3 papers
math.AP2024
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…
math.AP2024
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…
math.AP2024
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…