):

Hanchun Yang ◽

Yanyan Zhang

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

New Developments ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

Download Full-text

Delta shock waves in chromatography equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.04.002 ◽

2011 ◽

Vol 380 (2) ◽

pp. 475-485 ◽

Cited By ~ 33

Author(s):

Hongjun Cheng ◽

Hanchun Yang

Keyword(s):

Shock Waves ◽

Delta Shock ◽

Delta Shock Waves

Download Full-text

Delta Shock Waves in the Shallow Water System

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-017-9594-2 ◽

2017 ◽

Vol 30 (3) ◽

pp. 1187-1198 ◽

Cited By ~ 10

Author(s):

C. O. R. Sarrico ◽

A. Paiva

Keyword(s):

Shock Waves ◽

Shallow Water ◽

Water System ◽

Delta Shock ◽

Shallow Water System ◽

Delta Shock Waves

Download Full-text

Delta shock waves in conservation laws with impulsive moving source: some results obtained by multiplying distributions

Journal of Nonlinear Mathematical Physics ◽

10.1080/14029251.2019.1591718 ◽

2019 ◽

Vol 26 (2) ◽

pp. 214-227 ◽

Cited By ~ 1

Author(s):

C.O.R. Sarrico

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Moving Source ◽

Delta Shock ◽

Delta Shock Waves

Download Full-text

Numerical verification of delta shock waves for pressureless gas dynamics

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.03.042 ◽

2008 ◽

Vol 345 (1) ◽

pp. 243-257 ◽

Cited By ~ 4

Author(s):

Nataša Krejić ◽

Tanja Krunić ◽

Marko Nedeljkov

Keyword(s):

Shock Waves ◽

Gas Dynamics ◽

Numerical Verification ◽

Delta Shock ◽

Delta Shock Waves

Download Full-text