| Full text | |
| Author(s): |
Correa, Jesus
;
Olivera, Christian
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF NONLINEAR SCIENCE; v. 35, n. 3, p. 47-pg., 2025-06-01. |
| Abstract | |
We propose a mathematical derivation of stochastic compressible Navier-Stokes equation. We consider many-particle systems with a Hamiltonian dynamics supplemented by a friction term and environmental noise. Both the interaction potential and the additional friction force are supposed to be long range in comparison with the typical distance between neighboring particles. It is shown that the empirical measures associated with the position and velocity of the system converge to the solutions of the stochastic compressible Navier-Stokes equations of a barotropic fluid. Moreover, we quantify the distance between particles and the limit in suitable Besov and Triebel-Lizorkin spaces. (AU) | |
| FAPESP's process: | 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications |
| Grantee: | Paulo Regis Caron Ruffino |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/03379-0 - Stochastic and deterministic analysis for irregular models |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |