5 papers
An Eulerian-Lagrangian Formulation of the Compressible Euler Equations with Vacuum
Wladimir Neves, Christian Olivera
In this paper, we present a novel Eulerian-Lagrangian formulation for the compressible isentropic Euler equations with vaccum. Using the developed Lagrangian flow map formulation,…
An analysis of the 2-D isentropic Euler Equations for a generalized polytropic gas law
Talita Mello, Wladimir Neves
In this paper we developed an analysis of the compressible, isentropic Euler equations in two spatial dimensions for a generalized polytropic gas law. The main focus is rotational…
Besov mixed-Morrey spaces: On an Application to the Navier-Stokes Equations
Leithold L. Aurazo-Alvarez, Wladimir Neves
In this paper we introduce two new classes of functional spaces, namely, Besov mixed-Morrey spaces and Fourier-Besov mixed-Morrey spaces, and then we establish some basic propertie…
Global well-posedness for the Navier-Stokes system in new critical mixed-norm Besov spaces
Leithold L. Aurazo-Alvarez, Wladimir Neves
In this work, we proved the existence of a unique global mild solution of the d-dimensional incompressible Navier-Stokes equations, for small initial data in Besov type spaces base…
The Hele-Shaw free boundary limit of Buckley-Leverett System
André Gomes, Wladimir Neves
This paper proposes a new approach to solving the Buckley-Leverett System, which is to consider a compressible approximation model characterized by a stiff pressure law. Passing to…