The main aim of this note is to prove a sharp Poincare-type inequality for vector-valued functions on S2 that naturally emerges in the context of micromagnetics of spherical thin films.
|Number of pages||15|
|Journal||SIAM Journal on Mathematical Analysis|
|Early online date||21 Aug 2019|
|Publication status||E-pub ahead of print - 21 Aug 2019|
- Magnetic skyrmions
- Poincare inequality
- Vector spherical harmonics
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Dr Valeriy Slastikov
- Probability, Analysis and Dynamics
- School of Mathematics - Senior Lecturer in Applied Mathematics
- Fluids and materials
- Applied Mathematics
Person: Academic , Member