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arXiv · 1708.00923

Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions

Michela Eleuteri·Stefania Gatti·Giulio Schimperna
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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.

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Michela Eleuteri, Stefania Gatti, Giulio Schimperna. 2017-08-02. Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions. https://arxiv.org/abs/1708.00923

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