Search Results - "Flank D. M. Bezerra"

Attractors for a class of wave equations with nonlocal structural energy damping by Bezerra, Flank D. M., Liu, Linfang, Narciso, Vando

“…This paper is concerned with the well-posedness and long-time dynamics for a class of wave equations with a nonlocal structural energy damping. The main result…”
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Stability by Polynomial Squeezing for a Class of Energy Damping Plate Models by Bezerra, Flank D. M., Liu, Linfang, Narciso, Vando

“…In this work we consider a semilinear plate equation with non-constant material density in the context of energy damping models. Existence and uniqueness of…”
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Pullback dynamics for a class of non-autonomous Lamé thermoelastic system by Bezerra, Flank D. M., Narciso, Vando

“…In this paper, we consider a dissipative singularly non-autonomous semilinear problem in thermoelasticity for N -dimensional materials. Under suitable…”
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Chebyshev polynomials for higher order differential equations and fractional powers by Bezerra, Flank D. M., Santos, Lucas A.

“…In this paper we show the characterization of the fractional powers of a class of positive operators by Chebyshev polynomials of the second kind. We consider…”
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Logarithmic counterpart for semilinear Schrödinger equations by Bezerra, Flank D. M.

“…We consider the Dirichlet boundary problems for semilinear logarithmic equations motived by semilinear Schrödinger equations and its fractional approximations…”
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Dynamics for a class of energy beam models with non-constant material density by Bezerra, Flank D. M., Liu, Linfang, Narciso, Vando

“…A semilinear beam/plate equation with non-constant material density in the context of energy damping models is considered. Well-posedness and asymptotic…”
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Asymptotic smoothness effects and global attractor for a peridynamic model with energy damping by Bezerra, Flank D. M., da Silva, Severino H., Narciso, Vando

“…In this paper, we consider a peridynamic model with energy damping inspired by the works of Balakrishnan and Taylor on “damping models” based on the…”
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On coupled semilinear evolution systems: Techniques on fractional powers of 4×4$4\times 4$ matrices and applications by Belluzi, Maykel B., Bezerra, Flank D. M., Nascimento, Marcelo J. D.

“…In this paper, we provide several techniques to explicitly calculate fractional powers of 2×2$2\times 2$ operator matrices…”
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A Well-Posed Logarithmic Counterpart of an Ill-Posed Cauchy Problem by Santos, Lucas A., Bezerra, Flank D. M.

“…In this short paper, we study a well-posed logarithmic counterpart of an ill-posed Cauchy problem associated with an abstract evolution equation of third order…”
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Well-posedness for some third-order evolution differential equations: a semigroup approach by Bezerra, Flank D. M., Carvalho, Alexandre N., Santos, Lucas A.

“…In this paper, we discuss the well-posedness of the Cauchy problem associated with the third-order evolution equation in time u ttt + A u + η A 1 3 u tt + η A…”
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Asymptotic behavior for a class of nonlocal nonautonomous problems by Bezerra, Flank D. M., da Silva, Severino H., Pereira, Antônio L.

“…In this paper we consider the nonlocal nonautonomous evolution problem ∂tu=−u+g(Ku,t)inΩwithu=0inRN∖Ω,where Ω is a smooth bounded domain in RN, g:R2→R and K is…”
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A Higher-Order Non-autonomous Semilinear Parabolic Equation by Belluzi, Maykel, Bezerra, Flank D. M., Nascimento, Marcelo J. D., Santos, Lucas A.

“…In this paper, we study results of well-posedness and regularity of higher order in time abstract non-autonomous semilinear Cauchy problems associated with…”
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Quasi-stability and smooth global attractors for a elasticity-viscoporosity system with nonlinear damping and source of critical exponents by Freitas, Mirelson M., Santos, M. L., Bezerra, Flank D. M., Correia, Jeziel N.

“…In this paper we study the long-time dynamics of elasticity-viscoporosity system consisting of two coupled hyperbolic equations with nonlinear dissipation. The…”
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On the Asymptotic Behavior of Thermoelastic Plate with Terms Concentrated in the Boundary by Aragão, Gleiciane S., Bezerra, Flank D. M., Da Silva, Cládio O. P.

“…In this paper we consider autonomous thermoelastic plate systems with Neumann boundary conditions when some reaction terms are concentrated in a neighborhood…”
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Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition by Bezerra, Flank D. M., Sastre-Gomez, Silvia, da Silva, Severino H.

“…In this paper, we consider the following nonlocal autonomous evolution equation in a bounded domain Ω in : where , and are continuously differentiable…”
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Non-autonomous approximations governed by the fractional powers of damped wave operators by Marcelo J. D. Nascimento, Flank D. M. Bezerra

“…In this article we study non-autonomous approximations governed by the fractional powers of damped wave operators of order $\alpha \in (0,1)$ subject to…”
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Pullback Attractors for a Nonlocal Nonautonomous Evolution Model in RN by Bezerra, Flank D. M., Pereira, Miriam da S., da Silva, Severino H.

“…In this work we consider the nonlocal evolution equation with time-dependent terms which arises in models of phase separation in R N ∂ t u = - u + g β ( J ∗ u…”
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Pullback attractors for a class of non-Newtonian micropolar fluids by Geraldo M. de Araujo, Marcos A. F. Araujo, Flank D. M. Bezerra, Mirelson M. Freitas

“…In this article we study the long time behavior of the two-dimensional flow for non-Newtonian micropolar fluids in bounded smooth domains, in the sense of…”
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Finite fractal dimensionality of attractors for nonlocal evolution equations by Severino Horacio da Silva, Flank D. M. Bezerra

“…In this work we consider the Dirichlet problem governed by a non local evolution equation. We prove the existence of exponential attractors for the flow…”
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Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition by Bezerra, Flank D. M, Sastre-Gomez, Silvia, da Silva, Severino H

“…In this paper we consider the following nonlocal autonomous evolution equation in a bounded domain $\Omega$ in $\mathbb{R}^N$ \[ \partial_t u(x,t) =-…”
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