Complex singularities of the Burgers system and renormalization group method

D. Li, Y. G. Sinai
2006 Current Developments in Mathematics  
We consider complex-valued solutions of the n-dimensional Burgers' system, n > 1. We show that there exists an open set in the space of n 2 + 5n − 2/2-parameter families of initial conditions such that for each family from this set there are values of parameters for which the solution develops blow up in finite time.
doi:10.4310/cdm.2006.v2006.n1.a3 fatcat:amrh6gi5rfg7vkx57cuhglch2a