Published papers
Bittencourt Moraes, G. E.; Jorge Silva, M. A., Arched beams of Bresse type: Thermoelastic Modeling and Stability Analysis. Applied Mathematics and Optimization, v. 91, p. 60, 2025.
Loreno, G. de; Moraes, G. E. B.; Natali, F.; Pastor, A. Cnoidal waves for the cubic nonlinear Klein-Gordon and Schrödinger equations. European Journal of Mathematics, v.11, n. 31, 2025.
Bittencourt Moraes, G. E.; Natali, F.. Transverse instability of periodic standing waves for the generalized nonlinear Schrodinger equation. Physic Letters A, v. 564, p. 131130, 2025.
Bittencourt Moraes, G. E.; Natali, F., Spectral stability of multiple periodic waves for the Schrodinger system with cubic nonlinearity,. Dynamics of Partial Differential Equations, v. 21, p. 171-195, 2024.
Bittencourt Moraes, G. E., de Camargo, S. J. and Jorge Silva, M. A., Arched beams of Bresse type: New thermal couplings and pattern of stability. Asympotitc Analysis vol 135, no. 1-2, pp. 157-183, 2023.
Moraes, G. E. B., de Loreno, G., Natali, F., Orbital stability of periodic traveling waves for the "abcd'' Boussinesq systems. Communications on Pure and Applied Analysis, 2023, 22(3): 922-945.
Moraes, G. E. B. and de Loreno, G., Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: Existence and orbital instability. J. Math. Anal. Appl. 513 (2022) 126203.
Moraes, G. E. B., Borluk, H., de Loreno, G., Muslu, G. and Natali, F., Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation. Journal of Differential Equations, v. 341, p. 263-291, 2022.
Moraes, G. E. B. and Jorge Silva, M. A., Arched beams of Bresse type: observability and application in thermoelasticity. Nonlinear Dyn 103 (2021), 2365–2390.
Submitted papers
Loreno, G. de; Bittencourt Moraes, G. E. Schrödinger system with quintic nonlinearity: spectral stability of multiple sign-changing periodic waves, 2026. arXiv:2601.20733