Analytical and probabilistic aspects of irregular models

• Grant number: 20/15691-2
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2021
• End date: June 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Christian Horacio Olivera
• Grantee: Christian Horacio Olivera
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas
• Associated researchers: Ciprian Tudor ; David Alexander Chipana Mollinedo ; Marielle Simon ; Pedro Jose Catuogno

Abstract

we will study analytical and probabilistic aspects of irregular models. We will study approximations, via particle systems, of irregular models represented by deterministic partial equations. On the other hand, we will also study the existence, uniqueness and regularity of irregular models represented by stochastic partial differential equations. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

OLIVERA, CHRISTIAN; RICHARD, ALEXANDRE; TOMASEVIC, MILICA. Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, v. 24, n. 2, p. 59-pg., 2023-01-01. (20/15691-2, 20/04426-6)

OLIVERA, CHRISTIAN; TUDOR, CIPRIAN A.. Absolute continuity of the solution to the stochastic Burgers equation. CHAOS SOLITONS & FRACTALS, v. 153, n. 2, DEC 2021. (20/15691-2, 20/04426-6)

NEVES, WLADIMIR; OLIVERA, CHRISTIAN. Stochastic Transport Equations with Unbounded Divergence. JOURNAL OF NONLINEAR SCIENCE, v. 32, n. 4, p. 19-pg., 2022-08-01. (20/15691-2, 20/04426-6)

OLIVERA, CHRISTIAN; LONDONO, JUAN D.. Euler-Lagrangian Approach to Stochastic Euler Equations in Sobolev Spaces. Journal of Mathematical Fluid Mechanics, v. 25, n. 3, p. 10-pg., 2023-08-01. (20/15691-2, 20/04426-6)