Published papers
2025
- E. H. Gomes Tavares, L. Delatorre, M. A. Jorge Silva, J. Yuan,
A Shape Condition for Exponential Characterization of Timoshenko Systems with Non-smooth Memory Effects,
Applied Mathematics & Optimization, Vol. 92, Issue 3, article number 55, (2025).
DOI: 10.1007/s00245-025-10345-4
- M. A. Jorge Silva, T. F. Ma,
Mathematical models for arched beams in viscoelasticity,
Applied Mathematical Modelling, Vol. 140, p. 115890 (2025).
DOI: 10.1016/j.apm.2024.115890
- G. E. Bittencourt Moraes, M. A. Jorge Silva,
Arched Beams of Bresse Type: Thermoelastic Modeling and Stability Analysis,
Appl. Math. Optim., Vol. 91, Iss. 60, p. 60, (2025).
DOI: 0.1007/s00245-025-10255-5
- C. L. Frota, M. A. Jorge Silva, S. B. Pinheiro,
Stability analysis of partially viscoelastic Reissner-Mindlin-Timoshenko plates,
Evolution Equations and Control Theory, Vol. 14, Iss. 4, p. 748-781, (2025).
DOI: 10.3934/eect.2025005
- M. A. Jorge Silva, R. N. Monteiro, T. M. Souza,
Asymptotic dynamics of semilinear thermoelastic Timoshenko systems,
Discrete and Continuous Dynamical Systems - S, Vol. 18, Iss. 7, p. 2027-204, (2025).
DOI: 10.3934/dcdss.2025031
2024
- E. H. Gomes Tavares, M. A. Jorge Silva, I. Lasiecka, V. Narciso,
Dynamics of extensible beams with nonlinear non-compact energy-level damping,
Math. Ann., Vol. 390, pp 1821–1862, (2024).
DOI: 10.1007/s00208-023-02796-3
- B. Feng, M. A. Jorge Silva,
Long-time dynamics of a problem of strain gradient porous elastic theory with nonlinear damping,
Applicable Analysis, Vol. 103, Iss. 6, pp 1009–1035 (2024).
DOI: 10.1080/00036811.2023.2228815
- C. L. Frota, M. A. Jorge Silva, S. B. Pinheiro,
A time-fractional superdiffusion wave-like equation with subdiffusion possibly damping term:
well-posedness and Mittag-Leffler stability,
Fract. Calc. Appl. Anal., Vol. 27, pp 1236–1266 (2024).
DOI: 10.1007/s13540-024-00249-5
- E. H. Gomes Tavares, M. A. Jorge Silva, T. F. Ma, H. P. Oquendo,
Shearing Viscoelasticity in Partially Dissipative Timoshenko–Boltzmann Systems,
SIAM J. Math. Anal., Vol. 56, Iss. 1, pp 1149-1178 (2024).
DOI: 10.1137/23M1568375
- E. H. Gomes Tavares, M. A. Jorge Silva, Y. Li, V. Narciso, Z. Yang,
Dynamics of a thermoelastic Balakrishnan-Taylor beam model with fractional operators,
Appl Math Optim, vol. 89, Issue 1, article 17 (2024).
DOI: 10.1007/s00245-023-10086-2
2023
- Xin-Guang Yang, Shubin Wang, M. A. Jorge Silva,
Lamé system with weak damping and nonlinear time-varying delay,
Advances in Nonlinear Analysis, vol. 12, no. 1, 2023, pp. 20230115.
DOI:10.1515/anona-2023-0115
- E. H. Gomes Tavares, M. A. Jorge Silva, V. Narciso, A. Vicente,
Intrinsic polynomial squeezing for Balakrishnan-Taylor
beam models,
In: Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics. Birkhäuser, 1ed (2023), p. 621-633.
DOI:10.1007/978-3-031-36375-7_47, ISBN: 978-3-031-36374-0.
- G. E. Bittencourt Moraes, S. J. de Camargo, M. A. Jorge Silva,
Arched beams of Bresse type: new thermal couplings and pattern of stability,
Asymptotic Analysis, vol. 135, no. 1-2, pp. 157-183, 2023.
DOI:10.3233/ASY-231850
- E. H. Gomes Tavares, M. A. Jorge Silva, V. Narciso, A. Vicente,
Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping,
Adv. Differential Equations, Vol. 28, Issue 7/8, 685-752, 2023.
DOI:10.57262/ade028-0708-685
- E. H. Gomes Tavares, M. A. Jorge Silva, T. F. Ma,
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations,
Applied Mathematics & Optimization, Vol. 87, Issue 2, Article: 27, 2023.
DOI:10.1007/s00245-022-09934-4
- L. B. Bocanegra-Rodríguez, M. A. Jorge Silva, T. F. Ma, P. N. Seminario-Huertas,
Longtime dynamics of a semilinear Lamé system,
J Dyn Diff Equat, Vol. 35, 1435–1456, 2023.
DOI: 10.1007/s10884-021-09955-7
- M.A. Jorge Silva, Y. Ueda,
Memory effects on the stability of viscoelastic Timoshenko systems in
the whole 1D-space,
Funkcialaj Ekvacioj, Vol. 66, Issue 2, 71-123, 2023.
DOI: 10.1619/fesi.66.71
2022
- M. A. Jorge Silva, N. Mori,
Decay property for a novel partially dissipative
viscoelastic beam system on the real line,
Journal of Hyperbolic Differential Equations, Vol. 19, No. 3, 391–406, 2022.
DOI: 10.1142/S0219891622500114
- G. Liu, M. A. Jorge Silva,
Attractors and their properties for a class of Kirchhoff models with integro-differential damping,
Applicable Analysis, Vol. 101, Issue 9, 3284-3307, 2022 .
DOI: 10.1080/00036811.2020.1846722
- F. Dell'Oro, M. A. Jorge Silva, S. B. Pinheiro,
Exponential stability of Timoshenko-Gurtin-Pipkin systems with full thermal coupling.
Discrete and Continuous Dynamical Systems - Series S, Vol. 15, Issue 8, 2189-2207, 2022.
DOI: 10.3934/dcdss.2022050
- E. H. Gomes Tavares, M. A. Jorge Silva, T. F. Ma,
Unified Stability analysis for a Volterra integro-differential equation under the creation time perspective,
Z. Angew. Math. Phys. Vol. 73, Issue 3, 118 (2022).
DOI: 10.1007/s00033-022-01756-2
- B. M. Calsavara, E. H. Gomes Tavares, M. A. Jorge Silva,
Exponential stability for a thermo-viscoelastic Timoshenko system with fading memory,
J. Math. Anal. Appl., Vol. 512, Ed. 2, p. 126147, 2022.
DOI: 10.1016/j.jmaa.2022.126147
- M. A. Jorge Silva, S. B. Pinheiro,
A new perspective of exponential stability for Timoshenko systems under history and thermal effects,
Asymptotic Analysis, Vol. 127, Ed. 3, pp. 217-248, 2022.
DOI: 10.3233/ASY-211688
2021
- Cavalcanti M.M.; Corrêa W. J.; Domingo Cavalcanti, V.N.; Jorge Silva M.A.; Zanchetta J. P.;
Uniform stability for a semilinear non-homogeneous Timoshenko system with localized nonlinear damping,
Zeitschrift für Angewandte Mathematik und Physik - ZAMP, Vol. 72, Issue 6, art. 191, 2021.
DOI: 10.1007/s00033-021-01622-7
- Cavalcanti M.M.; Domingo Cavalcanti, V.N.; Jorge Silva M.A.; Narciso V.;
Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type,
Journal of Differential Equations, Vol. 290, 197–222, 2021.
DOI: 10.1016/j.jde.2021.04.028
- Bittencourt Moraes G.E.; Jorge Silva M.A.;
Arched beams of Bresse type: observability and application in thermoelasticity,
Nonlinear Dynamics, Vol. 103, Issue 3, 2365-2390, 2021.
DOI: 10.1007/s11071-021-06243-3
- Jorge Silva M.A.; Racke R.;
Effects of history and heat models on the stability of
thermoelastic Timoshenko systems,
Journal of Differential Equations, Vol. 275, p. 167-203, 2021.
DOI: 10.1016/j.jde.2020.11.041
- Yayla S.; Cardozo L.C.; Jorge Silva M. A.; Narciso V.;
Dynamics of a Cauchy problem related to extensible beams under nonlocal and localized damping effects,
Journal of Mathematical Analysis and Applications, Vol. 494, Issue 1, p. 124620, 2021.
DOI: 10.1016/j.jmaa.2020.124620
2020 -- previous
- Dattori da Silva P. L.; Gonzalez R. B.; Jorge Silva M. A.;
Solvability for perturbations of a class of real vector fields on the two-torus,
Journal of Mathematical Analysis and Applications, Vol. 492, Issue 2, p. 124467, 2020.
DOI: 10.1016/j.jmaa.2020.124467
- Feng B.; Caixeta H. A.; Jorge Silva M. A. ;
Long-time behavior for a class of semi-linear viscoelastic Kirchhoff beam/plates,
Applied Mathematics & Optimization , v. 82, 657–686, 2020.
DOI: 10.1007/s00245-018-9544-3
- Gomes Tavares E.H.; Jorge Silva M.A.; Narciso, V.;
Long-time dynamics of Balakrishnan-Taylor extensible beams,
Journal of Dynamics and Differential Equations , v. 32, 1157-1175, 2020.
DOI: 10.1007/s10884-019-09766-x
- Faria J.C.O.; Jorge Silva M.A.; Souza Franco A.Y.;
A general stability result for the semilinear viscoelastic wave model under localized effects,
Nonlinear Analysis: Real World Applications, v. 56, article: 103158, 2020.
DOI: 10.1016/j.nonrwa.2020.103158
- Alves M. O.; Caixeta H. A.; Jorge Silva M. A.; Rodrigues J. H.; Almeida Júnior D. S.;
On a Timoshenko system with thermal coupling on both the bending moment and the shear force.
Journal of Evolution Equations, v. 20 (1), 295-320, 2020.
DOI: 10.1007/s00028-019-00522-8
- Alves M. O.; Gomes Tavares E.H.; Jorge Silva M. A.; Rodrigues J. H.;
On Modeling and Uniform Stability of a Partially Dissipative Viscoelastic Timoshenko System.
SIAM Journal on Mathematical Analysis , v. 51 (6), 4520-4543, 2019.
DOI: 10.1137/18M1191774
- Cardozo L. C.; Jorge Silva M. A.; Ma, T. F.; Muñoz Rivera, J. E.;
Stability of Timoshenko systems with thermal coupling on the bending moment,
Mathematische Nachrichten, v. 292 (12), 2537-2555, 2019.
DOI: 10.1002/mana.201800546
- Jorge Silva, M. A.; Narciso, V.; Vicente, A.;
On a beam model related to flight structures with nonlocal energy damping,
Discrete and Continuous Dynamical Systems - B, v. 24 (7), p. 3281-3298, 2019.
DOI: 10.3934/dcdsb.2018320
- Jorge Silva M.A.; Pinheiro, S.B.;
Improvement on the polynomial stability for a Timoshenko system with type III thermoelasticity,
Applied Mathematics Letters, v. 96, p. 95-100, 2019.
DOI: 10.1016/j.aml.2019.04.014
- Alves M. O.; Caixeta H. A.; Jorge Silva M. A.; Rodrigues J. H.;
Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach.
Zeitschrift für Angewandte Mathematik und Physik - ZAMP, v. 69, Issue 4, art. 106, 2018.
DOI: 10.1007/s00033-018-0999-5
- Gomes Tavares E.H.; Jorge Silva M.A.; Narciso, V.;
On a decay rate for nonlinear extensible viscoelastic beams with history setting.
Applicable Analysis, v. 97, Issue 11, p. 1916-1932, 2018.
DOI: 10.1080/00036811.2017.1343940
- Cavalcanti A.D.D.; Cavalcanti M.M.; Fatori L. H.; Jorge Silva, M.A.;
Unilateral problems for the wave equation with degenerate and localized nonlinear damping:
well-posedness and non-stability results.
Mathematische Nachrichten, v. 291, Issue 8-9, p. 1216-1239, 2018.
DOI: 10.1002/mana.201600413
- Cavalcanti M.M.; Domingos Cavalcanti V.N.;Jorge Silva M.A.; de Souza Franco A.Y.;
Exponential stability for the wave model with localized
memory in a past history framework.
Journal of Differential Equations, v. 264, Issue 11, p. 6535-6584, 2018.
DOI: 10.1016/j.jde.2018.01.044
- Gomes Tavares E.H.; Jorge Silva M.A.; Ma, T.F.;
Sharp decay rates for a class of nonlinear viscoelastic plate models.
Communications in Contemporary Mathematics, v. 20 (2), p. 1750010, 2018.
DOI: 10.1142/S0219199717500109
- Alves, M. S.; Jorge Silva, M. A.; Ma, T. F.; Muñoz Rivera, J. E.;
Non-homogeneous thermoelastic Timoshenko systems.
Bulletin of the Brazilian Mathematical Society, New Series, v. 48 (3), p. 461–484, 2017.
DOI: 10.1007/s00574-017-0030-3
- Jorge Silva M.A.; Narciso V.;
Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping.
Evolution Equations and Control Theory, v. 6 (3), p. 437-470, 2017.
DOI: 10.3934/eect.2017023
- Cavalcanti M. M.; Domingos Cavalcanti V. N.; Jorge Silva, M. A.; Webler C. M.;
Exponential stability for the wave equation with degenerate nonlocal weak damping.
Israel Journal of Mathematics, v. 219 (1), p. 189-213, 2017.
DOI: 10.1007/s11856-017-1478-y
- Fatori L. H.; Jorge Silva, M. A.; Narciso V.;
Quasi-stability property and attractors for a semilinear Timoshenko system.
Discrete and Continuous Dynamical Systems - A, v. 36 (11), p. 6117-6132, 2016.
DOI: 10.3934/dcds.2016067
- Alves, M. S.; Jorge Silva, M. A.; Ma, T. F.; Muñoz Rivera, J. E.;
Invariance of decay rate with respect to boundary conditions in thermoelastic Timoshenko systems.
Zeitschrift für Angewandte Mathematik und Physik - ZAMP, v. 67 (3), art. 70, 2016.
DOI: 10.1007/s00033-016-0662-y
- Jorge Silva, M. A.; Muñoz Rivera, J. E.; Racke R.;
On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates
Applied Mathematics & Optimization, v. 73 (1), p. 165-194, 2016.
DOI: 10.1007/s00245-015-9298-0
- Fatori L. H.; Jorge Silva, M. A.; Ma, T. F.; Zhijian Yang;
Long-time behavior of a class of thermoelastic plates with nonlinear strain
Journal of Differential Equations, v. 259 (9), p. 4831-4862, 2015.
DOI: 10.1016/j.jde.2015.06.026
- Jorge Silva, M. A.; Narciso V.;
Attractors and their properties for a class of nonlocal extensible beams
Discrete and Continuous Dynamical Systems - A, v. 35 (3), p. 985-1008, 2015.
DOI: 10.3934/dcds.2015.35.985
- Alves, M. O.; Fatori L. H.; Jorge Silva, M. A.; Monteiro, R. N.;
Stability and optimality of decay rate for a weakly dissipative Bresse system
Mathematical Methods in the Applied Sciences, v. 38, p. 898-908, 2015.
DOI: 10.1002/mma.3115
- Jorge Silva, M. A.; Narciso V.;
Long-time behavior for a plate equation with nonlocal weak damping
Differential and Integral Equations, v.
27, p. 931-948, 2014.
DOI:
- Jorge Silva, M. A.; Ma, T. F.; Muñoz Rivera, J. E.;
Mindlin-Timoshenko systems with Kelvin-Voigt damping: analyticity and optimal decay rates
Journal of Mathematical Analysis and Applications,
v. 417, p. 164–179, 2014.
DOI: 10.1016/j.jmaa.2014.02.066
- Jorge Silva, M. A.; Ma, T. F.;
Long-time dynamics for a class of Kirchhoff models with memory
Journal of Mathematical Physics, v. 54, p. 021505, 2013.
DOI: 10.1063/1.4792606
- Jorge Silva, M. A.; Ma, T. F.;
On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type
IMA Journal of Applied Mathematics,
v. 78, p. 1130–1146, 2013.
DOI: 10.1093/imamat/hxs011
- Andrade, D.; Jorge Silva, M. A.; Ma, T. F.;
Exponential stability for a plate equation with p-Laplacian and memory terms
Mathematical Methods in the Applied Sciences, v. 35, p. 417-426, 2012.
DOI: 10.1002/mma.1552
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