Lower bounds for derivatives of solutions for nonlinear Schrödinger equations
Published online by Cambridge University Press: 25 March 2009
Abstract
The main goal of this paper is to obtain the lower bounds
for solutions uν of nonlinear Schrödinger equations with small viscosity ν. We also discuss the application of the above estimate to the theory of turbulence. Namely, we are interested in time-averaged lower bounds, which are important in establishing upper bounds for the turbulent space-scale.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 2 , April 2009 , pp. 237 - 251
- Copyright
- Copyright © Royal Society of Edinburgh 2009
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