Formal Expansions in Stochastic Model for Wave Turbulence 1: Kinetic Limit
نویسندگان
چکیده
We consider the damped/driven (modified) cubic NLS equation on a large torus with properly scaled forcing and dissipation, decompose its solutions to formal series in amplitude. study second order truncation of this prove that when amplitude goes zero torus’ size infinity energy spectrum truncated becomes close solution wave kinetic equation. Next we discuss higher truncations series.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2021
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-021-03955-w