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Lp-Lq decay estimates for solutions to the inviscid Boussinesq equation

Grant number: 23/07827-0
Support Opportunities:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): November 01, 2023
Effective date (End): February 29, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Marcelo Rempel Ebert
Grantee:Halit Sevki Aslan
Supervisor: Marcello Dabbicco
Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
Research place: Università degli Studi di Bari - Aldo Moro, Italy  
Associated to the scholarship:21/01743-3 - Asymptotic profiles for evolution equations with time-dependent coefficients, BP.PD

Abstract

In this project, we are interested in the asymptotic behavior for solutions to the Cauchy problem for the inviscid Boussinesq equation in the whole space R^n. We plan to derive long-time Lp-Lq decay estimates for solutions for time-dependent multipliers by means of the Fourier analysis and the WKB method. (AU)

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