J. Carvalho

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math.AP2026

Control of the SchrÃ¶dinger equation in $R^{3}$ : The critical case

Pablo Braz e Silva, Roberto de A. Capistrano-Filho, Jackellyny Dassy do Nascimento Carvalho +1

This article deals with the $H^{1}$ --level local null controllability for the energy-critical nonlinear SchrÃ¶dinger equation in $R^{3}$ . Firstly, we demonstrate that the pr…

math.AP2024

Stabilization of a perturbed quintic defocusing SchrÃ¶dinger equation in $R^{3}$

Pablo Braz e Silva, Roberto de A. Capistrano-Filho, Jackellyny Dassy do Nascimento Carvalho +1

This article addresses the stabilizability of a perturbed quintic defocusing SchrÃ¶dinger equation in $R^{3}$ at the $H^{1}$ --energy level, considering the influence of a da…

math.AP2024

Stability and eigenvalue bounds for micropolar shear flows

Pablo Braz e Silva, Jackellyny Carvalho

We prove eigenvalue bounds for two-dimensional linearized disturbances of parallel flows of micropolar fluids, deriving the Orr-Sommerfeld equations and providing a sufficient cond…

Control of the SchrÃ¶dinger equation in R3: The critical case

Stabilization of a perturbed quintic defocusing SchrÃ¶dinger equation in R3

Stability and eigenvalue bounds for micropolar shear flows

Control of the SchrÃ¶dinger equation in $R^{3}$ : The critical case

Stabilization of a perturbed quintic defocusing SchrÃ¶dinger equation in $R^{3}$