Stochastic hyperbolic equations

• Grant number: 23/06709-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2023
• End date: August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Pedro Jose Catuogno
• Grantee: Claudia Lorena Duarte Espitia
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications, AP.TEM

Abstract

We will study the noise regulation phenomenon in some stochastic hyperbolic equations, as for example in the transport equation, at this point our goal is to prove that the equation is well-posed while the deterministic equation is ill-posed.