The Fourth Workshop on Fluids and PDE was held at the National Institute of Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil, Monday 26 May to Friday 30 May 2014. This workshop is held every two to three years in Brazil. The fourth edition of the workshop was the closing event of a Thematic Program on Incompressible Fluids Dynamics, held at IMPA in Spring 2014. Hence, the focus of the workshop was incompressible fluid mechanics.
Some Workshop Topics

Boundary layer analysis, vanishing viscosity limit.

Vortex sheets.

Statistical behavior of solutions.

Existence, uniqueness of weak solution to the Euler and
related inviscid equations.

Singularity (“Millenium”) problem for NavierStokes,
Euler, and related fluid equations.

Longtime behavior of solutions.

Fluidstructure interaction.

Fluid flow in a vacuum.

Water waves.

Incompressible variabledensity fluids.

Anomalous dissipation, Onsager conjecture, and
related issues.