Condensation and Non-condensation Times for 4-Wave Kinetic Equations
Abstract
Abstract Inspired by the pioneering work of Escobedo and Velazquez [30, 31], we develop a new framework to prove that solutions of 4-wave kinetic equations, under very general forms of dispersion relations, develop a condensation at the origin in finite time, under weaker conditions on the initial data than the ones considered in [30, 31]. We also provide some estimates on the non-condensation times of the solutions.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Cold Atom Physics and Bose-Einstein Condensates
Optical properties and cooling technologies in crystalline materials
Publication details
- Journal / source
- Archive for Rational Mechanics and Analysis
- Publisher
- Springer Science and Business Media LLC
- Volume
- 250
- Issue
- 4
- Publication date
- 16 June 2026
- Language
- EN