6 papers · 1 filter
Global well-posedness for the modified dispersion-generalized Benjamin-Ono equations
Mikaela Baldasso, Simão Correia, Thyago S. R. Santos
In this short note, we prove the global well-posedness of the modified dispersion-generalized Benjamin-Ono equation with dispersion , $$\partial_t u + D^α\partial_x u + u^2\…
Local well-posedness for the exponentially modified Benjamin-Ono equation
Thyago S. R. Santos
We prove local well-posedness for the modified Benjamin-Ono equation in for . This equation arises as a modified counterpart of the Benjamin-Ono equation t…
On solutions for damped fractional Navier-Stokes equations in a critical Lei-Lin-Gevrey space
Bruno S. Donato, Wilberclay G. Melo, Thyago S. R. Santos
We study the fractional Navier-Stokes equations with cubic damping in the specific Lei-Lin-Gevrey space (with and ). We establi…
Quantum communication and Bell nonlocality require infinite classical communication to simulate
Carlos de Gois, Thyago S. R. Santos, Carlos Vieira
A quantum system of any fixed dimension can be prepared in a continuum of states, yet it cannot be used to transmit an unlimited amount of classical information. Similarly, the cor…
Large data scattering for the defocusing -dispersion generalized Benjamin-Ono equation in the energy space
Luccas Campos, Felipe Linares, Thyago S. R. Santos
We study the defocusing -dispersion generalized Benjamin-Ono equation. For every even integer , we prove that solutions with initial data in the energy space $H^{\fracα…
Local existence of solutions and blow-up criteria for the Boussinesq equations in Lei-Lin-Gevrey Spaces
Patrícia L. Guidolin, Wilberclay G. Melo, Thyago S. R. Santos
This paper studies the local well-posedness and the behavior at potential finite blow-up times of mild solutions to the three-dimensional fractional Boussinesq equations in Lei-Lin…