Alexandre N. Carvalho
- A Unified Theory for Inertial Manifolds, Saddle Point Property and Exponential Dichotomy
2021/11/22 by Alexandre N. Carvalho, Phillipo Lappicy, Carvalho, Alexandre N. +5 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #35B42 #37D10 #37L25 #37L45 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations
- Finite-dimensional global attractors in Banach spaces
2010/07/26 by Alexandre N. Carvalho, Carvalho, Alexandre N, José A. Langa +3 · 1 citation
Engineering · Mathematics · Computer Science · #Stability and Controllability of Differential Equations #Mathematical Dynamics and Fractals #Advanced Mathematical Modeling in Engineering
- Continuity and topological structural stability for nonautonomous random attractors
2021/11/25 by Tomás Caraballo, Alexandre N. Carvalho, Caraballo, Tomás +5 · 1 citation
Computer Science · Earth and Planetary Sciences · Engineering · #35B41 #35R60 #37B35 #37L55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Arctic and Antarctic ice dynamics #Dynamical Systems (math.DS) #FOS: Mathematics #Stability and Controllability of Differential Equations
- Weak global attractor for the 3D-Navier-Stokes equations via the globally modified Navier-Stokes equations
2024/02/09 by Matheus C. Bortolan, Alexandre N. Carvalho, Bortolan, Matheus Cheque +5 · 1 citation
Engineering · Mathematics · #35B41 #35K58 #35Q30 #76D05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
- Finite Fractal Dimension of uniform attractors for non-autonomous dynamical systems with infinite dimensional symbol space
2024/05/27 by Rafael de Oliveira Moura, Alexandre N. Carvalho, Moura, Rafael de Oliveira +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #35B41 #35K58 #35Q30 #76D05 #Analysis of PDEs (math.AP) #Cellular Automata and Applications #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals