Abstract
We study the complex singularities of solutions of some classes of 1D hydrodynamic models. The method is based on the renormalization group theory. We derive the equation for the corresponding fixed point and study the spectrum of the linearized map near this point. This information allows to describe the initial condition for which blow ups at finite time can occur. We should stress that our solutions having blow ups are complex-valued.
Original language | English (US) |
---|---|
Pages (from-to) | 1945-1950 |
Number of pages | 6 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 237 |
Issue number | 14-17 |
DOIs | |
State | Published - Aug 15 2008 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics
Keywords
- Blow up
- Fixed point
- Renormalization group