Condensation and Non-condensation Times for 4-Wave Kinetic Equations
Year: 2026
Type: article
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.
Authors: Gigliola Staffilani, Minh-Binh Tran
Institutions: Massachusetts Institute of Technology, Texas A&M University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funder: National Science Foundation
Awards: Collaborative Research: On New Directions for the Derivation of Wave Kinetic Equations, CAREER: Emerging Challenges in Wave Turbulence Theory, G6671297155, Questions in Wave Turbulence and Quantum Kinetic Theories, FRG: Collaborative Research: New Challenges in the Derivation and Dynamics of Quantum Systems, Collaborative Research: On New Directions for the Derivation of Wave Kinetic Equations, Machine Learning and Mean Field Control
OpenAlex ID: W4402466916