| Abstract: |
| Landau-Lifshitz equations are the basic dynamical equations in a micromagnetic description of a ferromagnet. They are naturally viewed as geometric evolution PDE of dispersive (``Schrodinger map``) or mixed dispersive-diffusive type, which scale critically with respect to the physical energy in two dimensions. We describe some results on existence and stability of important topological soliton solutions known as ``chiral magnetic skyrmions``. This includes joint work with Li Wang. |
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