Uniqueness and Decay of Weak Solutions to Phase-Lock Equations
Document Type
Article
Publication Date
1-1-2021
Abstract
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 → ∞.
Publication Title
Discontinuity, Nonlinearity, and Complexity
Volume
10
Issue
1
First Page
31
Last Page
41
Digital Object Identifier (DOI)
10.5890/DNC.2021.03.003
ISSN
21646376
E-ISSN
21646414
Citation Information
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.
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