On the Weak Solutions to Mixed Navier-Stokes-Darcy Model
arXiv:1608.046104 citationsh-index: 29
Originality Incremental advance
AI Analysis
Provides foundational theoretical guarantees for a coupled fluid flow model, removing previous restrictive assumptions.
The paper establishes an a priori estimate and existence of weak solutions to the mixed Navier-Stokes/Darcy model without small data or large viscosity restrictions for the first time, and proves global uniqueness.
In this paper, an a priori estimate of weak solutions to the mixed Navier-Stokes/Darcy model with Beavers-Joseph-Saffman's interface condition and the existence of a weak solution are established without the small data and/or the large viscosity restriction for the first time. Based on these results, the global uniqueness of the weak solution is obtained.