5,512 research outputs found
Global solutions for micro-macro models of polymeric fluids
We provide a new proof for the global well-posedness of systems coupling
fluids and polymers in two space dimensions. Compared to the well-known
existing method based on the losing a priori estimates, our method is more
direct and much simpler. The co-rotational FENE dumbbell model and the coupling
Smoluchowski and Navier-Stokes equations are studied as examples to illustrate
our main ideas
Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum
This paper is concerned with the 1-D compressible Euler-Poisson equations
with moving physical vacuum boundary condition. It is usually used to describe
the motion of a self-gravitating inviscid gaseous star. The local
well-posedness of classical solutions is established in the case of the
adiabatic index .Comment: 28 page
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