30 citations · 34 across the 24 of their papers we have counts for
30 papers
Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity
Lucas C. F. Ferreira, Daniel P. A. Lima
We consider a chemotaxis-fluid system in the whole plane which describes the motion of bacteria suspended in a Navier-Stokes fluid and attracted by a chemical (oxy…
Well-posedness and scattering for wave equations on hyperbolic spaces with singular data
Lucas C. F. Ferreira, Pham Truong Xuan
We consider the wave and Klein-Gordon equations on the real hyperbolic space () in a framework based on weak- spaces. First, we establish dispersiv…
On the well-posedness in Besov-Herz spaces for the inhomogeneous incompressible Euler equations
Lucas C. F. Ferreira, Daniel F. Machado
In this paper we study the inhomogeneous incompressible Euler equations in the whole space with . We obtain well-posedness and blow-up results in a new frame…
Local and global analysis in Besov-Morrey spaces for inhomogeneous Navier-Stokes equations
Lucas C. F. Ferreira, Daniel F. Machado
In this paper we consider the incompressible inhomogeneous Navier-Stokes equations in the whole space with dimension . We present local and global well-posedness results i…
On bilinear estimates and critical uniqueness classes for Navier-Stokes equations
Lucas C. F. Ferreira, Jhean E. Pérez-López, Julio C. Valencia-Guevara
We are concerned with bilinear estimates and uniqueness of mild solutions for the Navier-Stokes equations in critical spaces. For that, we construct general settings in which estim…
Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects
Vladimir Angulo-Castillo, Lucas C. F. Ferreira, Leonardo Kosloff
We are concerned with the long-time solvability for 2D inviscid Boussinesq equations for a larger class of initial data which covers the case of borderline regularity. First we sho…