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Oscillatory behavior of Asymptotic-Preserving splitting methods for a linear model of diffusive relaxation
A kinetic model for grain growth
| 1. | Hochschulrechenzentrum der Universität Bonn, Wegelerstraße 6, D-53115 Bonn, Germany |
| 2. | University of Oxford, Mathematical Institute, 24-29 St Giles’, Oxford, OX1 3LB, United Kingdom |
| 3. | Mathematical Institute, University of Oxford, 24-29 St Giles’, Oxford, OX1 3LB |
| 4. | Instituto de Ciencias Mathemáticas (CSIC-UAM-UC3M-UCM), Serrano 123, 28006 Madrid, Spain |
We prove existence of solutions by approximation with finite dimensional systems. Key ingredients in passing to the limit are suitable super--solutions, a bound from below on the total mass, and a tightness estimate which ensures that no mass is transported to infinity in finite time.
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