Burgers’ Equation in 3D

JP Bouchaud, Markus Rauscher

• Rolling-geometry shear (stretched along x, compressed along y)

• Notice formation of “cell structures”: shocks = cell walls?

• Notice singularity formation on shearing:

no irreversibility until shocks form

• Notice cell walls broaden on “backtracking”
  • elastic, reversible response
  • cusps reform at previous stress maximum

Left: ?2y(x,y)

Right: ?e/?t vs.s

sY

Previous slide

Next slide

Back to first slide

View graphic version