Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions
Analysis of PDEs
2017-08-04 v1
Abstract
We consider a thermodynamically consistent model for the evolution of thermally conducting two-phase incompressible fluids. Complementing previous results, we prove additional regularity properties of solutions in the case when the evolution takes place in the two-dimensional flat torus with periodic boundary conditions. Thanks to improved regularity, we can also prove uniqueness and characterize the long-time behavior of trajectories showing existence of the global attractor in a suitable phase-space.
Cite
@article{arxiv.1708.00923,
title = {Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions},
author = {Michela Eleuteri and Stefania Gatti and Giulio Schimperna},
journal= {arXiv preprint arXiv:1708.00923},
year = {2017}
}