Stochastic Particle Approximation for Measure Valued Solutions of the 2D Keller-Segel System
✍ Scribed by Jan Haškovec; Christian Schmeiser
- Book ID
- 106431510
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 565 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0022-4715
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📜 SIMILAR VOLUMES
We consider the classical parabolic-parabolic Keller-Segel system describing chemotaxis, i.e., when both the evolution of the biological population and the chemoattractant concentration are described by a parabolic equation. We prove that when the equation is set in the whole space R d and dimension
## Abstract We discuss Serre's restricted formulation of the notion of a measure‐valued solution, for a 2 × 2 system whose characteristic fields are both linearly degenerate. We prove existence, uniqueness, and regularity results for this formulation. As an application, we prove the convergence of