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Alexandre N. Carvalho

Alexandre N. Carvalho

D-Index & Metrics

Mathematics

D-Index
33
Citations
4706
World Ranking
3045
National Ranking
30

Overview

Alexandre N. Carvalho is affiliated with Universidade de São Paulo in Brazil. Their research spans several fields, predominantly Mathematics, Engineering, and Computer Science, with a strong focus on applied and theoretical aspects.

The scientist's work covers notable subfields, including Applied Mathematics, Control and Systems Engineering, Computational Theory and Mathematics, Mathematical Physics, and Computer Networks and Communications.

The main topics addressed in their research include:

  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Nonlinear Differential Equations Analysis
  • Nonlinear Partial Differential Equations
  • Differential Equations and Boundary Problems
  • Navier-Stokes equation solutions

Carvalho has collaborated frequently with various researchers. Among the most common coauthors are:

  • Matheus C. Bortolan
  • José A. Langa
  • Tomás Caraballo
  • José Langa
  • Alexandre N. Oliveira-Sousa

Publication venues favored by Carvalho include a range of journals and archives. The most frequent places of publication are:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Journal of Mathematical Analysis and Applications
  • Matemática Contemporânea
  • Discrete and Continuous Dynamical Systems - B

Recent published papers illustrate the research themes and scope of Carvalho's work. These include:

  • "Fractional approximations of abstract semilinear parabolic problems" (2020), published in Discrete and Continuous Dynamical Systems - B
  • "Lipschitz perturbations of Morse-Smale semigroups" (2020), published in Journal of Differential Equations
  • "Smoothing and finite-dimensionality of uniform attractors in Banach spaces" (2021), published in Journal of Differential Equations
  • "A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation" (2020), published in Communications on Pure & Applied Analysis
  • "Nonautonomous Perturbations of Morse-Smale Semigroups: Stability of the Phase Diagram" (2021), published in Journal of Dynamics and Differential Equations

Carvalho has authored at least one book titled Attractors Under Autonomous and Non-autonomous Perturbations, published in 2020 by Mathematical Surveys and Monographs.

Best Publications

  • Attractors for infinite-dimensional non-autonomous dynamical systems

    Alexandre N. Carvalho;Jose A. Langa;James C. Robinson

  • A damped hyerbolic equation with critical exponent

    José Arrieta;Alexander N. Carvalho;Jack K. Hale

  • Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations

    José M. Arrieta;Alexandre N. Carvalho

  • Parabolic problems with nonlinear boundary conditions and critical nonlinearities

    José M Arrieta;Alexandre N Carvalho;Anibal Rodrı́guez-Bernal

  • Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds

    José María Arrieta Algarra;Alexandre N. Carvalho;Aníbal Rodríguez Bernal

  • Attractors for Strongly Damped Wave Equations with Critical Nonlinearities

    Alexandre N. Carvalho;J. A. N. W. Cholewa

  • LOCAL WELL POSEDNESS FOR STRONGLY DAMPED WAVE EQUATIONS WITH CRITICAL NONLINEARITIES

    Alexandre N. Carvalho;Jan W. Cholewa

  • Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain

    José M. Arrieta;Alexandre Nolasco de Carvalho

  • Dynamics in dumbbell domains I. Continuity of the set of equilibria

    José M Arrieta;Alexandre Nolasco de Carvalho;German Lozada-Cruz

  • A General Approximation Scheme for Attractors of Abstract Parabolic Problems

    Alexandre N. Carvalho;Sergey Piskarev

  • Semilinear parabolic problems in thin domains with a highly oscillatory boundary

    José M. Arrieta;Alexandre N. Carvalho;Marcone C. Pereira;Ricardo P. Silva

  • An extension of the concept of gradient semigroups which is stable under perturbation

    Alexandre Nolasco de Carvalho;José A. Langa

  • Existence of pullback attractors for pullback asymptotically compact processes

    Tomás Caraballo;Alexandre N. Carvalho;José A. Langa;Felipe Rivero

  • Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system

    Alexandre Nolasco de Carvalho;José A. Langa;James C. Robinson;Antonio Suarez

  • DYNAMICS IN DUMBBELL DOMAINS II. THE LIMITING PROBLEM

    Jose M. Arrieta;Alexandre N. Carvalho;German Jesus Lozada-Cruz

  • Dynamics in dumbbell domains III. Continuity of attractors

    Jose M. Arrieta;Alexandre N. Carvalho;German Jesus Lozada-Cruz

  • Strongly damped wave problems: Bootstrapping and regularity of solutions

    A.N. Carvalho;J.W. Cholewa;Tomasz Dlotko

  • Upper Semicontinuity of Attractors and Synchronization

    Alexandre N Carvalho;Hildebrando M Rodrigues;Tomasz Dłotko

  • Stability of gradient semigroups under perturbations

    Éder Ritis Aragão-Costa;Tomás Caraballo;Alexandre Nolasco de Carvalho;Jose Antonio Langa

  • Attractors for Parabolic Problems with Nonlinear Boundary Conditions

    Alexandre Nolasco de Carvalho;Sergio Muniz Oliva;Antonio Luiz Pereira;Anibal Rodriguez-Bernal

  • Global attractors for problems with monotone operators

    Alexandre N. Carvalho;Jan W. Cholewa;Tomasz Dlotko

Frequent Co-Authors

José A. Langa
José A. Langa University of Seville
Tomás Caraballo
Tomás Caraballo University of Seville
José Valero
José Valero Miguel Hernandez University
Thierry Cazenave
Thierry Cazenave Sorbonne University
Jack K. Hale
Jack K. Hale Georgia Institute of Technology

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