Stochastic fluid dynamics equations

• Grant number: 25/19734-1
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: January 01, 2026
• End date: December 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Christian Horacio Olivera
• Grantee: Claudia Lorena Duarte Espitia
• Supervisor: Ludovic Goudenege
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Laboratoire De Mathématiques Et Modélisation D'Évry, France
• Associated to the scholarship: 24/09988-3 - Stochastic inhomogeneous Euler equations, BP.PD

Abstract

The proposed research project focuses on the study of stochastic non-homogeneous Navier-Stokes and Euler equations in Sobolev spaces, with transport type noise. Specifically, the aim is to analyze the well-posedness of the solutions, as well as to study their asymptotic behavior through the analysis of invariant measures associated with this type of systems.