Nonlocal dissipative models in large domains and applications to oceanic and atmospheric flows

• Grant number: 16/15985-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2017
• End date: March 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gabriela Del Valle Planas
• Grantee: Leonardo Roque Kosloff
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 19/16537-0 - The vanishing obstacle limit and the vortex method for the surface quasi-geostrophic equation, BE.EP.PD

Abstract

In this project we aim to investigate boundary value problems for nonlocal systems in fluid dynamics which serve as geophysical models for ocean and atmosphere dynamics. These have been the subject of various recent papers but for the most part are treated in the case of the whole space. We expect to prove and extend results regarding the well posedness of these systems as well as the qualitative behavior of solutions for large domains in the presence of a boundary. The latter plays an active role and determines significantly different dynamics for both the interior and boundary flow. (AU)

Scientific publications

(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)

KOSLOFF, LEONARDO; NICHE, CESAR J.; PLANAS, GABRIELA. Inviscid limit for SQG equation in different dispersive regimes via relative energy inequality. Applied Mathematics Letters, v. 88, p. 243-249, FEB 2019. (16/15985-0)