21 citations · 42 across the 3 of their papers we have counts for
3 papers
math-ph2004★ 21 cited
Matter evolution in Burgulence
Ilya A. Bogaevsky
In inviscid solutions of the forced Burgers equation the matter accumulates in the shock discontinuities. We describe the limit motion of particles everywhere including the shocks…
math.MG2003
Singularities of convex hulls of smooth hypersurfaces
Ilya A. Bogaevsky
We describe singularities of the convex hull of a generic compact smooth hypersurface in four-dimensional affine space up to diffeomorphisms. It turns out there are only two new si…
math.AP2002★ 21 cited
Perestroikas of Shocks and Singularities of Minimum Functions
Ilya A. Bogaevsky
The shock discontinuities, generically present in inviscid solutions of the forced Burgers equation, and their bifurcations happening in the course of time (perestroikas) are class…