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math-ph2025
Conformally symplectic Chaplygin reduction in rubber rolling of surfaces of revolution over the plane
Jair Koiller
Rubber rolling (no-slip and no-twist) of a convex body on the plane under the influence of gravity is a SE(2) Chaplygin system, that reduces to the sphere of Poisson vectors. I com…
math-ph2025
Vortices for lake equations (review with questions and speculations)
Jair Koiller
The `lake equation' on a planar domain D with bathymetry b(x,y) is given by $ \partial_t u + (u \cdot {\rm grad}) u= -{\rm grad}\, p \,, \,\,{\rm div} (b u) = 0 \,,\, \text{with}\,…