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Marcelo M. Cavalcanti

Marcelo M. Cavalcanti

D-Index & Metrics

Mathematics

D-Index
33
Citations
5220
World Ranking
3030
National Ranking
27

Overview

Marcelo M. Cavalcanti is affiliated with the State University of Maringa in Brazil. Their research spans multiple fields including Engineering, Mathematics, and Computer Science, with a focus on control theory, mathematical physics, and computational mathematics.

The scientist has contributed significantly to the study of stability and controllability of differential equations, as well as advanced mathematical modeling in engineering and advanced mathematical physics problems. Their topical expertise also extends to numerical methods in inverse problems, nonlinear partial differential equations, nonlinear dynamics and pattern formation, and nonlinear differential equations analysis.

Marcelo M. Cavalcanti's recent publications include:

  • Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions (2020), published in SIAM Journal on Control and Optimization
  • Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type (2021), published in Journal of Differential Equations
  • Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping (2020), published in Journal of Differential Equations
  • Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth (2022), published in Journal of Differential Equations
  • Exponential Stability for the 2D Wave Model with Localized Memory in a Past History Framework and Nonlinearity of Arbitrary Growth (2022), published in Journal of Geometric Analysis

Frequent co-authors with whom Marcelo M. Cavalcanti has collaborated include:

  • V. N. Domingos Cavalcanti
  • Victor H. Gonzalez Martinez
  • André Vicente
  • Wellington José Corrêa
  • Joici Lilian Rodrigues

The scientist's work has appeared in several academic venues multiple times, the most frequent being:

  • arXiv (Cornell University)
  • Applied Mathematics & Optimization
  • RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218
  • Journal of Differential Equations
  • Journal of Mathematical Analysis and Applications

Marcelo M. Cavalcanti's research interests concentrate on stability issues of partial differential equations, with a strong emphasis on damping effects, localized memory, and nonlinear growth effects. Their contributions bridge theoretical mathematical frameworks and applications in control and dynamic systems within engineering and mathematical physics contexts.

Best Publications

  • Frictional versus Viscoelastic Damping in a Semilinear Wave Equation

    Marcelo Moreira Cavalcanti;Higidio Portillo Oquendo

  • Existence and uniform decay for a non-linear viscoelastic equation with strong damping

    M. M. Cavalcanti;V. N. Domingos Cavalcanti;J. Ferreira

  • Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping

    Marcelo M. Cavalcanti;V. N. Domingos Cavalcanti;Juan A. Soriano

  • Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction

    Marcelo M. Cavalcanti;Valéria N. Domingos Cavalcanti;Irena Lasiecka

  • Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation

    M. M. Cavalcanti;V. N. Domingos Cavalcanti;J. A. Soriano

  • Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping

    M. M. Cavalcanti;V. N. Domingos Cavalcanti;J. S. Prates Filho;J. A. Soriano

  • General decay rate estimates for viscoelastic dissipative systems

    M.M. Cavalcanti;V.N. Domingos Cavalcanti;P. Martinez

  • Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain

    M. Aassila;M. M. Cavalcanti;J. A. Soriano

  • EXISTENCE AND DECAY RATE ESTIMATES FOR THE WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM

    Marcelo M Cavalcanti;Valéria N Domingos Cavalcanti;Patrick Martinez

  • Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term

    M. Aassila;M.M. Cavalcanti;V.N. Domingos Cavalcanti

  • GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION

    M M Cavalcanti;V N Domingos Cavalcanti;J A Soriano

  • Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains

    M. M. Cavalcanti;V. N. Domingos Cavalcanti;T. F. Ma

  • Uniform stabilization of the damped Cauchy–Ventcel problem with variable coefficients and dynamic boundary conditions

    Marcelo M. Cavalcanti;Marcelo M. Cavalcanti;Ammar Khemmoudj;Ammar Khemmoudj;Mohamed Medjden;Mohamed Medjden

  • On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source

    Claudianor O. Alves;Marcelo M. Cavalcanti

  • On existence, uniform decay rates and blow up for solutions ofsystems of nonlinear wave equations with damping and source terms

    Claudianor O. Alves;M. M. Cavalcanti;Valeria N. Domingos Cavalcanti;Mohammad A. Rammaha

  • Asymptotic Stability of the Wave Equation on Compact Manifolds and Locally Distributed Damping: A Sharp Result

    M. M. Cavalcanti;V. N. Domingos Cavalcanti;R. Fukuoka;J. A. Soriano

  • Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result

    M. M. Cavalcanti;V. N. Domingos Cavalcanti;R. Fukuoka;J. A. Soriano

  • Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping

    M. M. Cavalcanti;V. N. Domingos Cavalcanti;F. A. Falcão Nascimento;I. Lasiecka;I. Lasiecka

  • Uniform Decay Rates of Solutions to a Nonlinear Wave Equation with Boundary Condition of Memory Type

    Marcelo Moreira Cavalcanti;Valéria N. Domingos Cavalcanti;Mauro L. Santos

  • Existence and Exponential Decay for a Kirchhoff–Carrier Model with Viscosity

    M.M Cavalcanti;V.N Domingos Cavalcanti;J.S Prates Filho;J.A Soriano

  • Intrinsic decay rate estimates for the wave equationwith competing viscoelastic and frictional dissipative effects

    Marcelo M. Cavalcanti;Valéria N. Domingos Cavalcanti;Irena Lasiecka;Flávio A. Falcão Nascimento

  • EXISTENCE AND UNIFORM DECAY OF THE WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND BOUNDARY MEMORY SOURCE TERM

    Marcelo Moreira Cavalcanti

Frequent Co-Authors

Irena Lasiecka
Irena Lasiecka University of Memphis
Mauro Santos
Mauro Santos Federal University of Pernambuco
Claudianor O. Alves
Claudianor O. Alves Federal University of Campina Grande
Vilmos Komornik
Vilmos Komornik University of Strasbourg

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