3 papers
physics.flu-dyn2012
A Condition On Spherical Surfaces To Non-Existence Of Incompressible Velocity Fields
Manuel García-Casado
In an incompressible velocity field, the surface area of a volume varies with time, but volume remains unchanged. If incidentally the surface becomes spherical along time, the area…
physics.flu-dyn2010
A New Conserved Energy for Incompressible Navier-Stokes Equations
Manuel García-Casado
Pressure conditions in incompressible Navier-Stokes equations give rise to conservation of total energy. The energy rate getting into a volume is the same energy rate that gets out…
physics.flu-dyn2009
Connection Between Kinetic Energy And Vorticity Blow-up in 3-D Navier-Stokes Fluid
Manuel García-Casado
In this paper the author formulates and proves a theorem that relates smoothness of kinetic energy and smoothness of vorticity in a 3-D Navier-Stokes fluid. Setting velocity and vo…