On the temporal decay of solutions to the two‐dimensional nematic liquid crystal flows
/ Authors
/ Abstract
We consider the temporal decay estimates for weak solutions to the two‐dimensional nematic liquid crystal flows, and we show that the energy norm of a global weak solution has non‐uniform decay ∥u(t)∥L2+∥∇d(t)∥L2→0ast→∞,under suitable conditions on the initial data. We also show the exact rate of the decay (uniform decay) of the energy norm of the global weak solution.
Journal: Mathematische Nachrichten