Uniqueness and Decay of Weak Solutions to Phase-Lock Equations
In this paper, we prove the uniqueness of weak solutions (f, Q) to the phase-lock equations with f0 ∈ L2 and Q0 ∈ L3 when the space dimension d = 3. We also prove the uniqueness of weak solutions (f,a) to the Ginzburg-Landau equations with (f0,a0) ∈ Lp x Lp and 1< p <2 when d = 1. We will also present a result on the decay of Q as time t → ∞.
Discontinuity, Nonlinearity, and Complexity
Digital Object Identifier (DOI)
Fan, J., Nakamura, G., Zhan, M.Q. (2021) Uniqueness and Decay of Weak Solutions to Phase-Lock Equations. Discontinuity, Nonlinearity, and Complexity, 10(1), 31-41.