Quadriênio 2017-2020

R. A. Capistrano-Filho, V. Komornik and A. F. Pazoto, Pointwise control of the linearized Gear--Grimshaw system, Evolution Equations & Control Theory, 9(3) (2020), 693-719.

R. de A. Capistrano-Filho, M. Cavalcante and F. A. Gallego, Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane, Pacific Journal of Mathematics, 309-1 (2020), 35-70.

Perusato, C. F., Melo, W. G., Guterres, R. H., Nunes, J. R., Time asymptotic profiles to the magneto-micropolar system, Accepted, Applicable Analysis, 2020

Braz e Silva, P., Melo, W. G., Rocha, N. F., Existence, Uniqueness and Blow-up of Solutions for the 3D Navier-Stokes equations in homogeneous Sobolev-Gevrey spaces, Accepted, Computational and Applied Mathematics, 2020

BRAZ E SILVA, PABLO ; CRUZ, FELIPE W. ; ROJAS-MEDAR, MARKO A. . Global strong solutions for variable density incompressible asymmetric fluids in thin domains. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 55, p. 103125, 2020.

Melo, W. G., Nunes, J., Perusato, C., Large time decay for the Magnetohydrodynamics equations in Sobolev-Gevrey spaces, Accepted, monatshefte für Mathematik, 2020

Braz e Silva, P., Cunha, C., Rojas-Medar, M., The initialization problem for the equations of incompressible asymmetric fluids, Accepted, Applied Mathematics and Optimization, 2020

APARCANA, ALDRYN ; CASTILLO, RICARDO ; GUZMÁN-REA, OMAR ; LOAYZA, MIGUEL . On the local existence for a weakly parabolic system in Lebesgue spaces. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 268, p. 3129-3151, 2020.

BRAZ E SILVA, P. ; CRUZ, F.W. ; Loayza, M. ; ROJAS-MEDAR, M.A. . Global unique solvability of nonhomogeneous asymmetric fluids: A Lagrangian approach. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 269, p. 1319-1348, 2020.

Braz e Silva, P., Zingano, J. P., Zingano, P. R., A note on the regularity time of Leray solutions to the Navier-Stokes equations, Journal of Mathematical Fluid Mechanics, no. 1, Art. 8, 7 pp., 2019

BRAZ E SILVA, P. ; CRUZ, F. W. ; ROJAS-MEDAR, M. A. ; SANTOS, E. G. . Weak solutions with improved regularity for the nonhomogeneous asymmetric fluids equations with vacuum. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v. 473, p. 567-586, 2019.

BRAZ E SILVA, P. ; CRUZ, F. W. ; FREITAS, L. B. S. ; ZINGANO, P. R. . On the L2 decay of weak solutions for the 3D asymmetric fluids equations. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 267, p. 3578-3609, 2019.

CRUZ, FELIPE W.; BRAZ E SILVA, PABLO . Error Estimates for Spectral Semi-Galerkin Approximations of Incompressible Asymmetric Fluids with Variable Density. Journal of Mathematical Fluid Mechanics, v. 21, p. 1-27 (Art. 2), 2019.

Capistrano-Filho, R. A., Gallego, F. A., Pazoto, A. F., On the well posedness and large-time behavior of higher order Boussinesq system, Nonlinearity, v. 32, p. 1852-1881, 2019

Capistrano-Filho, R. A., Rosier, L., Pazoto, A. F., Control of a Boussinesq system of KdV-KdV type on a bounded interval, ESAIM-Control Optimisation and Calculus of Variations, v. 25, n. 58, p.1-55, 2019

Capistrano-Filho, R. A., Sun, S. M., Zhang, B. Y., Initial boundary value problem for Korteweg-de Vries equation: a review and open problems, São Paulo Journal of Mathematical Sciences, v. 13, p. 402-417, 2019

Castillo, R., Loayza, Miguel, Global existence and blow up for a coupled parabolic system with time-weighted sources on a general domain, Accepted, ZAMP - Zeitschrift für Angewandte Mathematik und Physik, 2019

Braz e Silva, P., Cruz, F. W., Freitas, L. B. S., Zingano, P. R., On the L2 decay of weak solutions for the 3D asymmetric fluids equations, Journal of Differential Equations, v. 267, p. 3578-3609, 2019

Guterres, R. H., Nunes, J. R., Perusato, C. F., On the large time decay of global solutions for the micropolar dynamics, Nonlinear Analysis - Real World Applications, v. 45, p. 789-798, 2019

Guterres, R. H., Melo, W. G., Nunes, J. R., Perusato, C. F, On the large time decay of asymmetric flows in homogeneous Sobolev spaces, Journal of Mathematical Analysis and Applications, v. 471, p. 88-101, 2019

Melo, W. G., Perusato, C. F., Rocha, N. F., On local existence, uniqueness and blow-up of solutions for the generalized MHD equations in Lei-Lin spaces, Zeitschrift für angewandte Mathematik und Physik, V. 70, p. 74-98, 2019

Melo, W. G., Perusato, C. F., Guterrez, R. H., Nunes, J. R., Large Time Decay for the Magnetohydrodynamics System in Hs˙(Rn). Acta Applicandae Mathematicae, v. 1, p. 1, 2019

ARARUNA, F. ; BRAZ E SILVA, P. ; QUEIROZ-SOUZA, P. . Asymptotic limits and stabilization for the 2D nonlinear Mindlin-Timoshenko system. Analysis & PDE, v. 11, p. 351-382, 2018.

R. A. Capistrano-Filho, Stabilization of the Gear--Grimshaw system with weak damping, J Dyn Control Syst (2018) 24:145.

R. A. Capistrano-Filho, S.-M. Sun and B.-Y. Zhang, General boundary value problems of the Korteweg-de Vries equation on a bounded domain, Mathematical Control & Related Fields (2018) 8 (3-4), 583-605.

R. A. Capistrano-Filho and F. A. Gallego, Asymptotic behavior of Boussinesq system of KdV-KdV type, J. Differential Equations 265 (2018) 2341–2374.

LOAYZA, MIGUEL; ROJAS-MEDAR, MARIA D. ; ROJAS-MEDAR, MARKO A. . A weak- Prodi-Serrin type regularity criterion for a bioconvective flow. Applicable Analysis, v. 98, p. 1-9, 2018.

BRAZ E SILVA, P.; CRUZ, F. W. ; ROJAS-MEDAR, M. . Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains. Mathematical Methods in the Applied Sciences, v. 40, p. 757-774, 2017.

BRAZ E SILVA, PABLO; MELO, WILBERCLAY G. ; ZINGANO, PAULO R. . Lower Bounds on Blow-up of Solutions for Magneto-Micropolar Fluid Systems in Homogeneous Sobolev Spaces. Acta Applicandae Mathematicae, v. 147, p. 1-17, 2017.

BRAZ E SILVA, P.; CLARK, H. R. ; FROTA, C. L. . On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions. Computational and Applied Mathematics, v. 36, p. 397-414, 2017.

M. A. Caicedo, R. A. Capistrano-Filho and B.-Y. Zhang, Neumann boundary controllability of the Korteweg-de Vries equation on a bounded domain, SIAM J. Control Optim., 55 (2017), no. 6, 3503–3532.

R. A. Capistrano-Filho, F. A. Gallego and A. F. Pazoto, Boundary controllability of the nonlinear coupled system of two Korteweg-de Vries equations with critical size restrictions on the spatial domain, Math. Control Signals Syst. (2017) 29: 6.

CASTILLO, R. ; LOAYZA, MIGUEL . A semilinear parabolic problem with variable reaction on a general domain. COMPUTERS & MATHEMATICS WITH APPLICATIONS, v. 74, p. 351-359, 2017.

BRAZ E SILVA, PABLO ; CRUZ, FELIPE W. ; ROJAS-MEDAR, MARKO A. . Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 40, p. 757-774, 2017.