Behavior of solutions to a system related to chemotaxis
โ Scribed by Takasi Senba; Takasi Suzuki
- Book ID
- 104329831
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 338 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study a parabolic-elliptic system of partial differential equations, which describes the chemotactic feature of slime molds. It is known that the blowup solution forms singularities such as delta functions, referred to as the collapses. Here, we study the case that the domain is a flat torus and
We study the forward self-similar solutions to a parabolic system modeling chemotaxis in the whole space R 2 ; where t is a positive constant. Using the Liouville-type result and the method of moving planes, it is proved that self-similar solutions รฐu; vร must be radially symmetric about the origin