scholarly journals Generalized Plane Delta-Shock Waves for n-Dimensional Zero-Pressure Gas Dynamics

2001 ◽  
Vol 260 (1) ◽  
pp. 18-35 ◽  
Author(s):  
Hanchun Yang
Keyword(s):  
Shock Waves ◽  
Gas Dynamics ◽  
Delta Shock ◽  
Delta Shock Waves

scholarly journals Interactions of Delta Shock Waves for Zero-Pressure Gas Dynamics with Energy Conservation Law

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Wei Cai ◽  
Yanyan Zhang
Keyword(s):  
Theoretical Analysis ◽  
Shock Waves ◽  
Initial Data ◽  
Gas Dynamics ◽  
Riemann Solutions ◽  
Piecewise Constant ◽  
Delta Shock ◽  
Vacuum States ◽  
Delta Shock Waves ◽  
Energy Conservation Law

We study the interactions of delta shock waves and vacuum states for the system of conservation laws of mass, momentum, and energy in zero-pressure gas dynamics. The Riemann problems with initial data of three piecewise constant states are solved case by case, and four different configurations of Riemann solutions are constructed. Furthermore, the numerical simulations completely coinciding with theoretical analysis are shown.

scholarly journals Delta shock waves in chromatography equations

2011 ◽  
Vol 380 (2) ◽  
pp. 475-485 ◽  
Author(s):  
Hongjun Cheng ◽  
Hanchun Yang
Keyword(s):  
Shock Waves ◽  
Delta Shock ◽  
Delta Shock Waves
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