Dynamics of reaction-diffusion equations in dumbbell domains under the spatial discretization

• Grant number: 15/24095-6
• Support Opportunities: Scholarships abroad - Research
• Start date: August 01, 2016
• End date: July 25, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: German Jesus Lozada Cruz
• Grantee: German Jesus Lozada Cruz
• Host Investigator: Erik Van Vleck
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Institution abroad: University of Kansas, United States

Abstract

In this proposal we study the asymptotic behavior of a reaction-diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain under the spatial discretization.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

G. LOZADA-CRUZ; C.E. RUBIO-MERCEDES; J. RODRIGUES-RIBEIRO. Numerical Solution of Heat Equation with Singular Robin Boundary Condition. TEMA (São Carlos), v. 19, n. 2, p. 209-220, 2018-08-00. (15/24095-6)

ARAGAO-COSTA, E. R.; FIGUEROA-LOPEZ, R. N.; LANGA, J. A.; LOZADA-CRUZ, G.. Topological Structural Stability of Partial Differential Equations on Projected Spaces. Journal of Dynamics and Differential Equations, v. 30, n. 2, p. 687-718, JUN 2018. (14/02899-3, 15/24095-6, 14/19915-1, 13/21155-2, 09/08435-0)

RUBIO-MERCEDES, C. E.; LOZADA-CRUZ, G.; ORTEGON GALLEGO, F.. Spiral-generation mechanism in the two-dimensional FitzHugh-Nagumo system. RICERCHE DI MATEMATICA, v. N/A, p. 15-pg., 2022-07-25. (15/24095-6)