Growth of Sobolev norms for coupled Lowest Landau Level equations

We study coupled systems of nonlinear lowest Landau level equations, for which we prove global existence results with polynomial bounds on the possible growth of Sobolev norms of the solutions. We also exhibit explicit unbounded trajectories which show that these bounds are optimal.

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Authors: Schwinte, Valentin, Thomann, Laurent
Format: Article
Language:English
Subjects:
Mathematical analysis
Nonlinear equations
Nonlinear systems
Norms
Polynomials
Online Access:Get full text
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Description
Summary:We study coupled systems of nonlinear lowest Landau level equations, for which we prove global existence results with polynomial bounds on the possible growth of Sobolev norms of the solutions. We also exhibit explicit unbounded trajectories which show that these bounds are optimal.
ISSN:2331-8422
DOI:10.48550/arxiv.2006.01468