Existence and properties of travelling wave solutions for deterministic and stochastic nonlinear partial differential equations of second order

• Grant number: 21/05935-4
• Support type: Regular Research Grants
• Duration: October 01, 2021 - September 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal researcher: Lynnyngs Kelly Arruda Saraiva de Paiva
• Grantee: Lynnyngs Kelly Arruda Saraiva de Paiva
• Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

This project is concerned with the existence of travelling wave solutions (multi-peakons) for stochastic (additive) perturbations of some nonlinear Partial Differential Equations (PDEs) of second order recently classified. We also intend to prove the existence and stability of periodic travelling waves of some deterministic (zero noise) equations of this same family of nonlinear PDEs of second order. (AU)