Burgers’ equation and the sticky particles model

2012 ◽  
Vol 53 (6) ◽  
pp. 063709 ◽  
Author(s):  
Octave Moutsinga
Keyword(s):  
Burgers Equation ◽  
Sticky Particles

scholarly journals Systems of Sticky Particles Governed by Burgers' Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Octave Moutsinga
Keyword(s):  
Lebesgue Measure ◽  
Entropy Solution ◽  
Burgers Equation ◽  
Velocity Function ◽  
Mass Distributions ◽  
Inviscid Burgers Equation ◽  
Sticky Particles

We show the existence of two sticky particles models with the same velocity function ut(x) which is the entropy solution of the inviscid Burgers' equation. One of them is governed by the set of discontinuity points of u0. Thus, the trajectories t↦Xt coincide; however one has different mass distributions ∂xut=du0∘Xt-1 and λ∘Xt-1. Here, λ denotes the Lebesgue measure.

HIGHER ORDER BURGERS EQUATION

1986 ◽  
Vol 6 (3) ◽  
pp. 353-360 ◽  
Author(s):  
Mingliang Wang
Keyword(s):  
Burgers Equation ◽  
Higher Order

New variable separation solutions to the (2 + 1)-dimensional Burgers equation

2016 ◽  
Vol 273 ◽  
pp. 1271-1275 ◽  
Author(s):  
Lijuan Yang ◽  
Xianyun Du ◽  
Qiongfen Yang
Keyword(s):  
Burgers Equation ◽  
Variable Separation
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