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VOL. 2006 | 2008 Complex Singularities of the Burgers System and Renormalization Group Method
Dong Li, Ya. G. Sinai

Editor(s) David Jerison, Barry Mazur, Tomasz Mrowka, Wilfried Schmid, Richard P. Stanley, Shing-Tung Yau

Abstract

We consider complex-valued solutions of the n-dimensional Burgers' system, $n \gt 1$. 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.

Information

Published: 1 February 2008
First available in Project Euclid: 10 October 2008

zbMATH: 1171.35106
MathSciNet: MR2459306

Rights: Copyright © 2008 International Press of Boston

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