๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Behavior of solutions to a system related to chemotaxis

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


Weak Solutions to a Parabolic-Elliptic S
โœ Takasi Senba; Takashi Suzuki ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

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

Self-Similar Solutions to a Parabolic Sy
โœ Yลซki Naito; Takashi Suzuki; Kiyoshi Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 291 KB

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; vรž must be radially symmetric about the origin