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

• Grant number: 21/05935-4
• Support Opportunities: Regular Research Grants
• Start date: October 01, 2021
• End date: September 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Lynnyngs Kelly Arruda Saraiva de Paiva
• Grantee: Lynnyngs Kelly Arruda Saraiva de Paiva
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• City of the host institution: São Carlos

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)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

ARRUDA, LYNNYNGS K.. Multi-shockpeakons for the stochastic Degasperis-Procesi equation. ELECTRONIC RESEARCH ARCHIVE, v. 30, n. 6, p. 18-pg., 2022-01-01. (21/05935-4)