A+ CATEGORY SCIENTIFIC UNIT

Decay and asymptotic behavior of solutions of the Keller–Segel system of degenerate and nondegenerate type

Volume 74 / 2006

Takayoshi Ogawa Banach Center Publications 74 (2006), 161-184 MSC: Primary 35K65; Secondary 35K15, 35K55, 58J35. DOI: 10.4064/bc74-0-10

Abstract

We classify the global behavior of weak solutions of the Keller–Segel system of degenerate and nondegenerate type. For the stronger degeneracy, the weak solution exists globally in time and has a uniform time decay under some extra conditions. If the degeneracy is weaker, the solution exhibits a finite time blow up if the data is nonnegative. The situation is very similar to the semilinear case. Some additional discussion is also presented.

Authors

  • Takayoshi OgawaMathematical Institute
    Tohoku University
    Sendai, 980-8578, Japan
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image