An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle
| Autor: | Clodoaldo Grotta-Ragazzo, Bernold Fiedler, Carlos Frederico Duarte Rocha |
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| Rok vydání: | 2018 |
| Předmět: |
Lyapunov function
Partial differential equation Advection General Mathematics Mathematical analysis Scalar (mathematics) Dynamical Systems (math.DS) EQUAÇÕES DIFERENCIAIS PARCIAIS PARABÓLICAS Nonlinear Sciences::Chaotic Dynamics 35B40 35K55 symbols.namesake symbols Bibliography FOS: Mathematics Periodic boundary conditions Boundary value problem Mathematics - Dynamical Systems Mathematics |
| Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| DOI: | 10.48550/arxiv.1802.09763 |
| Popis: | We construct an explicit Lyapunov function for scalar parabolic reaction-advection-diffusion equations under periodic boundary conditions. We assume the nonlinearity is even in the advection term. We follow a method originally suggested by Matano and Zelenyak for, and limited to, separated boundary conditions. Comment: 17 pages |
| Databáze: | OpenAIRE |
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